Convergence results for Górnicki type contractive mapping in CAT(0) spaces

Συγγραφείς: Godwin Chidi Ugwunnadi, Abdul Rahim Khan, Austine Efut Ofem

Πηγή: The Journal of Analysis. 33:825-838

Θεματικοί όροι: CAT(0) space, Iterative procedures involving nonlinear operators, fixed point, Variational and other types of inequalities involving nonlinear operators (general), nonlinear integral equations, Ishikawa iteration, \(\Delta\)-convergence, Górnicki-type contractive mapping, Monotone operators and generalizations, Numerical methods for variational inequalities and related problems

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Σύνδεσμος πρόσβασης: https://zbmath.org/8035925
https://doi.org/10.1007/s41478-024-00864-8

Extragradient method with feasible inexact projection to variational inequality problem

Συγγραφείς: R. Díaz Millán, O. P. Ferreira, J. Ugon

Πηγή: Computational Optimization and Applications. 89:459-484

Θεματικοί όροι: 0211 other engineering and technologies, conditional gradient method, variational inequality problem, 02 engineering and technology, Variational inequalities, 01 natural sciences, Frank-Wolfe algorithm, feasible inexact projection, Optimization and Control (math.OC), 65K05, 90C30, 90C25, FOS: Mathematics, extragradient method, 0101 mathematics, Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming), Mathematics - Optimization and Control, Numerical methods for variational inequalities and related problems

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2309.00648
https://zbmath.org/7932036
https://doi.org/10.1007/s10589-024-00592-6

A Modified Popov Algorithm for Non-Monotone and Non-Lipschitzian Stochastic Variational Inequalities: A modified Popov algorithm for non-monotone and non-Lipschitzian stochastic variational inequalities

Συγγραφείς: Jun-zuo Li, Yi-bin Xiao

Πηγή: Journal of Optimization Theory and Applications. 205

Θεματικοί όροι: stochastic variational inequality, Stochastic approximation, stochastic approximation, modified Popov method, variable sample-size, Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming), Numerical methods for variational inequalities and related problems

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Golden ratio method for solving monotone variational inequality problems in Hadamard spaces

Συγγραφείς: Sani Salisu, Songpon Sriwongsa, Poom Kumam

Πηγή: Mathematical Methods in the Applied Sciences. 47:10101-10116

Θεματικοί όροι: fixed point, Fixed-point and coincidence theorems (topological aspects), monotone proximal operator, 0211 other engineering and technologies, convex optimisation, 02 engineering and technology, Hadamard space, variational inequality, 0101 mathematics, Variational inequalities, golden ratio iterative algorithm, 01 natural sciences, Numerical methods for variational inequalities and related problems

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Relaxed Inertial Method for Solving Split Monotone Variational Inclusion Problem with Multiple Output Sets Without Co-coerciveness and Lipschitz Continuity: Relaxed inertial method for solving split monotone variational inclusion problem with multiple output sets without co-coerciveness and Lipschitz continuity

Συγγραφείς: Alakoya, Timilehin Opeyemi, Mewomo, Oluwatosin Temitope

Πηγή: Acta Mathematica Sinica, English Series. 40:1697-1726

Θεματικοί όροι: Iterative procedures involving nonlinear operators, inertial technique, Numerical solutions to equations with nonlinear operators, split inverse problems, non-Lipschitz operators, self-adaptive step sizes, Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming), Numerical methods for variational inequalities and related problems

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A simple regularized forward–backward–forward dynamical system for structured monotone inclusions: A simple regularized forward-backward-forward dynamical system for structured monotone inclusions

Συγγραφείς: Pham Ky Anh, Trinh Ngoc Hai

Πηγή: Computational and Applied Mathematics. 44

Θεματικοί όροι: iterative regularization method, Convex programming, Evolution inclusions, Parallel numerical computation, Monotone operators and generalizations, forward-backward-forward method, dynamical system, Numerical methods for variational inequalities and related problems, structured monotone inclusions

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Relaxed Two-Step Inertial Tseng’s Extragradient Method for Nonmonotone Variational Inequalities: Relaxed two-step inertial Tseng's extragradient method for nonmonotone variational inequalities

Συγγραφείς: Duong Viet Thong, Pham Ky Anh, Vu Tien Dung

Πηγή: Journal of Optimization Theory and Applications. 205

Θεματικοί όροι: nonmonotone mapping, Fixed-point theorems, Iterative procedures involving nonlinear operators, Variational and other types of inequalities involving nonlinear operators (general), two step inertial technique, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc, weak convergence, Parallel numerical computation, Parallel algorithms in computer science, Tseng's extragradient method, variational inequality, Numerical methods for variational inequalities and related problems

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An efficient algorithm with double inertial steps for solving split common fixed point problems and an application to signal processing

Συγγραφείς: Duong Viet Thong, Simeon Reich, Xiao-Huan Li, Pham Thi Hong Tham

Πηγή: Computational and Applied Mathematics. 44

Θεματικοί όροι: Fixed-point theorems, split common fixed point problem, demicontractive operator, Parallel numerical computation, Parallel algorithms in computer science, signal processing, Monotone operators and generalizations, self-adaptive algorithm, Numerical methods for variational inequalities and related problems, double inertial steps

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A novel method for hierarchical variational inequality with split common fixed point constraint

Συγγραφείς: Eslamian, Mohammad, Kamandi, Ahmad

Πηγή: Journal of Applied Mathematics and Computing. 70:1837-1857

Θεματικοί όροι: Fixed-point theorems, binary classification, Variational and other types of inequalities involving nonlinear operators (general), split common fixed point problem, demimetric mappings, Numerical methods for variational inequalities and related problems, hierarchical variational inequality problem

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A variant of the extragradient method for approximating solutions of pseudo-monotone quasi-variational inequalities

Συγγραφείς: Rouhani, Behzad Djafari, Mohebbi, Vahid

Πηγή: Discrete and Continuous Dynamical Systems - S. 17:3116-3128

Θεματικοί όροι: Iterative procedures involving nonlinear operators, Variational and other types of inequalities involving nonlinear operators (general), Nonlinear programming, quasi-variational inequality, Lipschitz continuous, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc, pseudo-monotone operator, extragradient method, quasi-nonexpansive mapping, Monotone operators and generalizations, Numerical methods for variational inequalities and related problems

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Strong Convergence Results for Variational Inequality and Equilibrium Problem in Hadamard Spaces: Strong convergence results for variational inequality and equilibrium problem in Hadamard spaces

Συγγραφείς: Ugwunnadi, G. C., Okeke, C. C., Khan, A. R., Jolaoso, L. O.

Πηγή: Kragujevac Journal of Mathematics. 47:825-845

Θεματικοί όροι: demimetric mapping, Fixed-point and coincidence theorems (topological aspects), inverse strongly monotone operator, variational inequality problem, Hadamard space, Special maps on metric spaces, viscosity iteration scheme, equilibrium problem, Numerical methods for variational inequalities and related problems

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Σύνδεσμος πρόσβασης: https://zbmath.org/7891352

Accelerated subgradient extragradient methods with increasing self-adaptive step size for variational inequalities

Συγγραφείς: Xie, Zhongbing, Li, Min

Πηγή: Communications in Nonlinear Science and Numerical Simulation. 147:108794

Θεματικοί όροι: strong convergence, Iterative procedures involving nonlinear operators, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc, variational inequality, Variational inequalities, viscosity method, subgradient extragradient method, Numerical methods for variational inequalities and related problems, Mann-type method

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Adaptive double-inertial projection rules for variational inequalities and CFPPs of finite Bregman relative demicontractions and asymptotical nonexpansivity operators

Συγγραφείς: Lu-Chuan Ceng, Yue Zhang, Liu-Fang Zheng, Xie Wang, Cong-Shan Wang, Hui-Ying Hu

Πηγή: Communications in Nonlinear Science and Numerical Simulation. 146:108763

Θεματικοί όροι: Fixed-point theorems, adaptive double-inertial Bregman projection schemes, a pair of VIPs, finite Bregman's relative demicontractions, Parallel numerical computation, Bregman's relative asymptotic nonexpansivity operator, Monotone operators and generalizations, CFPP, Approximation algorithms, Numerical methods for variational inequalities and related problems

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8026124
https://doi.org/10.1016/j.cnsns.2025.108763

Forward-Primal-Dual-Half-Forward Algorithm for Splitting Four Operators: Forward-primal-dual-half-forward algorithm for splitting four operators

Συγγραφείς: Fernando Roldán

Πηγή: Journal of Optimization Theory and Applications. 204

Θεματικοί όροι: monotone inclusion, Convex programming, convex optimization, Numerical mathematical programming methods, Optimization and Control (math.OC), 47H05, 65K05, 65K15, 90C25, FOS: Mathematics, monotone operators, Monotone operators and generalizations, Mathematics - Optimization and Control, operator splitting, Numerical methods for variational inequalities and related problems, convergence analysis

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2310.17265

A note on the linear convergence of generalized primal-dual hybrid gradient methods

Συγγραφείς: Wang, Kai, Wang, Qun

Πηγή: Pacific Journal of Optimization. 19:551-567

Θεματικοί όροι: linear convergence rate, predictor-corrector, Variational and other types of inequalities involving nonlinear operators (general), error bound, Rate of convergence, degree of approximation, saddle point problem, Minimax problems in mathematical programming, primal-dual hybrid gradient algorithm, Numerical methods for variational inequalities and related problems

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7778581

Double inertial subgradient extragradient algorithm for solving equilibrium problems and common fixed point problems with application to image restoration

Συγγραφείς: Cholamjiak, Prasit, Xie, Zhongbing, Li, Min, Paimsang, Papinwich

Πηγή: Journal of Computational and Applied Mathematics. 460:116396

Θεματικοί όροι: Iterative procedures involving nonlinear operators, fixed point, linear convergence, inertial method, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc, weak convergence, Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming), equilibrium problem, Numerical methods for variational inequalities and related problems

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Σύνδεσμος πρόσβασης: https://zbmath.org/7968705
https://doi.org/10.1016/j.cam.2024.116396

INERTIAL MANN-KRASNOSELSKII ALGORITHM WITH SELF ADAPTIVE STEPSIZE FOR SPLIT VARIATIONAL INCLUSION PROBLEM AND PARAMONOTONE EQUILIBRIA: Inertial Mann-Krasnoselskii algorithm with self adaptive stepsize for split variational inclusion problem and paramonotone equilibria

Συγγραφείς: Lateef O. Jolaoso, Akindele A. Mebawondu, Oluwatosin T. Mewomo

Πηγή: Mathematical Modelling and Analysis, Vol 27, Iss 2 (2022)
Mathematical Modelling and Analysis; Vol 27 No 2 (2022); 179–198

Θεματικοί όροι: Iterative procedures involving nonlinear operators, split variational inclusion, Numerical solutions to equations with nonlinear operators, QA1-939, self adaptive stepsize, pseudomonotonicity, 0101 mathematics, 01 natural sciences, Mathematics, equilibrium problem, Numerical methods for variational inequalities and related problems

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: https://doaj.org/article/431920407faf410ea4d74b2557331d1a
https://journals.vilniustech.lt/index.php/MMA/article/view/13949

Modified inertial viscosity extrapolation method for solving quasi-monotone variational inequality and fixed point problems in real Hilbert spaces

Συγγραφείς: Jacob A. Abuchu, Austine E. Ofem, Hüseyin Işık, Godwin C. Ugwunnadi, Ojen K. Narain

Πηγή: Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-21 (2024)

Θεματικοί όροι: Variational inequality, inertial extrapolation method, 0211 other engineering and technologies, Quasi-monotone operator, 02 engineering and technology, variational inequality, Variational inequalities, viscosity approximation, 01 natural sciences, Viscosity approximation, strong convergence, Iterative procedures involving nonlinear operators, quasi-monotone operator, Strong convergence, QA1-939, 0101 mathematics, Mathematics, Inertial extrapolation method, Numerical methods for variational inequalities and related problems

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Σύνδεσμος πρόσβασης: https://doaj.org/article/6e1acb420dc6478795361c04866f9c9d

Inertial algorithms with adaptive stepsizes for split variational inclusion problems and their applications to signal recovery problem

Συγγραφείς: Zheng Zhou, Bing Tan, Songxiao Li

Πηγή: Mathematical Methods in the Applied Sciences. 47:9431-9449

Θεματικοί όροι: signal recovery, Iterative procedures involving nonlinear operators, inertial method, split variational inclusion problem, Meir-Keeler contraction, Variational and other types of inclusions, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc, Variational inequalities, Monotone operators and generalizations, adaptive stepsize, Numerical methods for variational inequalities and related problems, Mann-type method

Περιγραφή αρχείου: application/xml

Strong convergence of a self-adaptive inertial Tseng's extragradient method for pseudomonotone variational inequalities and fixed point problems

Συγγραφείς: Uzor Victor Amarachi, Alakoya Timilehin Opeyemi, Mewomo Oluwatosin Temitope

Πηγή: Open Mathematics, Vol 20, Iss 1, Pp 234-257 (2022)

Θεματικοί όροι: 47j25, Numerical solutions to equations with nonlinear operators, tseng's extragradient method, 65j15, 65k15, 0211 other engineering and technologies, 02 engineering and technology, 90c33, adaptive step size, strong convergence, Iterative procedures involving nonlinear operators, fixed point, inertial technique, pseudomonotone, QA1-939, Tseng's extragradient method, demicontractive, Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming), Mathematics, variational inequalities, Numerical methods for variational inequalities and related problems

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Σύνδεσμος πρόσβασης: https://zbmath.org/7517553
https://doi.org/10.1515/math-2022-0030
https://doaj.org/article/05561771580a4c78933bd776518d6706