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

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

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

Subject Terms: 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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Access URL: https://zbmath.org/8035925
https://doi.org/10.1007/s41478-024-00864-8

Extragradient method with feasible inexact projection to variational inequality problem

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

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

Subject Terms: 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

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Access URL: 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

Authors: Jun-zuo Li, Yi-bin Xiao

Source: Journal of Optimization Theory and Applications. 205

Subject Terms: 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

Authors: Sani Salisu, Songpon Sriwongsa, Poom Kumam

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

Subject Terms: 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

Authors: Alakoya, Timilehin Opeyemi, Mewomo, Oluwatosin Temitope

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

Subject Terms: 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

Authors: Pham Ky Anh, Trinh Ngoc Hai

Source: Computational and Applied Mathematics. 44

Subject Terms: 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

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

Source: Journal of Optimization Theory and Applications. 205

Subject Terms: 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

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

Source: Computational and Applied Mathematics. 44

Subject Terms: 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

Authors: Eslamian, Mohammad, Kamandi, Ahmad

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

Subject Terms: 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

Authors: Rouhani, Behzad Djafari, Mohebbi, Vahid

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

Subject Terms: 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

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

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

Subject Terms: 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

File Description: application/xml

Access URL: https://zbmath.org/7891352

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

Authors: Xie, Zhongbing, Li, Min

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

Subject Terms: 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

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

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

Subject Terms: 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

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Access URL: 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

Authors: Fernando Roldán

Source: Journal of Optimization Theory and Applications. 204

Subject Terms: 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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Access URL: http://arxiv.org/abs/2310.17265

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

Authors: Wang, Kai, Wang, Qun

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

Subject Terms: 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

File Description: application/xml

Access URL: https://zbmath.org/7778581

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

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

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

Subject Terms: 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

File Description: application/xml

Access URL: 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

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

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

Subject Terms: 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

File Description: application/xml; application/pdf

Access URL: 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

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

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

Subject Terms: 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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Access URL: https://doaj.org/article/6e1acb420dc6478795361c04866f9c9d

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

Authors: Zheng Zhou, Bing Tan, Songxiao Li

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

Subject Terms: 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

File Description: application/xml

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

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

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

Subject Terms: 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

File Description: application/xml

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