Academic Journal
Diameter Approximate Best Proximity Pair in Fuzzy Normed Spaces: Diameter approximate best proximity pair in fuzzy normed spaces
| Title: | Diameter Approximate Best Proximity Pair in Fuzzy Normed Spaces: Diameter approximate best proximity pair in fuzzy normed spaces |
|---|---|
| Authors: | S. A. M. Mohsenialhosseini, Morteza Saheli |
| Source: | Sahand Communications in Mathematical Analysis, Vol 16, Iss 1, Pp 17-34 (2019) |
| Publisher Information: | University of Maragheh, Faculty of Science, Department of Mathematics, Maragheh, Iran, 2019. |
| Publication Year: | 2019 |
| Subject Terms: | $alpha$-asymptotically regular, Cyclic maps, \(\alpha\)-asymptotically regular, Fuzzy functional analysis, 02 engineering and technology, 01 natural sciences, $F$-Kannan operator, Fuzzy diameter, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), cyclic maps, 0202 electrical engineering, electronic engineering, information engineering, QA1-939, \(F\)-Kannan operator, fuzzy diameter, 0101 mathematics, Mathematics |
| Description: | Summary: The main purpose of this paper is to study the approximate best proximity pair of cyclic maps and their diameter in fuzzy normed spaces defined by \textit{T. Bag} and \textit{S. K. Samanta} [J. Fuzzy Math. 11, No. 3, 687--705 (2003; Zbl 1045.46048); Fuzzy Sets Syst. 151, No. 3, 513--547 (2005; Zbl 1077.46059); Inf. Sci. 177, No. 16, 3271--3289 (2007; Zbl 1127.47059)]. First, approximate best point proximity points on fuzzy normed linear spaces are defined and four general lemmas are given regarding approximate fixed point and approximate best proximity pair of cyclic maps on fuzzy normed spaces. Using these results, we prove theorems for various types of well-known generalized contractions in fuzzy normed spaces. Also, we apply our results to get an application of approximate fixed point and approximate best proximity pair theorem of their diameter. |
| Document Type: | Article |
| File Description: | application/xml |
| ISSN: | 2322-5807 |
| DOI: | 10.22130/scma.2018.83850.420 |
| Access URL: | https://zbmath.org/7125352 https://doi.org/10.22130/scma.2018.83850.420 https://doaj.org/article/6a9f527e257b4f7e8faeb45e6d5c5be9 https://scma.maragheh.ac.ir/article_36659_89544cc8cecc2b2c61d92c42dffa6116.pdf https://scma.maragheh.ac.ir/article_36659.html |
| Accession Number: | edsair.dedup.wf.002..60d294a22cb20083610c5a3b6c808425 |
| Database: | OpenAIRE |
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