Vectorially G\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\textsf{G}}$$\end{document}-contraction mappings and best proximity pointsVectorially G\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\textsf{G}}$$\end{document}-contraction mappings and best proximity pointsK. Fallahi et al.

被引：0

作者：

K. Fallahi ^{[1
]}

A. Petruşel ^{[2
]}

G. Soleimani Rad ^{[3
]}

机构：

[1] Razi University,Department of Financial Management, Javanroud Faculty of Management and Accounting

[2] Babeş-Bolyai University Cluj-Napoca,Department of Mathematics

[3] Academy of Romanian Scientists,undefined

来源：

Rendiconti del Circolo Matematico di Palermo Series 2 | 2025年 / 74卷 / 4期

关键词：

-contraction; -Dedekind complete Riesz space; Vectorially ; -continuous; Vectorially ; -proximal mapping; Graphical vector metric spaces; Best proximity point; 54H25; 47H09; 35B15;

D O I：

10.1007/s12215-025-01218-4

中图分类号：

学科分类号：

摘要：

The underlying aims of this work are first to state vectorial version of a class of mappings, named G\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\textsf{G}}$$\end{document}-contraction, and second to show the existence of best proximity points for such mappings in a graphical vector metric, which can entail a large number of former results. One fundamental issue that can be distinguished between this work and previous researches is that it can also involve all of results stated by taking comparable and ε\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varepsilon $$\end{document}-close elements.

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