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Approximation of common best proximity points for proximally mean nonexpansive mappings in Banach spaces

The Journal of Analysis
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dipti Thakur, R. Bhagat
semanticscholar   +2 more sources

Common best proximity points theorems in metric spaces

Optimization Letters, 2012
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Common best proximity point results in intuitionistic fuzzy metric spaces for ℛ-proximally weak commuting mappings

New Mathematics and Natural Computation
Best proximity point theory provides an effective framework for treating non-self mappings in situations where fixed points cannot arise. This work develops such a framework within the setting of intuitionistic fuzzy metric spaces in the sense of Park ...
R. Vinoth, M. Jayalakshmi
semanticscholar   +1 more source

Existence of common best proximity points of generalized $S$-proximal contractions

2017
In this article, we introduce a new notion of proximal contraction, named as generalized S-proximal contraction and derive a common best proximity point theorem for proximally commuting non-self mappings, thereby yielding the common optimal approximate solution of some fixed point equations when there is no common solution.
Nashine, Hemant, Kadelburg, Zoran
openaire   +1 more source

A Geometric S‐Iteration Method for Approximating Common Best Proximity Points of Proximally Mean Nonexpansive Mappings in Banach Spaces

Mathematical methods in the applied sciences
In this article, we introduce a new three‐step iteration method, called the geometric S‐iteration method, which combines a geometrically constructed iteration scheme with the S‐iteration method.
T. Seangwattana, Konrawut Khammahawong
semanticscholar   +1 more source

Common best proximity points: global minimization of multi-objective functions

Journal of Global Optimization, 2011
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Iterative approximation to common best proximity points of proximally mean nonexpansive mappings in Banach spaces

Afrika Matematika, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
V. Pragadeeswarar, R. Gopi
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Best proximity point theorems: An exploration of a common solution to approximation and optimization problems

Applied Mathematics and Computation, 2012
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openaire   +3 more sources

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