10 Result(s)
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Article
Best proximity point theorems for proximal cyclic contractions
The purpose of this article is to compute a global minimizer of the function \(x\longrightarrow d(x, Tx)\) ...
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Article
Common best proximity point theorems: Global minimization of some real-valued multi-objective functions
Let us deliberate the question of computing a solution to the problems that can be articulated as the simultaneous equations $${Sx = x...
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Article
Open AccessSome results on fixed points of α-ψ-Ciric generalized multifunctions
In 2012, Samet, Vetro and Vetro introduced α-ψ-contractive map**s and gave some results on a fixed point of the map**s (Samet et al. in Nonlinear Anal. 75:2154-2165, 2012). In fact, their technique generalize...
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Article
Open AccessApproximation of the common minimum-norm fixed point of a finite family of asymptotically nonexpansive map**s
We introduce an iterative process which converges strongly to the common minimum-norm fixed point of a finite family of asymptotically nonexpansive map**s. As a consequence, convergence result to a common mi...
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Article
Convergence of an iterative scheme for multifunctions
Recently, Reich and Zaslavski have studied a new inexact iterative scheme for fixed points of contractive and nonexpansive multifunctions. In this paper, we generalize some of their results to Suzuki-type mult...
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Open AccessOn fixed points of α-ψ-contractive multifunctions
Recently Samet, Vetro and Vetro introduced the notion of α-ψ-contractive type map**s and established some fixed point theorems in complete metric spaces. In this paper, we introduce the notion of ...
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Article
Open AccessBest proximity point theorems for reckoning optimal approximate solutions
Given a non-self map** from A to B, where A and B are subsets of a metric space, in order to compute an optimal approximate solution of the equation ...
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Open AccessBest proximity point theorems for generalized proximal contractions
Best proximity point theorems unravel the techniques for determining an optimal approximate solution, designated as a best proximity point, to the equation Tx = x which is likely to have no solution when T is a n...
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Article
Best proximity results in regular cone metric spaces
First, we define the notion of distance between two subsets in regular cone metric spaces. Then, we establish some conditions which guarantee the existence of best proximity points for cyclic contraction mappi...
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Open AccessBest Proximity Points of Cyclic -Contractions on Reflexive Banach Spaces
We provide a positive answer to a question raised by Al-Thagafi and Shahzad (Nonlinear Analysis, 70 (2009), 3665-3671) about best proximity points of cyclic
