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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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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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Open AccessHuman genome meeting 2016
O1 The metabolomics approach to autism: identification of biomarkers for early detection of autism spectrum disorder
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Convergence to a Common Fixed Point of a Finite Family of Generalized Asymptotically Nonexpansive Map**s
We introduce an iterative process which converges strongly to a common fixed point of a finite family of uniformly continuous generalized asymptotically nonexpansive map**s in Hilbert spaces. As a consequenc...
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Article
Fixed points of generalized \(\alpha \) - \(\psi \) -contractions
In this paper, we introduce generalized \(\alpha \) - ...
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Open AccessFixed point results on subgraphs of directed graphs
In this paper, we obtain some fixed point results on subgraphs of directed graphs. We show that the Caristi fixed point theorem and a version of Knaster-Tarski fixed point theorem are special cases of our resu...
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Best proximity point theorems: exposition of a significant non-linear programming problem
The primary goal of this work is to address the non-linear programming problem of globally minimizing the real valued function x → d(x, Tx) where T is presumed to be a non-self map** that is a generalized proxi...
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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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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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Best proximity points: approximation and optimization
A best proximity point theorem explores the existence of an optimal approximate solution, known as a best proximity point, to the equations of the form Tx = x where T is a non-self map**. The purpose of this ar...
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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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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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Article
Microfluidic housing system: a useful tool for the analysis of dye-sensitized solar cell components
In order to understand the behavior of the different dye-sensitized solar cell (DSC) components, an in-situ analysis should give fundamental help but it is impossible to be performed without compromising the i...
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Strong convergence theorems for variational inequality problems and quasi- \({\phi}\) -asymptotically nonexpansive map**s
In this paper, we introduce an iterative process which converges strongly to a common solution of finite family of variational inequality problems for γ-inverse strongly monotone map**s and fixed point of two c...
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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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Open AccessUrinary human polyomavirus and papillomavirus infection and bladder cancer risk
The association of transitional cell carcinomas of the bladder (TCB) with Schistosoma haematobium suggested a possible role of infections in the aetiology of TCB.
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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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Common Best Proximity Points: Global Optimal Solutions
Let S:A→B and T:A→B be given non-self map**s, where A and B are non-empty subsets of a metric space. As S and T are non-self map**s, the equations Sx=x and Tx=x do not necessarily have a common solution, call...
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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