21 Result(s)
within
N Shahzad
Mathematics
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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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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
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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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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Article
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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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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Article
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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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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Article
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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Article
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
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Article
An application of a random fixed point theorem to random best approximation
The existence of invariant random best approximations in Banach spaces is proved.
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Article
On Maximal Monotone Differential Inclusions in RN
In this paper we consider differential inclusions driven by a maximalmonotone operator. First we show that for the nonconvex system the solutionset viewed as a multifunction of the initial condition admits a c...
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Properties of the solution set of nonlinear evolution inclusions
In this paper we examine nonlinear, nonautonomous evolution inclusions defined on a Gelfand triple of spaces. First we show that the problem with a convex-valued,h*-usc inx orientor fieldF(t, x) has a solution se...
