11 Result(s)
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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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Article
Fixed points of generalized \(\alpha \) - \(\psi \) -contractions
In this paper, we introduce generalized \(\alpha \) - ...
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Article
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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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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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
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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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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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
