-
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...
-
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...
-
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 ...
-
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 ...
-
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...
-
Article
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