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Journal of Mathematics and Applications
2016 Vol. 39 81--90
EN A very interesting approach in the theory of fixed point is some general structures was recently given by Jachymski by using the context of metric spaces endowed with a graph. The purpose of this article is to present some new fixed point results for G-nonexpansive mappings defined on an ultrametric[...]
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Journal of Applied Analysis
EN In this paper, we construct a new iterative scheme by hybrid methods to approximate a common element in the fixed points set of an infinite family of relatively quasi-nonexpansive mappings, the solutions set of a variational inequality problem and the solutions set of a system of generalized mixed e[...]
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Demonstratio Mathematica
EN Some coincidence point theorems for R-subweakly commuting mappings satisfying a general contractive condition are proved. As applications, some best proximity pair results are also obtained and several related results in the literature are extended to a new class of noncommuting mappings.
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Journal of Applied Analysis
EN We prove some new results on the existence of common fixed points for nonexpansive and asymptotically nonexpansive mappings in the framework of convex metric spaces. We also obtain some results on common fixed points from the set of best and best simultaneous approximations as applications. The prov[...]
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Journal of Mathematics and Applications
2007 Vol. 29 5-16
EN Implicit and explicit processes for eonstructing the unique sunny nonexpansive retraction onto the common fixed point set of either a finite or infmite family of nonexpansive mappings in a Banach space are proposed and corresponding convergence theorems are established.
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