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Mujahid Abbas,Safeer Hussain Khan,김종규 영남수학회 2010 East Asian mathematical journal Vol.26 No.5
We study one-step iteration process to approximate common fixed points of two nonexpansive mappings and prove some convergence theorems in convex metric spaces. Using the so-called condition (A′), the convergence of iteratively defined sequences in a uniformly convex metric space is also obtained.
COMMON FIXED POINT AND INVARIANT APPROXIMATION RESULTS
Abbas, Mujahid,Kim, Jong-Kyu Korean Mathematical Society 2007 대한수학회보 Vol.44 No.3
Necessary conditions for the existence of common fixed points for noncommuting mappings satisfying generalized contractive conditions in the setup of certain metrizable topological vector spaces are obtained. As applications, related results on best approximation are derived. Our results extend, generalize and unify various known results in the literature.
Common Fixed Points of Generalized Rational Type Cocyclic Mappings in Multiplicative Metric Spaces
Abbas, Mujahid,De la Sen, Manuel,Nazir, Talat Hindawi Limited 2015 Discrete dynamics in nature and society Vol.2015 No.-
<P>The aim of this paper is to present fixed point result of mappings satisfying a generalized rational contractive condition in the setup of multiplicative metric spaces. As an application, we obtain a common fixed point of a pair of weakly compatible mappings. Some common fixed point results of pair of rational contractive types mappings involved in cocyclic representation of a nonempty subset of a multiplicative metric space are also obtained. Some examples are presented to support the results proved herein. Our results generalize and extend various results in the existing literature.</P>
Abbas, Mujahid,Khan, Safeer Hussain,Kim, Jong-Kyu The Youngnam Mathematical Society Korea 2010 East Asian mathematical journal Vol.26 No.5
We study one-step iteration process to approximate common fixed points of two nonexpansive mappings and prove some convergence theorems in convex metric spaces. Using the so-called condition (A'), the convergence of iteratively defined sequences in a uniformly convex metric space is also obtained.
Common fixed point and invariant approximation results
Mujahid Abbas,김종규 대한수학회 2007 대한수학회보 Vol.44 No.3
Necessary conditions for the existence of common xed pointsfor noncommuting mappings satisfying generalized contractive conditionsin the setup of certain metrizable topological vector spaces are obtained.As applications, related results on best approximation are derived. Ourresults extend, generalize and unify various known results in the litera-ture.
FIXED POINTS OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN THE INTERMEDIATE SENSE IN CAT(0) SPACES
Abbas, Mujahid,Thakur, Balwant Singh,Thakur, Dipti Korean Mathematical Society 2013 대한수학회논문집 Vol.28 No.1
The purpose of this paper is to investigate the demiclosed principle, the existence theorems and convergence theorems in CAT(0) spaces for a class of mappings which is essentially wider than that of asymptotically nonexpansive mappings. The structure of fixed point set of such mappings is also studied. Our results generalize, unify and extend several comparable results in the existing literature.
Common fixed point and invariant approximation in Menger convex metric spaces
Nawab Hussain,Mujahid Abbas,Jong Kyu Kim 대한수학회 2008 대한수학회보 Vol.45 No.4
Necessary conditions for the existence of common fixed points for noncommuting mappings satisfying generalized contractive conditions in a Menger convex metric space are obtained. As an application, related results on best approximation are derived. Our results generalize various well known results. Necessary conditions for the existence of common fixed points for noncommuting mappings satisfying generalized contractive conditions in a Menger convex metric space are obtained. As an application, related results on best approximation are derived. Our results generalize various well known results.
COINCIDENCE AND COMMON FIXED POINTS OF NONCOMPATIBLEMAPS
Beg, Ismat,Abbas, Mujahid The Korean Society for Computational and Applied M 2011 Journal of applied mathematics & informatics Vol.29 No.3
Fixed point theorems for two hybrid pairs of single valued and multivalued noncompatible maps under strict contractive condition are proved, without appeal to continuity of any map involved therein and completeness of underlying space. These results extend, unify and improve the earlier comparable known results.