COMMON FIXED POINT AND INVARIANT APPROXIMATION IN MENGER CONVEX METRIC SPACES

Title & Authors
COMMON FIXED POINT AND INVARIANT APPROXIMATION IN MENGER CONVEX METRIC SPACES
Hussain, Nawab; Abbas, Mujahid; Kim, Jong-Kyu;

Abstract
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.
Keywords
convex metric space;common fixed point;uniformly $\small{C_q}$-commuting mapping;asymptotically S-nonexpansive mapping;best approximation;
Language
English
Cited by
1.
APPROXIMATION OF NEAREST COMMON FIXED POINTS OF ASYMPTOTICALLY I-NONEXPANSIVE MAPPINGS IN BANACH SPACES,;;;

대한수학회논문집, 2011. vol.26. 3, pp.483-498
1.
APPROXIMATION OF NEAREST COMMON FIXED POINTS OF ASYMPTOTICALLY I-NONEXPANSIVE MAPPINGS IN BANACH SPACES, Communications of the Korean Mathematical Society, 2011, 26, 3, 483
2.
Fixed Point Approximation of Generalized Nonexpansive Mappings in Hyperbolic Spaces, International Journal of Mathematics and Mathematical Sciences, 2015, 2015, 1
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