FIXED POINTS OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN THE INTERMEDIATE SENSE IN CAT(0) SPACES

Title & Authors
FIXED POINTS OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN THE INTERMEDIATE SENSE IN CAT(0) SPACES
Abbas, Mujahid; Thakur, Balwant Singh; Thakur, Dipti;

Abstract
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.
Keywords
CAT(0) space;asymptotically nonexpansive mapping in the intermediate sense;demiclosed principle;$\small{{\Delta}}$-convergence;iterative approximation;strong convergence;common fixed point;
Language
English
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