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http://dx.doi.org/10.4134/CKMS.2013.28.1.107

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

Abbas, Mujahid (Department of Mathematics Lahore University of Management Sciences)
Thakur, Balwant Singh (School of Studies in Mathematics Pt.Ravishankar Shukla University)
Thakur, Dipti (School of Studies in Mathematics Pt.Ravishankar Shukla University)
Publication Information
Communications of the Korean Mathematical Society / v.28, no.1, 2013 , pp. 107-121 More about this Journal
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; ${\Delta}$-convergence; iterative approximation; strong convergence; common fixed point;
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