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http://dx.doi.org/10.4134/BKMS.2007.44.3.537

COMMON FIXED POINT AND INVARIANT APPROXIMATION RESULTS

Abbas, Mujahid (DEPARTMENT OF MATHEMATICS INDIANA UNIVERSITY)
Kim, Jong-Kyu (DEPARTMENT OF MATHEMATICS EDUCATION KYUNGNAM UNIVERSITY)

Publication Information

Bulletin of the Korean Mathematical Society / v.44, no.3, 2007 , pp. 537-545 More about this Journal

Abstract

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.

Keywords

metrizable topological vector space; common fixed point; uniformly R-subweakly commuting mapping; asymptotically S-nonexpansive mapping; best approximation;

Citations & Related Records

Times Cited By Web Of Science : 0 (Related Records In Web of Science)
Times Cited By SCOPUS : 1

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