Title of article
Application of fixed point theorems to best simultaneous approximation in ordered semi-convex structure
Author/Authors
Hussain ، N. King Abdul Aziz University , Pathak ، H. K. - Pt. Ravishankar Shukla University , Tiwari ، S. Shri Shankaracharya Institute of Professional Management and Technology
Pages
13
From page
294
To page
306
Abstract
In this paper, we establish some common fixed point results for uniformly Cq-commuting asymptotically S-nonexpansive maps in a Banach space with semi-convex structure. We also extend the main results of Ćirić [Lj. B. Ćirić, Publ. Inst. Math., 49 (1991), 174-178] and [Lj. B. Ćirić, Arch. Math. (BRNO), 29 (1993), 145-152] to semi-convex structure and obtain common fixed point results for Banach operator pair. The existence of invariant best simultaneous approximation in ordered semi-convex structure is also established.
Keywords
Common fixed point , asymptotically Snonexpansive map , Banach operator pair , best simultaneous approximation
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2012
Journal title
Journal of Nonlinear Science and Applications
Record number
2475369
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