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
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
Journal title :
Journal of Nonlinear Science and Applications
