International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 10, Pages 17637, 18 p.
doi:10.1155/IJMMS/2006/17637
Coincidence and invariant approximation theorems for generalized f-nonexpansive multivalued mappings
A.R. Khan1
, F. Akbar2
, N. Sultana2
and N. Hussain4
1Department of Mathematical Sciences, King Fahd
University of Petroleum \& Minerals, Dhahran, Saudi Arabia
2Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan
4Department of Mathematics, King Abdul Aziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia
Abstract
The main purpose of this paper is to prove some new coincidence and common fixed point theorems for noncommuting generalized f-nonexpansive multivalued mappings on non-starshaped domain in the framework of a Banach space. As applications, related common fixed point, invariant approximation, and random coincidence point results are established. This work provides extension as well as substantial improvement of several results in the existing literature.