International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 17637, 18 pages

Coincidence and invariant approximation theorems for generalized f-nonexpansive multivalued mappings

A. R. Khan,1 F. Akbar,2 N. Sultana,2 and N. Hussain3

1Department of Mathematical Sciences, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia
2Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan
3Department of Mathematics, King Abdul Aziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia

Received 22 July 2005; Revised 30 January 2006; Accepted 28 February 2006

Copyright © 2006 A. R. Khan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.