MULTIVALUED FIXED POINT RESULTS AND STABILITY OF FIXED POINT SETS IN METRIC SPACES

Abstract

In this paper we establish certain multivalued fixed point results for mappings satisfying rational type almost contractions involving a control function in the framework of metric spaces. The main result is supported with an example. We use Hausdorff distance in our theorems. We also study the stability of fixed point sets of above mentioned set valued contractions. By applications of the multivalued results we obtain certain fixed point theorems of singlevalued mappings.