Fixed Point Sets of Multivalued Contractions and Stability Analysis

Abstract

In this paper we derive a fixed point result for a multivalued generalized almost contraction which contains several rational terms through a six variables function and a four variables function. The space is assumed to satisfy some regularity conditions. In another part of the paper we establish stability results for fixed point sets of these contractions. The corresponding singlevalued case is also discussed. The results are obtained without any assumption of continuity. There are two illustrative examples.

Keywords

• hausdorff metric
• generalized almost contraction
• fixed point
• stability