Generalized fixed point results with multi-valued mappings

Abstract

In this article we deduce fixed point results for multi-valued contraction mappings. We primarily established two fixed results. One of them is the generalization of Nadler’s contraction and the other result is the generalization of Mizoguchi-Takahashi’s contraction. Some corollaries have been obtained from the main results and our results generalize some of the existing results. Illustrative examples are also constructed to support our main results.