GENERALIZED FIXED POINT RESULTS WITH MULTI-VALUED MAPPINGS

GENERALIZED FIXED POINT RESULTS WITH MULTI-VALUED MAPPINGS

P. Konar, A. K. Jana, R. B. Das, S. K. Bhandari, R. R. Devi

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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.

Keywords

Fixed point, Hausdorff metric space, Multivalued mapping, Common fixed point.