Interpolative contractive results for multivalued mappings over m-metric spaces with an application in homotopy

Ali Raza

Abstract


In this manuscript, we prove some new fixed point results for multivaluedKannan type interpolative contractive mappings over m-metric spaces.
Our results cover all the possible cases of intepolative exponents:
when their sum is equal to 1, less than 1 and greater than 1. We giveexamples to support our results.
All the corresponding results in ordinary metric spaces are special cases of our new results for m-metric spaces.We also provide an application of homotopy to support our main result. 

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