Abstract

The main outcome of this paper is to introduce the notion of Hausdorff b-multiplicative metric space and to present some fixed point results for multivalued mappings in this space. Moreover, we obtain some fixed point results satisfying rational type contractive condition on closed ball for multivalued mappings in b-metric space.The proven results are original in nature.

Highlights

  • Bourbaki and Bakhtin [6], were the first ones who gave the idea of b-metric

  • The main outcome of this paper is to introduce the notion of Hausdorff b-multiplicative metric space and to present some fixed point results for multivalued mappings in this space

  • We obtain some fixed point results satisfying rational type contractive condition on closed ball for multivalued mappings in b-metric space.The proven results are original in nature

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Summary

Introduction

Bourbaki and Bakhtin [6], were the first ones who gave the idea of b-metric. After that, Czerwik [7] gave an axiom and formally defined a b-metric space. Abbas et al [1] proved some common fixed points results of quasi weak commutative mappings on a closed ball in the setting of multiplicative metric spaces.

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