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arXiv · 2608.13286

Fixed Point Theorems for Hardy--Rogers Type Multivalued Mappings in b-Metric Spaces

Hezekiah Seun Adewinbi·Oluwatosin Temitope Mewomo
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Abstract

This paper establishes new existence and uniqueness theorems for p-Hardy-Rogers type multivalued mappings in complete b-metric spaces. Our approach replaces the traditional constant coefficients in the contractive condition with distance-dependent control functions and incorporates a p-order iteration scheme, thereby providing a more general and flexible structure that encompasses a wider class of multivalued operators. Our findings significantly improve and generalize the Hardy-Rogers type fixed point theorems obtained by Chaib et al.(2026) by relaxing the required assumptions, incorporating the h-upper semicontinuity into the hypotheses and considering the p-th iterate of the mapping. Several examples are provided to demonstrate the applicability of our results.

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Hezekiah Seun Adewinbi, Oluwatosin Temitope Mewomo. 2026-08-13. Fixed Point Theorems for Hardy--Rogers Type Multivalued Mappings in b-Metric Spaces. https://arxiv.org/abs/2608.13286

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