10.30495/maca.2025.2060635.1137

A study of coincidence point theorems for multivalued mappings on extended m_b-metric spaces

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  • Shilpa Patra1,
  1. Department of Mathematics, Narajole Raj College, Paschim Medinipur, West Bengal, India

Published in Issue 2025-08-28

How to Cite

A study of coincidence point theorems for multivalued mappings on extended m_b-metric spaces. (2025). Mathematical Analysis and Its Contemporary Applications, 7(3). https://doi.org/10.30495/maca.2025.2060635.1137

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Abstract

In recent studies, the exploration of coincidence points represents a fresh development within the area of contractive-type single-valued and multival- ued theory. This paper establishes new coincidence point theorems pertaining to both single-valued and multivalued mappings within the context of extended mb-metric spaces. Employing methodologies derived from classical fixed point the- orems, such as Banach’s Contraction Principle and Kannan’s fixed point results, we elucidate the requisite conditions under which these mappings exhibit coinci- dence points. To underscore the practical implications of our principal theorem, we present an illustrative example that validates the results. These contributions advance the understanding of fixed point theory in extended mb-metric spaces and offer new avenues for further research in this area.

Keywords

  • Extended mb-metric space,
  • multivalued mapping,
  • Hθ-contraction,
  • coincidence points
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