OICC Press Mathematical Analysis and its Contemporary Applications 7 3 2025 08 28 A study of coincidence point theorems for multivalued mappings on extended m_b-metric spaces 10.30495/maca.2025.2060635.1137 EN Shilpa Patra Department of Mathematics, Narajole Raj College, Paschim Medinipur, West Bengal, India Journal Article 2025 08 28 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.