Coincidence and common fixed points of weakly reciprocally continuous and compatible hybrid mappings via an implicit relation and an application

Using the hybrid version of the notion of weakly reciprocally continuous pairs of mappings due to Gairola et al. [Coincidence and fixed point for weakly reciprocally continuous single-valued and multi-valued maps, Demonstratio Math. (2013/2014), accepted], we prove a coincidence and common fixed poi...

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Published inSarajevo journal of mathematics Vol. 11; no. 1; pp. 73 - 84
Main Authors Chauhan, Sunny, Imdad, Mohammad, Kadelburg, Zoran, Vetro, Calogero
Format Journal Article
LanguageEnglish
Published 16.05.2025
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Summary:Using the hybrid version of the notion of weakly reciprocally continuous pairs of mappings due to Gairola et al. [Coincidence and fixed point for weakly reciprocally continuous single-valued and multi-valued maps, Demonstratio Math. (2013/2014), accepted], we prove a coincidence and common fixed point theorem for a hybrid pair of compatible mappings via an implicit relation. Our main result improves and generalizes a host of previously known theorems. As an application, we give a homotopy theorem which supports our main result.
ISSN:1840-0655
2233-1964
DOI:10.5644/SJM.11.1.06