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

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Abstract

Using the hybrid version of the notion of weakly reciprocal continuous 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.
Lingua originaleEnglish
pagine (da-a)73-84
Numero di pagine12
RivistaSARAJEVO JOURNAL OF MATHEMATICS
Volume11
Stato di pubblicazionePublished - 2015

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