Coincidence and common fixed points of weakly reciprocally continuous and compatible hybrid mappings via an implicit relation and an application
- Authors: Chauhan, S; Imdad, M; Kadelburg, Z; Vetro, C
- Publication year: 2015
- Type: Articolo in rivista (Articolo in rivista)
- OA Link: http://hdl.handle.net/10447/133349
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.