6533b861fe1ef96bd12c4fff

RESEARCH PRODUCT

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

Calogero VetroZ. KadelburgSunny ChauhanMohammad Imdad

subject

implicit relation.Pure mathematicsRelation (database)Mathematical analysisGeneral Medicinecommon fixed pointFixed pointhybrid pair of mappingnon-compatible mappingCoincidencecompatible mappingweak reciprocal continuitycoincidence pointSettore MAT/05 - Analisi MatematicaCoincidence pointMathematics

description

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.

yearjournalcountryeditionlanguage
2015-01-01
10.5644/sjm.11.1.06http://hdl.handle.net/10447/133349