Search results for " reciprocal continuity."

showing 2 items of 2 documents

AN ADDENDUM TO: A COMMON FIXED POINT THEOREM IN INTUITIONISTIC FUZZY METRIC SPACE USING SUBCOMPATIBLE MAPS"

2012

The aim of this note is to point out a fallacy in the proof of Theorem 3.1 contained in the recent paper ( Int. J. Contemp. Math. Sci. 5 (2010), 2699-2707) proved in intuitionistic fuzzy metric spaces employing the newly introduced notion of sub-compatible pair of mappings wherein our claim is also substantiated with the aid of an appropriate example. We also rectify the erratic theorem in two ways.

Settore MAT/05 - Analisi MatematicaIntuitionistic fuzzy metric space Compatible maps subcompatible maps subsequential continuity reciprocal continuity.
researchProduct

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

2015

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.

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
researchProduct