Search results for "Subsequential 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.
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Some Integral Type Fixed-Point Theorems and an Application to Systems of Functional Equations

2013

In this paper, we prove a new common fixed point theorem for four self mappings by using the notions of compatibility and subsequential continuity (alternate subcompatibility and reciprocal continuity) in metric spaces satisfying a general contractive condition of integral type. We give some examples to support the useability of our main result. Also, we obtain some fixed point theorems of Gregus type for four mappings satisfying a strict general contractive condition of integral type in metric spaces. We conclude the paper with an application of our main result to solvability of systems of functional equations.

Discrete mathematicsSubsequential limitSubcompatible mappingPure mathematicsCompatible mappingGeneral MathematicsReciprocal continuityFixed-point theoremFixed pointFixed pointMetric spaceSettore MAT/05 - Analisi MatematicaSubsequential continuityMetric spaceCoincidence pointCommon fixed point theoremReciprocalMathematicsVietnam Journal of Mathematics
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