6533b81ffe1ef96bd12787e0

RESEARCH PRODUCT

JH-Operators and Occasionally Weakly g-Biased Pairs in Fuzzy Symmetric Spaces

Maria Lucia Lo CiceroRamesh Kumar VatsVizender SihagCalogero Vetro

subject

Discrete mathematicsJH-operatorPure mathematicsFuzzy metric spacelcsh:QA299.6-433lcsh:AnalysisJH-operatorsOccasionally weakly g-biased pairs.Fuzzy logicCoincidenceFuzzy metric spaceSet (abstract data type)Occasionally weakly g-biased pairs"/>Settore MAT/05 - Analisi MatematicaProduct (mathematics)Common fixed pointSymmetry (geometry)Fuzzy symmetric spaceComplement (set theory)Mathematics

description

We introduce the notions of $\mathcal{JH}$-operators and occasionally weakly $g$-biased mappings in fuzzy symmetric spaces to prove common fixed point theorems for self-mappings satisfying a generalized mixed contractive condition. We also prove analogous results for two pairs of $\mathcal{JH}$-operators by assuming symmetry only on the set of points of coincidence. These results unify, extend and complement many results existing in the recent literature. We give also an application of our results to product spaces.

yearjournalcountryeditionlanguage
2013-04-01Journal of Nonlinear Analysis and Application
https://doi.org/10.5899/2013/jnaa-00124