0000000000454920

AUTHOR

Vizender Sihag

showing 3 related works from this author

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

2013

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.

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)MathematicsJournal of Nonlinear Analysis and Application
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"Fixed Point Theorems for '?, ?'Contractive maps in Weak nonArchimedean Fuzzy Metric Spaces and Application"

2011

The present study introduce the notion of (ψ, ϕ)-Contractive maps in weak non-Archimedean fuzzy metric spaces to derive a common fixed point theorem which complements and extends the main theorems of [C.Vetro, Fixed points in weak non-Archimedean fuzzy metric spaces, Fuzzy Sets and System, 162 (2011), 84-90] and [D.Mihet, Fuzzy ψ-contractive mappings in non-Archimedean fuzzy metric spaces, Fuzzy Sets and System, 159 (2008) 739-744]. We support our result by establishing an application to product spaces.

Pure mathematicsMathematics::General MathematicsComputer scienceInjective metric spaceFuzzy setFixed-point theoremNon-Archimedean fuzzy metric spaceProduct metricT-normFuzzy subalgebraFixed pointCommon fixed pointFuzzy logic(ψ ϕ)-contractive mapsConvex metric spaceSettore MAT/05 - Analisi MatematicaFuzzy mathematicsFuzzy numberMetric mapInternational Journal of Computer Applications
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A fixed point theorem inG-metric spaces viaα-series

2014

In the context of G -metric spaces we prove a common fixed point theorem for a sequence of self mappings using a new concept of α-series. Keywords: α-series, common fixed point, G -metric space Quaestiones Mathematicae 37(2014), 429-434

Discrete mathematicsLeast fixed pointMetric spaceMathematics (miscellaneous)Fréchet spaceFixed-point theoremFixed-point propertyBrouwer fixed-point theoremKakutani fixed-point theoremCoincidence pointMathematicsQuaestiones Mathematicae
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