Search results for " weak contraction."

showing 6 items of 6 documents

Common Fixed points for multivalued generalized contractions on partial metric spaces

2013

We establish some common fixed point results for multivalued mappings satisfying generalized contractive conditions on a complete partial metric space. The presented theorems extend some known results to partial metric spaces. We motivate our results by some given examples and an application for finding the solution of a functional equation arising in dynamic programming.

Discrete mathematicsAlgebra and Number TheoryApplied MathematicsInjective metric spaceFubini–Study metricIntrinsic metricConvex metric spaceComputational MathematicsMetric spaceSettore MAT/05 - Analisi MatematicaMetric (mathematics)Geometry and TopologyCommon fixed point partial metric space partial Hausdorff metric weak contraction.Metric differentialAnalysisFisher information metricMathematics
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Common fixed point theorems for (ϕ, ψ)-weak contractions in fuzzy metric spaces

2010

Motivated by Rhoades (Nonlinear Anal., 47 (2001), 2683--2693), on the lines of Khan et al. (Bull. Aust. Math. Soc., 30 (1984), 1-9) employing the idea of altering distances, we extend the notion of (ϕ, ψ)-weak contraction to fuzzy metric spaces and utilize the same to prove common fixed point theorems for four mappings in fuzzy metric spaces.

Fuzzy metric spaceSettore MAT/05 - Analisi MatematicaGeneralized weak contractionWeakly compatible maps.Common fixed point
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Fixed point results for weak contractive mappings in ordered K-metric spaces

2012

In this paper, we derive new coincidence and common fixed point theorems for self-maps satisfying a weak contractive condition in an ordered K-metric space. As application, the obtained results are used to prove an existence theorem of solutions of a nonlinear integral equation.

Settore MAT/05 - Analisi MatematicaFixed point partially ordered set cone metric space weak contraction integral equation
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(φ, ψ)-weak contractions in intuitionistic fuzzy metric spaces

2014

The purpose of this paper is to extend the notion of (phi,psi)-weak contraction to intuitionistic fuzzy metric spaces, by using an altering distance function. We obtain common fixed point results in intuitionistic fuzzy metric spaces, which generalize several known results from the literature.

Statistics and ProbabilityDiscrete mathematicsMathematics::General MathematicsInjective metric spaceGeneral EngineeringT-normEquivalence of metricsConvex metric spaceIntrinsic metricMetric spaceCommon fixed point fuzzy metric space generalized weak contraction intuitionistic fuzzy metric spaceSettore MAT/05 - Analisi MatematicaArtificial IntelligenceMetric (mathematics)Metric mapMathematicsJournal of Intelligent & Fuzzy Systems
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Common fixed points in ordered Banach spaces

2008

In this paper we introduce the notion of g-weak isotone mappings in an ordered Banach space and we extend some common fixed point theorems of Dhage, O’Regan and Agarwal

ordered Banach spaces weak contractions common fixed pointsSettore MAT/05 - Analisi Matematica
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Three existence theorems for weak contractions of Matkowski type

2010

We prove three generalizations of Matkowski’s fixed point theorems for weakly contractions.

fixed point best proximity point cyclic weak contraction property UC.Settore MAT/05 - Analisi Matematica
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