0000000000053373

AUTHOR

Erdal Karapınar

showing 5 related works from this author

On Ekeland's variational principle in partial metric spaces

2015

In this paper, lower semi-continuous functions are used to extend Ekeland's variational principle to the class of parti al metric spaces. As consequences of our results, we obtain some fixed p oint theorems of Caristi and Clarke types.

Numerical AnalysisPure mathematicsClass (set theory)Applied MathematicsMathematical analysisFixed-point theoremEkeland's variational principleComputer Science ApplicationsMetric spaceComputational Theory and MathematicsVariational principleSettore MAT/05 - Analisi MatematicaEkeland's principle fixed point theory lower-semi continuity partial metric space.AnalysisMathematics
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Optimization Problems via Best Proximity Point Analysis

2014

1 Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia 2Department of Mathematics, Atilim University, Incek, 06836 Ankara, Turkey 3 Department of Mathematics, Babes-Bolyai University, Kogalniceanu Street No. 1, 400084 Cluj-Napoca, Romania 4Universita Degli Studi di Palermo, Dipartimento di Matematica e Informatica, Via Archirafi 34, 90123 Palermo, Italy

Optimization problemArticle SubjectApplied Mathematicslcsh:MathematicsProximity problemsMathematics educationPoint (geometry)lcsh:QA1-939AnalysisMathematicsAbstract and Applied Analysis
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Meir-Keeler Type Contractions for Tripled Fixed Points

2012

Abstract In 2011, Berinde and Borcut [6] introduced the notion of tripled fixed point in partially ordered metric spaces. In our paper, we give some new tripled fixed point theorems by using a generalization of Meir-Keeler contraction.

Discrete mathematicsMetric spaceSettore MAT/05 - Analisi MatematicaGeneralizationGeneral MathematicsMathematics::General TopologyGeneral Physics and AstronomyFixed-point theoremTripled fixed point theorems Meir-Keeler type contractions partially ordered sets.Type (model theory)Fixed pointPartially ordered setMathematicsActa Mathematica Scientia
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Fixed points of weakly compatible mappings satisfying generalized $\varphi$-weak contractions

2014

In this paper, utilizing the notion of the common limit range property, we prove some new integral type common fixed point theorems for weakly compatible mappings satisfying a \(\varphi \)-weak contractive condition in metric spaces. Moreover, we extend our results to four finite families of self mappings, and furnish an illustrative example and an application to support our main theorem. Our results improve, extend, and generalize well-known results on the topic in the literature.

Discrete mathematicsWeakly compatibleProperty (philosophy)(CLR_{ST}) property(CLR_S) propertyGeneral Mathematicsmetric spaceFixed pointType (model theory)weakly compatible mappingRange (mathematics)Metric spacefixed pointSettore MAT/05 - Analisi MatematicaCommon fixed pointLimit (mathematics)Mathematics
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Fixed point results for Gm-Meir-Keeler contractive and G-(α,ψ)-Meir-Keeler contractive mappings

Applied MathematicsMathematics::General TopologyGeometry and TopologyFixed Point Theory and Applications
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