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Coupled coincidence point results for (φ,ψ)-contractive mappings in partially ordered metric spaces
Pasquale VetroMuhammad ArshadJamshaid Ahmadsubject
coupled fixed pointMetric spacePure mathematicsSettore MAT/05 - Analisi MatematicaGeneral Mathematicsmixed g-monotone propertyCoupled coincidence pointpartially ordered metric spaceCoincidence pointMathematicsdescription
Abstract. In this paper, we extend the coupled coincidence point theorems for a mixed g-monotone operator F : X × X → X $F:X\times X\rightarrow X$ obtained by Alotaibi and Alsulami [Fixed Point Theory Appl. (2011), article ID 44], by weakening the involved contractive condition. Two examples are given to illustrate the effectiveness of our generalizations. Our result also generalizes some recent results announced in the literature. Moreover, some applications to integral equations are presented.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-04-29 | Georgian Mathematical Journal |