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Coupled fixed point results in cone metric spaces for -compatible mappings
Samet BessemVetro CalogeroAydi Hassensubject
b-common coupled fixed pointT57-57.97QA299.6-433<inline-formula> <graphic file="1687-1812-2011-27-i1.gif"/> </inline-formula>-compatible mappingsApplied mathematics. Quantitative methodsb-coupled coincidence pointcone metric space; integral equationAnalysis![<inline-formula> <graphic file="1687-1812-2011-27-i1.gif"/> </inline-formula>-compatible mappings](/subject:<inline-formula> <graphic file="1687-1812-2011-27-i1.gif"/> </inline-formula>-compatible mappings){kind=link}
description
Abstract In this paper, we introduce the concepts of -compatible mappings, b-coupled coincidence point and b-common coupled fixed point for mappings F, G : X × X → X, where (X, d) is a cone metric space. We establish b-coupled coincidence and b-common coupled fixed point theorems in such spaces. The presented theorems generalize and extend several well-known comparable results in the literature, in particular the recent results of Abbas et al. [Appl. Math. Comput. 217, 195-202 (2010)]. Some examples are given to illustrate our obtained results. An application to the study of existence of solutions for a system of non-linear integral equations is also considered. 2010 Mathematics Subject Classifications: 54H25; 47H10.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-01-01 | Fixed Point Theory and Applications |