[PDF] Top 20 13. Coupled coincidence point theorems for compatible mappings in partially ordered metric spaces

... Theorem 3.1. Let (X, ) be a partially ordered set and suppose there is a metric d on X such that (X, d) is a complete metric space. Suppose F : X × X → X and g : X → X be such that F has the ... See full document

... Later on, Lakshmikantham and Ciríc [8] proved coupled coincidence and coupled common fixed point theorems for nonlinear contractive mappings in partially ordered complete metric spaces..[r] ... See full document

... point theorems under φ-contractions for compatible and weakly compatible mappings on Menger probabilistic metric ...fixed point in locally convex topology generated by ... See full document

... developed coupled fixed point theory is to consider the mapping F : X × X → X without the mixed monotone ...some coupled fixed point theorems for nonlinear contractions without mixed ... See full document

... usual metric space, and generalized the Banach contraction principle in the context of complete b-metric ...b-metric spaces and their topological properties (see, ...some coupled ... See full document

... Definition 1.1 . Let (X, ≤ ) be a partially ordered set, F: X × X ® X and g: X ® X. We say F has the mixed g-monotone property if F is monotone g-non-decreasing in its first argument and is monotone ... See full document

... fixed theorems in partially ordered complete metric spaces have appeared as a generalization of existing (usual) fixed point ...(common) coupled fixed theorems are ... See full document

... some coupled coincidence point results. Coupled fixed theorems and coupled coincidence point theorems have appeared prominently in recent ...of coupled ... See full document

... fixed-point theorems including the coupled, tripled and quadruple fixed-point theorems as three special ...to coupled, tripled and quadruple fixed-point ...approximating ... See full document

... some coupled fixed point theorems for nonlinear contractive mappings in the framework of a metric space endowed with partial ...a coupled fixed point for such ... See full document

... some coupled fixed point theorems for a mixed monotone mapping in a partially ordered metric space which are generalizations of the results of Bhaskar and Lakshmikantham ...to ... See full document

... fixed point theory, has been in the center of long lasting fascination among the mathematicians interested in many branches of mathematics, especially in nonlinear analysis (see ...of partially ... See full document

... following coupled coincidence point ...an ordered metric space. Let F : X × X → X and g : X → X be mappings such that F has the mixed g-monotone property on X such that there ... See full document

... of coupled fixed points in cone metric spaces and established some coupled fixed point theorems in cone metric ...proved coupled coincidence and coupled ... See full document

... common coupled fixed point theo- rems under the conditions of weakly commutativity and w−compatibility on a complete metric space, which is not partially ...of coupled ... See full document

... fuzzy metric space with the help of an intuitionistic fuzzy set and call it an intuitionistic generalized fuzzy metric ...two mappings in this setup. Further, we establish coupled ... See full document

... in metric spaces endowed with a partial ...Reurings 13, Theorem ...nondecreasing mappings and applied it to obtain a unique solution for a first-order ordinary differential equation with ... See full document

... 12, 13, 17], a method was developed of reducing coupled fixed point results in (ordered) metric spaces to the respective results for mappings with one variable, even ... See full document

... -tupled coincidence as well as n -tupled fixed point in partially ordered complete metric spaces for a pair of weakly contractive compatible mappings whenever n is ... See full document

... In this paper, we introduce the notion of α - ψ -contractions and ( α )-admissibility for a pair of mappings. In fact, our theorem is a generalization of the result of Mursaleen et al. (Fixed Point Theory ... See full document