[PDF] Top 20 A coupled coincidence point theorem in partially ordered metric spaces with an implicit relation

... fixed point theory is one of the crucial and very efficient tools in nonlinear functional ...fixed point theory are most apparent in fields like economy, computer sciences and engineering including many branches ... See full document

... a coupled coincidence point theorem for a pair {F, H} of mappings F, H : X × X → X with ϕ -contraction mappings in partially ordered metric spaces without ... See full document

... fixed point theorem for two weakly increasing operators in partially ordered metric spaces using implicit relation ...existence theorem for common solution ... See full document

... The aim of this paper is to extend and complement the main results in [13] by replacing the contraction assumption (1.1) by a more general condition (see (A1) in Theorem 1). As one will see, our main results are ... See full document

... Theorem . In addition to the hypothesis of Theorem ., suppose that for all (x, y), (x ∗ , y ∗ ) ∈ (X × X), there exists (u, v) ∈ X × X such that (F(x, y), F(u, v)) is comparable with (F(x, y), F(y, x)) ... See full document

... Throughout the rest of the paper, we shall use the notation gx instead of g(x), where g : X → X and x ∈ X, for brevity. In [], Nashine proved the following theorems. Theorem  Let (X, G, ) be a partially ... See full document

... 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 ... See full document

... a coupled coincidence point and a coupled common fixed point of mappings satisfying almost generalized (ψ , φ, θ )- contractive condition in the setup of partially ordered ... See full document

... fixed point theorem for Banach’s contraction mappings in partially ordered metric ...fixed point theorems for weakly contractive mappings in complete metric spaces ... See full document

... or ordered, in the framework of partially ordered complete metric ...of coupled (tripled or quadruple) coincidence point, the authors constructed two (three or four) ... See full document

... times, coupled fixed point and coupled coincidence point theory has been developed in partially ordered G-metric ...studied coupled fixed point ...a ... See full document

... above theorem, by taking φ(t) = t, we have: Corollary ...a partially ordered set and suppose there is a partial metric p on X such that (X, d) is a complete partial metric ... See full document

... A partial order is a binary relation ≼ over a set X which is reflexive, antisymmetric, and transitive. Now, let us recall the definition of the monotonic function f : X ® X in the partially order set (X, ≼ ... See full document

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

... a coupled coincidence ...sequences. Theorem . Let (X, ≤ ) be a partially ordered set, and let there exist a metric d on X such that (X, d) is a complete metric ... See full document

... fuzzy metric space which is based on the idea of intuitionistic fuzzy set and the notion of fuzzy metric space given by George and Veeramani ...normed spaces, the theory of stability of functional ... See full document

... of coupled fixed point of a mapping F : X ×X → X and investigated some coupled fixed point theorems in partially ordered ...cone metric spaces. They investigated ... See full document

... main theorem of Lakshmikantham and Ćirić [] and other assumptions are ...this theorem. Of course in our theorem we have required the monotonicity of g, but this condition ensures the uniqueness of ... 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