[PDF] Top 20 Coupled Fixed Point Theorem on Partially Ordered G-metric Space

... We say that is G-convergent to x ϵ X if lim n,m→+∞ G( , ) = 0, that is, for any ε > 0, there exists N ϵ N such that G( , ) < ε, for all n,m ≥ N. We call the limit of the sequence and write → or ... See full document

... a G-metric space in  (see also ...fixed point theory such as the Banach contrac- tion mapping principle [] from the point of view of ...in partially ordered ... See full document

... some coupled coincidence and coupled common fixed point theorems for nonlinear contractive mappings having the mixed monotone property in partially ordered G-metric ...fixed ... See full document

... another coupled common fixed ...w. Theorem . Let (X, ) be a partially ordered set and G be a G-metric on X such that (X, G) is a complete G-metric ... See full document

... a coupled fixed point was introduced and studied by Guo and Lakshmikantham [18] and Bhaskar and Lakshmikantham ...various coupled and common coupled fixed point theorems ... See full document

... a coupled fixed point and the mixed monotone ...some coupled fixed point theorems for mappings which satisfy the mixed monotone property and gave some applications in the ... See full document

... Abstract. In this paper, we study some unique coupled coincidence points for rational type contractions involving generalized altering distance functions in metric spaces. Our results unify and generalize ... See full document

... many fixed point theorems for contraction mappings in partially or- dered probabilistic metric ...on fixed point theory in partially ordered probabilistic ... See full document

... some coupled fixed point theorems for mapping having the mixed monotone property in partially ordered metric spaces, which are generalization of the main results of Bhaskar and ... See full document

... 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

... Theorem 2.1. 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. Let 𝐹 : 𝑋 × 𝑋 → 𝑋 be a mapping having the ... See full document

... the papers [–] simply follow from the well-known standard (ordered) metric results for mappings with one variable. The technique can be applied in both symmetric and asymmetric cases. Moreover, we will ... See full document

... The complicated contractive conditions of the aforementioned theorems can be simpli- fied considerably by means of the following notations. Let (X, ) be a partially ordered set endowed with a metric d ... See full document

... celebrated fixed point theorem and has been generalized in various ...directions. Fixed point problems for contrac- tive mappings in metric spaces with a partial order have been ... See full document

... a metric space with w-distance ...a point x, y ∈ X × X with respect to mapping g : X → X if for every ε > 0 there exists a δε > 0 such that pgu, gx pgv, gy < δ implies that pFx, y, ... See full document

... Corollary 3.3 [5] eses of Corollary 3.1, suppose that for 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. Let F : ... See full document

... Now let us consider two generalised metric spaces (X, D ) and (Y, ∆) and endow X with a partial order ” ”. Let C be the positive real appeared in the condition (iii) in the definition of D. Consider a ... See full document

... in partially ordered G-metric spaces. Some new coupled coincidence point and coupled common fixed point theorems are ...from partially ordered ... See full document

... a partially ordered set and suppose that there is an L-fuzzy metric M on X such that X, M, T is a complete ML-fuzzy metric space in which T is Hadˇzic’ ... See full document

... a partially ordered set and suppose that there is a G-metric on X such that (X , G) is a complete G−metric ...and g: X → X be two mappings such that F has the mixed ... See full document