[PDF] Top 20 Coupled fixed point of generalized contractive mappings on partially ordered G-metric spaces

... Throughout this article, (X, ≼ ) denotes a partially ordered set with the partial order ≼ . By x ≺ y, we mean x ≼ y but x ≠ y. If (X, ≼ ) is a partially ordered set. A mapping f: X ® X is said ... 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 partially ordered set and F : X × X → X and g : X → X be two ...mixed g -monotone property if F(x, y) is monotone g-non-decreasing in x and is monotone g-non-increasing in y, ... See full document

... of metric space was introduced by Fréchet [] in ...analysis, metric spaces play a major ...which metric spaces have been extensively used to solve major prob- ...that metric ... See full document

... fixed point theory is the Banach- Caccioppoli contraction [] mapping principle, a power tool in ...been generalized in different directions in different spaces by mathematicians over the years (see ... See full document

... and g have a coupled coincidence ...a partially ordered set, and let there exist a metric d on X such that (X, d) is a complete metric ...and g : X → X be maps, and let F ... 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

... Edelstein’s fixed point theorem ...different spaces, like complete metric spaces endowed with a partial order, b-metric space (metric type pace) and obtained many ... See full document

... the 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

... partial metric space in which the self distance of any point of space may not be ...[28] generalized the concept of partial metric space by admitting negative ...[34] generalized both ... 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

... a partially ordered set and suppose that there exists a metric d on X such that (X, d) is a complete metric ...a partially ordered set and suppose that there exists a ... See full document

... Tripled fixed point theorems for monotone mappings in partially ordered metric spaces, Carpathian ...monotone mappings in partially ordered ... See full document

... fixed point theory, initiated by Ran and Reurings [] and continued by Nieto and Rodriguez-López [, ], is to consider a partial order on the ambi- ent metric space (X, d) and to transfer a part of the ... 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 ... See full document

... coincidence point results in partially ordered metric spaces for functions which satisfy a certain inequality involving three control ...discontinuous. Fixed point theory ... 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 fixed ... See full document

... fixed point theorems for generalized contractions in complete partially ordered metric spaces and applications to ordinary differential ...fixed point theorems for mixed ... 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, ... See full document

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