[PDF] Top 20 Nonlinear Contractive Conditions for Coupled Cone Fixed Point Theorems

... of fixed point in partially ordered sets has been studied and investigated recently in 1–13 and references ...various contractive conditions are important in metric fixed point ... See full document

... some coupled coincidence point theorems for mappings satisfying generalized contractive conditions under a new invariant set in ordered cone metric ...sufficient ... See full document

... Huang and Zhang defined the concept of a cone metric space in 1 as follows. Definition 1.1 see 1. Let X be a nonempty set and let E be a real Banach space equipped with the partial ordering ≤ with respect to the ... See full document

... of cone metric spaces, defining convergent and Cauchy sequence in terms of interior points of underlying ...the fixed point theorem in cone metric ...common fixed point ... See full document

... a coupled coincidence point and a coupled point of coincidence for nonlinear contractive mappings in partially ordered metric spaces equipped with ...Related coupled ... See full document

... fixed point theorems for contractive mappings in a class of generalized metric spaces in which the self-distance need not be ...fixed point theorems have been obtained for mappings ... See full document

... to coupled fixed point theory in the setting of multivalued map- pings were extended by Abbas et ...obtained coupled coincidence point and common coupled fixed ... See full document

... of coupled fixed point for single-valued mappings and established some coupled fixed point results and found its application in the existence and uniqueness of solution for ... See full document

... some coupled coincidence and coupled common fixed point theorems for nonlinear contractive mappings in partially ordered complete quasi-metric spaces with a Q-function ... See full document

... of cone metric spaces over Banach algebras was previously introduced by Liu and Xu in ...fixed point theorems of generalized Lipschitz mappings with weaker conditions on the generalized ... See full document

... complete cone -metric space and be a normal cone with normal constant ...following conditions: (B, B, C) ≼ ℎ (B, B, C) ...unique fixed point Q ∈ and we have ... See full document

... a coupled fixed point and established some coupled fixed point theorems in partially ordered metric ...proved coupled coincidence and coupled common ... See full document

... common fixed point theorems for two nonlinear contractive mappings in the N-cone metric space without the assumption of normal ... See full document

... In the sequel we assume only that E is a Banach space and that P is a cone in E with int P / ∅. The last assumption is necessary in order to obtain reasonable results connected with convergence and continuity. In ... See full document

... “Common fixed point theorems for weakly isotone increasing mappings in ordered partial metricspaces,” Mathematical and Computer ...“Fixed point results under various contractive ... 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

... studied fixed point theorems for mappings satisfying different contractive conditions (see [7- ...a coupled coincidence point of a mapping F from X × X into X and a ... See full document

... new coupled fixed point theorems for nonlinear contractive maps that satisfied a generalized Mizoguchi-Takahashi’s condition in the setting of ordered metric ...Presented ... See full document

... some coupled fixed point theorems and applied these to study the existence and uniqueness of solution for periodic boundary value ...proved coupled coincidence and common coupled ... See full document

... with cone K in the metric function, that is, d : X × X → ...on fixed point theorems were considered for K-metric ...of cone metric spaces CMS by replacing real numbers with an ordering ... See full document