[PDF] Top 20 Coupled coincidence point theorems for generalized nonlinear contraction in partially ordered metric spaces

... Throughout the rest of this paper, we denote by N the set of positive integers, and by (X, ≤, d) a complete partially ordered metric space, i.e., ≤ is a partial order on the set X, and d is a ... 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 Appl. ... 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 ... See full document

... usual metric spaces and it is introduced by Dhage [13] and ...D-metric spaces are ...the generalized metric space structure which they called G-metric ...G-metric ... See full document

... “Fixed point theorems for weakly contractive mappings in partially ordered sets,” Nonlinear ...“Fixed point theorems on ordered metric spaces and ... See full document

... Fixed point theory is one of the famous and traditional theories in mathematics and has a large number of ...Banach contraction mapping is one of the pivotal results of ...Banach contraction ... See full document

... fixed point theory is devoted to the study of coupled fixed points, introduced by Guo and Lakshmikantham [] in ...a partially ordered metric space, and they established some ... 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

... intuitionistic generalized fuzzy metric space by using the idea of intuitionistic fuzzy set due to ...some coupled coincidence point results for compatibility of two mappings, that is, ... 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

... probabilistic metric space, and a large number of authors have done considerable work in such field (see, ...fixed point theory to generalized structures as partially ordered proba- ... See full document

... complete partially ordered metric spaces have been ...of coupled fixed point ...give coupled coincidence point ... See full document

... Proof. Follows from Theorem 2.1 by taking ψ (t) = 0 t λ (s)ds and φ (t) = 0 t μ (s)ds. □ Theorem 3.2 . Let (X, ≼ ) be a partially ordered set and suppose that there exists a metric d on X. Let T, f : ... See full document

... [] generalized the notion of coupled fixed points to fixed points of N-order and proved existence results for single maps in complete metric ...in partially ordered complete ... See full document

... Vetro, Coupled fixed point theorems for multi - valued nonlinear contraction mappings in partially ordered metric spaces, Nonlinear Analysis, 74 2011, 4260 - 4268.. Postolache, Coupled c[r] ... See full document

... unique coupled point of coincidence of F and ...unique coupled common fixed ...another coupled coincidence point of F and ... 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 periodic boundary ... See full document

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

... study coupled coincidence and coupled common fixed point theorems in ordered generalized metric spaces for nonlinear contraction condition ... See full document

... of generalized metric space called G-metric space, where to every triplet of elements a non-negative real number is assigned ...Fixed point theory in such spaces was studied in [27, 29, ... See full document