[PDF] Top 20 Largest and least fixed point theorems of increasing mappings in partially ordered metric spaces

... in partially ordered metric spaces has been consid- ered by many authors, and many satisfactory results have been obtained for Caristi-type mappings [–], mappings satisfying ... See full document

... 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 ... See full document

... In this section, inspired by Wang’s paper [], we suggest a new theorem in the context of partially ordered metric spaces. We also underline that one can easily state the same theorem in the ... See full document

... fixed point theorem for map- pings with mixed monotone ...fixed point for various contractive type mappings was studied by several authors ...fixed point theorem for non-linear mapping in ... See full document

... partial metric space in which the self distance of any point of space may not be ...partial metric space by admitting negative ...partial metric space by introducing the notation of partial ... 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

... tripled fixed point for single valued mappings in partially ordered metric ...tripled fixed point of single-valued mappings in partially ... See full document

... quasi-contraction mappings in metric and modular metric spaces endowed with a ...fixed point theorems for monotone contraction mappings in partially ordered ... See full document

... in partially ordered sets has been con- sidered in [, ], where some applications to matrix equations are ...in partially ordered sets and applied to study ordinary differential ... See full document

... fixed point for contraction type mappings in partially ordered met- ric spaces has been considered by Ran and Reurings [], Bhaskar and Lakshmikantham [], Nieto and Rodriquez-Lopez [, ... See full document

... common fixed point results) in two ...lar mappings in an orbitally complete ordered metric space is ...common fixed point is obtained under assumptions that these ... 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, Fu, v < ε for ... See full document

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

... coupled fixed point, and proved some coupled fixed point theorems for single valued mixed monotone ...coupled fixed point theorems in partially ... See full document

... fixed point theorems for nonlinear contractive mappings having the mixed monotone property in partially ordered G-metric ...fixed point theorems are generalizations ... See full document

... above theorems, we first define the concept of proximal mixed g-monotone property and proximally tripled weak (ψ , φ ) contraction on ...of partially ordered metric ... See full document

... Definition 12. (See [16]) Let (X, ≤) be a partially ordered set and F : X ×X → X and g : X → X be mappings. Then F is said to have the mixed strict g-monotone property if F (x, y) is monotone ... See full document

... Fixed point theorems of multi-valued mappings play extremely important roles in eco- nomics and engineering [, ], especially in game theory [, ...contraction mappings was given by ... See full document

... fixed point theorems for a k-variable isotone mapping, which include the unidimensional, coupled, tripled, and k-dimensional fixed point theorems as particular ... See full document

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