[PDF] Top 20 Fixed Point Theorems for Monotone Mappings on Partial Metric Spaces

... of fixed points in partially ordered sets has been considered recently in 9, and some generalizations of the result of 9 are given in 10– 15 in a partial ordered metric ...on partial ordered ... See full document

... of partial metric space was introduced by Matthews [7] as a part of the study of denotational semantics of dataflow ...various fixed point theorems and obtained a lot of perfect ...some ... See full document

... a partial metric and extended the Banach contraction principle in the context of partial metric ...Nadler’s fixed point theorem to partial metric spaces and ... See full document

... fixed theorems in various abstract spaces have appeared as a generalization of existing (usual) fixed point ...fixed theorems are either weaker or equivalent to existing fixed point results ... See full document

... It should be noted that a partial metric p defines metric δ in the following way: δ(x, y) =  iff x = y, and δ(x, y) = p(x, y) for x = y. The topology of (X, δ) is clearly larger than the topol- ogy of ... See full document

... Remark . Since T in Example . is not a quasi-nonexpansive mapping, T is not non- spreading, TY , hybrid, λ-hybrid, (α, β )-generalized hybrid, and α-nonexpansive. This ex- ample shows that an (a, b)-monotone ... See full document

... and g have a unique common coupled fixed point of the form (u, u). Corollary . Let (X, q) be a quasi-partial metric space, g : X → X and F : X × X → X be two mappings. Suppose that there ... 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

... Fixed point theory has fascinated many mathematicians since  with the celebrated Ba- nach’s fixed point ...theorem. Fixed point theory plays a major role within as well as outside ... See full document

... the fixed point theorems for generalized α-ψ-contractive mappings in the context of partial metric ...obtain fixed point theorems on partial ... See full document

... fixed point problems for isotone mappings are easier than that of mixed monotone ...fixed point theorems for a k-variable isotone mapping, which include the unidimensional, coupled, ... 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

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

... g-monotone mappings in partially ordered metric ...common fixed point theorems, which generalize and complement some known ... See full document

... mixed monotone mappings with auxiliary functions in the framework of metric space endowed with a partial ...fixed point theorems in the underlying ...other theorems from ... See full document

... Fixed point theory is one of the famous and traditional theories in mathematics and has a large number of ...main theorems to obtain a unique solution for a first-order ordinary differential equation ... See full document

... HADZIC, 01ga Common fixed point theorems for family of mappings in complete metric spaces.[r] ... 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 ...ordered metric ... See full document

... In this section, we will recall some concepts of generalized and extended Nash equilibria of non-monetized, non-cooperative game which are defined in [, ] and we point out that our main result can be applied to ... See full document

... Common fixed point theorems on expansion type mappings on complete metric spaces, Math____:.. Some fixed point theorems on expansion mappings, Math.[r] ... See full document