[PDF] Top 20 Common fixed point theorems for compatible self-maps of Hausdorff topological spaces

... Proof. Since g is compact there exists a compact set Y ⊂ X such that g(X) ⊂ Y . Then g (Y ) ⊂ g (X) ⊂ Y , and therefore Y is g invariant and compact. Since g has proper orbits, the restriction of g to Y satisfies the ... See full document

... called common limit in the range of g, which originally was introduced by Sintunaravat and Kumam in [] in the context of fuzzy metric spaces and, later, was particularized to G-metric spaces by ... See full document

... fixed point theorems in the context of a G-metric space can be concluded by some existing results in the setting of a (quasi-)metric ...fixed point theorem on a G-metric space can be reduced to two ... See full document

... metric spaces (PM- spaces) which is an important step in the development of fixed point ...[46], compatible [33], weakly com- patible maps [45] in probabilistic metric ... See full document

... metric spaces were introduced by Azam et.al.[1] in which they obtained fixed point theorems for mappings satisfying various contractive ...these spaces including those for rational ... See full document

... of self mappings of a fuzzy metric space X, M, ∗ such that A, S satisfies the property ...a point of coincidence, whereas the pair A, S has a unique common fixed point provided that it ... See full document

... of compatible maps and compatible maps of type (A) in non-Archimedean Menger probabilistic metric spaces and gave some fixed point theorems for these ...of ... See full document

... The fixed point theory has been studied and generalized in different ...in topological structure are basic tools to develop mathematical models compatible to concrete real life ...metric ... See full document

... X., “Common Fixed Point Theorems of Compatible and Weakly Compatible Maps in Menger Spaces.” Non Linear Analysis Theory, Methods & Applications Vol.71, (2009), 1833-1843.. Jungck, G[r] ... See full document

... convex spaces, applying Caristi’s results we prove some fixed point results for non-self multivalued maps and common fixed point theorems for Caristi type ... See full document

... coupled common fixed point of F and g if F (x, y) = gx = x and F (y, x) = gy = ...two self-maps defined on a set, then f and g are said to be weakly compatible if they commute at ... See full document

... different spaces by mathematicians over the ...b-metric spaces. In the sequel, several papers have been published on the fixed point theory in b- metric spaces (see, ...various ... See full document

... metrical common fixed point theorem generally involves conditions on commutativity, continuity, completeness and suitable containment of ranges of the involved maps besides an appropriate ... See full document

... commuting maps and remains the minimal condition of commutativity for the existence of common fixed point for a long ...commuting maps and relationship between them one may refer to ... See full document

... Fixed point theorems are given for non-self maps and pairs of non-self maps defined on d-complete topological spaces... KEY WORDS AND PHRASES.[r] ... See full document

... commuting maps in metric ...to compatible maps. The notion of compatible mapsin Menger spaces has been introduced by Mishra ...of compatible maps and proved common ... See full document

... a fixed point of ...the self map f of X has a fixed point is generally called a fixed point ...Certain fixed point theorems were proved for ... See full document

... some fixed point theorems for f -contractive mappings in compact met- ric ...established fixed point theorems for semigroups of self- mappings in compact Hausdor ff ... See full document

... metric spaces as a generaliza- tion of metric ...metric spaces, introduced their completeness and proved some fixed point theorems for con- tractive mappings on cone metric ...proved ... See full document

... The notion of cone metric space was introduced by Huang and Zhang in []. They replaced the set of real numbers by an ordered Banach space and defined a cone metric space. They extended Banach fixed point ... See full document