[PDF] Top 20 Common Fixed Point Theorems for Weakly Compatible Mappings by (CLR) Property on Partial Metric Space

... The partial metric space (briefly P M S), which is published for the first time in 1992 by Mattews [16], is an extension of the usual metric space in which d(x, x) is no necessarily ... See full document

... the space with a more natural condition of closedness of the range as well as relaxes the complexness of the whole space, continuity of one or more mappings and containment of the range of one ... See full document

... the common (CLR) property, common fixed point results for two pairs of weakly compatible mappings satisfying contractive condition of integral type on metric ... See full document

... the property (E.A) property with the closeness of the subspace 6() always verify the CLRs ...fuzzy metric space (, , ∆) are said to satisfy common limit range property with ... See full document

... of metric spaces. One of such generalization is a probabilistic metric space, briefly, PM-spaces, introduced in 1942 by Menger ...This space was developed by Schweizer and Sklar [26, ...fuzzy ... See full document

... coupled fixed point for a given partially ordered set X ...of common limit in the range property (called CLR) which relaxes the requirement of ... See full document

... (E.A.) property for self mappings which contained the class of non-compatible mappings in metric ...range” property (or, (CLR) ...(E.A.) property to common ... See full document

... some theorems of common fixed point for two pairs of non-self weakly compatible mappings using CLR (common limit range) property satisfying a ... See full document

... S.Kumar, Common fixed point theorems for weakly compatible maps satisfying common ...(E.A) property in intuitionistic fuzzy metric spaces using implicit ... See full document

... turning point in the development of fuzzy mathematics when the notion of fuzzy set was introduced by ...[13] common fixed point theorem in the setting of intuitionistic fuzzy metric ... See full document

... some common fixed point theorems for a quadruple of weak compatible self mappings on a metric space satisfying a common ...(E.A) property and a ... See full document

... The famous Banach contraction principle states that if , is a complete metric space and : → a contraction mapping i.e., , , for all , ∈ , where is a nonnegative number such that 1, then has a unique ... See full document

... KEY WORDS: Common Fixed Point, Compact Metric Space, Weakly Compatible Mappings, Set Valued.. Mapping.[r] ... See full document

... compact metric space, I, J selfmaps of X, F, G : X → BX set-valued functions with ∪ FX ⊆ J X and ∪ GX ⊆ ...are weakly compatible and the functions F, I are ... See full document

... a common fixed point theorem for commutative mappings, generalizing the famous Banach contraction ...of weakly commutative ...of compatible mapping in order to generalize the ... See full document

... fuzzy metric space ([7] ...fuzzy metric space and Park ...this space. Also, Park and Kim [11] proved common fixed point theorem for self maps in intuitionistic ... See full document

... (E.A) property for self mappings which contained the class of non-compatible mappings in metric ...(E.A) property allows replacing the completeness requirement of the ... See full document

... etc. Fixed point theorems, involving four self-maps, began with the assumption that they are ...pairwise compatible [4] and then pairwise weakly compatible maps ...occasionally ... See full document

... The fixed point theory has several applications in many fields of science and engineering ...complete Metric space, which states that, “A contraction mapping has a unique fixed ... See full document

... a common fixed point theorem for weakly compatible mappings under φ -contractive conditions in fuzzy metric ...(Fixed Point Theory ... See full document