[PDF] Top 20 Coupled Fixed Point Theorem for Weakly Compatible Mappings in Intuitionistic Fuzzy Metric Spaces

... of fuzzy sets, Atanassove [1] introduced and studied the concept of intuitionistic fuzzy metric ...sets. Intuitionistic fuzzy sets deal with both degree of nearness and ...of ... See full document

... of fuzzy sets was introduced by Zadeh in 1965 which laid the foundations of fuzzy set theory and fuzzy ...of fuzzy sets by treating membership as a fuzzy logical value rather than a ... 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

... of fuzzy sets and ...a fuzzy metric space and defined a Hausdorff topology on this fuzzy metric space, which have very important applications in quantum particle physics, particularly, in ... See full document

... “Coupled Fixed Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces,” Nonlinear Analysis: Theory, Methods and Applications, ... See full document

... probabilistic metric spaces [5, 7]; fuzzy metric spaces [12, 15]; Intuitionistic fuzzy metric spaces [11, ...common fixed theorem for ... See full document

... monotone mappings and gave some coupled fixed point theorems which can be used to discuss the existence and uniqueness of solution for a periodic boundary value ...a coupled ... See full document

... the fixed-point theorem is a formula that counts the fixed points of a continuous mapping from a compact topological space X to itself by means of traces of the induced mappings on the ... See full document

... - fuzzy metric space, and let F : X× X × X →X and g : X → X be two ...be weakly compatible (W-compatible) if they commute at their coupled coincidence points, ...coincidence ... See full document

... of fuzzy sets is introduced by Zadeh ...of Fuzzy sets, Fuzzy metric ...of fuzzy metric spaces using continuous t ...some point theorems “intuitionistic ... See full document

... is weakly compatible, we get 7% = ...common fixed point of 7 and 8. Hence % is a common fixed point of 5, 7, 6 and ...common fixed point in if we assume that the ... See full document

... occasionally weakly compatible mappings are not weakly com- ...self mappings (A, P) and (B, Q) are commuting and the mappings A, B, S, T, P and Q have unique common fixed ... See full document

... and fixed point theorem in fuzzy metric spaces, ...A fixed point theorem in the Intuitionistic fuzzy metric spaces, far east ... See full document

... theory, fuzzy theory, image processing and so forth. In metric spaces, this theory begins with the Banach fixed-point theorem which provides a constructive method of finding ... See full document

... common fixed point. Indeed, if w = Tu = gu, owing to the weakly compatible of T and g, we get Tw = T ( gu ) = g ( Tu ) = ...coincidence point of T and g, then gu = gw = w = Tw. ... See full document

... established coupled fixed point for mixed monotone operator in partially ordered metric ...furnishing coupled coincidence and coupled fixed point theorem for ... See full document

... random mappings and estab- lish a unique random fixed point results under this condition in random cone metric spaces using the concept of weakly random compatible ... See full document

... Abstract. Coupled coincidence and fixed point problems have begun to be considered only very ...a coupled coincidence point theorem for a compatible pair of ... See full document

... of intuitionistic fuzzy set due to Atanassov [12], we define the notion of intuitionistic fuzzy metric spaces due to Kramosil and Michalek [16] and Jungck’s common fixed ... See full document

... a point of coincidence as f and g satisfy all the conditions of Theorem ...common fixed point, say z. Now one need to show that z remains the fixed point of all the component ... See full document