[PDF] Top 20 COMMON FIXED POINT THEOREM OF WEAKLY COMPATIBLE MAPPINGS OF CHAINABLE INTUITIONISTIC FUZZY METRIC SPACES

... of fuzzy mathematics commenced with the introduction of the notion of fuzzy sets by Zadeh ([14], 1965), as a new way to represent the vagueness in everyday ...using fuzzy sets by ...of ... See full document

... Fixed point theory ends in masses of packages in mathematics, computer technological, engineering, game concept, fuzzy principle, image processing and so ...In metric areas, this theory starts ... See full document

... For example, Deng [5], Ereeg [6], Fang [7], George and Veeramani [8], Kaleva and Seikkala [12], Kramosil and Michalek [11] have introduced the concept of fuzzy metric spaces in different ways. In ... See full document

... Remark 2.5. The converse of the above Lemma is not true. That is, if P,Q,S and T are self maps of a metric space ( , ) X d satisfying (2.4.1) , (2.4.2) and even if for any x 0 in X and for any of its associated ... 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 ...coupled fixed point ... See full document

... a common fixed point theorem for occasionally weakly compatible mappings in modified intuitionistic fuzzy metric ...known common fixed ... See full document

... semi-metric spaces in 1931, many fixed point theorems have been proved in this ...of weakly com- patible mappings which are weaker than compatible ...occasionally ... See full document

... Fixed point theory has the diverse applications in differ- ent branches of mathematics, statistics, engineering, and eco- nomics in dealing with the problems arising in approximation theory, potential ... 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

... probabilistic metric spaces [5, 7]; fuzzy metric spaces [12, 15]; Intuitionistic fuzzy metric spaces [11, ...the common property (E.A), we prove a ... See full document

... a fuzzy metric space, George and Veermani [4]modified the notion of fuzzy metric spaces with the help of continuous ...of compatible maps for a pair of self ...in fixed ... See full document

... Note. The concepts of triangular norms (t- norms) and triangular conorms (t-conorms) are known as the axiomatic skeletons that we use for characterizing fuzzy intersections and unions, respectively. These concepts ... See full document

... a common fixed ...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. Therefore, w is a common ... See full document

... a common fixed point of that map and identity map on the ...turning point in the “fixed point arena” when the notion of commutativity was used by Jungck [8] to obtain com- ... See full document

... which by lemma 3.1, implies that Au = z. Hence, Au = z = Su. Since A X ( )  T X ( ), there exists v  X such that Tv = z. Following the arguments similar to those given above, we obtain z = Bv =Tv. Since u is a ... 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

... is weakly compatible, we get 7% = ...a common fixed point of 7 and 8. Hence % is a common fixed point of 5, 7, 6 and ...unique common fixed ... See full document

... In fuzzy set theory of Zadeh [1] the membership of an element to a fuzzy set is a single value between zero and ...a fuzzy set is equal to (1- membership degree)because there may be some hesitation ... See full document

... self mappings which contained the class of non-compatible mappings in metric ...more mappings and containment of the range of one mapping into the range of other which is utilized to ... 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