[PDF] Top 20 3. COMMON FIXED POINT THEOREMS FOR SIX WEAKLY COMPATIBLE SELF-MAPPINGS IN M- FUZZY METRIC SPACES

... introduced fuzzy metric which was used in topology and ...in fuzzy metric ...studied fixed point theory in fuzzy metric ... See full document

... establish common fixed point theorems for two weakly compatible self-mappings satisfying the contractive condition or the quasi-contractive condition in the case of a ... 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

... It is a contradiction. Hence Qv = STv.....(xi) Thus ABu = Pu = STv = Qv = p,say......(xii) Since the pair (P, AB) is weakly compatible we have Pp = PPu = PABu = ABPu = ABABu = ABp......(xiii). Suppose r = ... See full document

... tible mappings and utilized it to improve and generalize the commutativity conditions employed in common fixed point ...non-compatible mappings initiated by Pant ...the ... See full document

... a point of coincidence as f and g satisfy all the conditions of Theorem ...unique common fixed point, say ...the fixed point of all the component ... 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

... Remark 3.4 Since the condition of t-norm with t t t   for all t    0,1 is replaced by arbitrary con- tinuous t-norm, Theorem 3.1 also improves the result of Cho et al. ([26], Theorem 3.1) without any requirement of ... See full document

... (X, M, *) be a M - 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 ... See full document

... of fuzzy metric spaces in various ...of weakly compatible mapping in fuzzy metric spaces by ...of compatible mappings is weakly ... See full document

... of common fixed points in the framework of fuzzy metric ...established fixed point theorems for mappings which satisfy generalized contractive conditions in ... See full document

... turning point in the development of fuzzy mathematics when the notion of fuzzy set was introduced by ...intuitionistic fuzzy sets. D.Coker [4] introduced the concept of intuitionistic ... See full document

... (X, M, ∗) be a fuzzy metric space with t ∗ t ≥ t for all t ∈ [, ...be mappings from X into itself satisfying all the hypotheses of Lemma ...coincidence point each. Moreover, A, B, S ... See full document

... investigates common fixed point theorems for six self ...of compatible mappings of type-beta in Fuzzy metric spaces using integral type ... See full document

... of fuzzy mathematics commenced with the introduction of the notion of fuzzy sets by Zadeh [18] in 1965, as a new way to represent the vague- ness in every day ...using fuzzy sets [17]. The concept of ... See full document

... of fuzzy sets and ...of fuzzy metric spaces (shortly FM-spaces) in different ...of fuzzy set theory, the field of engineering has undoubtedly been a ...some common ... 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

... 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

... 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

... a common fixed point theorem for weakly compatible mappings generalizing a result of Khan and Kubiaczyk ...prove common fixed point theorems for ... See full document