[PDF] Top 20 Some Common Fixed Point Theorems in Fuzzy Metric Spaces for Sequence of Self Mapping Using the Property (E.A)

... of fuzzy set was first introduced by Iranian mathematician Zadeh [18]. Fuzzy set is specifically designed to mathematically represent uncertainty and ...vagueness. Fuzzy set is defined by a ... See full document

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

... metrical common fixed point theorem generally involves conditions on commutatively, continuity, completeness together with a suitable condition on containment of ranges of involved mappings by an ... See full document

... coincidence point. Moreover, f ,g, S and T have a unique common fixed point in X provided both the pairs ( f , S) and (g, T ) are weakly ...the common property ... See full document

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

... one mapping into the range of other which is utilized to construct the sequence of joint ...(E.A) property in fuzzy metric spaces (see ...range” property (or (CLR) ... See full document

... of fuzzy sets was introduced initially by Zadeh [11] in the year ...of fuzzy sets, Atanassove [24] introduced the concept of Intuitionistic fuzzy ...Intuitionistic fuzzy sets. Intuitionistic ... See full document

... new property which contains the property (E.A) and proved some common fixed point theorems under hybrid contractive ...of common property ...one mapping into ... See full document

... this fuzzy metric ...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

... in metric spaces and utilized the same (as a tool) to improve commutativity conditions in common fixed point ...existence theorems on common fixed ...various ... See full document

... compatible mapping to ...E.A. property allows replacing the completeness requirement of the space with a more natural condition of closeness of the ...Recently, common fixed point ... See full document

... Proof: Since the pairs (A, S) and (B, T) share the property (E.A), there exist two sequences { 5 } and { 5 } in X such that lim 5→n 7 5 = lim 5→n 8 5 = lim 5→n : 5 = for some z ∈ {. S(X) is closed subset of ... See full document

... Then there exist x ∈ X such that x Fx, x, that is, F admits a unique fixed point in X. Let φt kt, where 0 < k < 1, the following by Lemma 1, we get the following. Corollary 2 see 6. Let a ∗ b ≥ ab for ... See full document

... ⊂ E, we can define a partial ordering with respect to P by x 4 y or x < y if and only if y − x ∈ P for all x, y ∈ ...space E equipped with the partial ordered induced by P is denoted by (E, 4 ... See full document

... metric spaces. One of such generalization is a probabilistic metric space, briefly, PM-spaces, introduced in 1942 by Menger ...introduced fuzzy metric spaces which are ... See full document

... convergent sequence if there is an N such that for all n > N,d(x n , x) c for some x in X ...cone metric space X is said to be complete if every Cauchy sequence in X is convergent in X ... See full document

... in metric fixed point theory, Sevilla1995 , Universidad deSevilla, Sevilla, ...Chuan, Common fuzzy hybrid fixed point ... See full document

... different spaces by mathematicians over the ...usual metric space and generalized the Banach contraction principle in the context of complete b-metric ...the fixed point theory in b- ... See full document

... Sims, Fixed point theorems for contractive mapping in complete G -metric spaces, Fixed Point Theory Appl. Sims, Some remarks concerning D -metric spaces, Proceedings International C[r] ... See full document

... unique fixed point in X ...by using this condition. Due to a numerous applications of the fixed point theory, from the last few decades this theory is a central topic of ...the ... See full document