[PDF] Top 20 COMMON FIXED POINT THEOREMS SATISFYINGAN IMPLICIT RELATION

... An extensive study in fuzzy metric space and fuzzy 2-metric space had been done by Sharma [1] using this concept we have accomplished the task of generalizing the res[r] ... See full document

... fixed point theorems have been proved for order-preserving ...new relation- theoretic version of the Banach contraction principle employing general binary relation which in turn generalizes ... See full document

... aM(Ax,By,kt) + bM(x, y, t) + cM(Ax,x,t) + dM(By, y,kt) ≥ 0, (3.57) aM(Ax,By,kt) + bM(x, y, t) + cM(Ax,x,kt) + dM(By, y, t) ≥ 0, (3.58) for all x, y ∈ X, for all t > 0, and for some fixed a,b,c,d ∈ R such that a ... See full document

... a common fixed point theorem for two weakly subsequentially continuous and compatible of type (E) for two pairs of self mappings, which satisfying implicit relation in metric spaces, an ... See full document

... In 2002, Aamri and Moutawakil [1] generalized the notion of non compatible mapping to E.A. property. It was pointed out in [1] that property E.A. buys containment of ranges without any continuity requirements besides ... See full document

... ABSTRACT: In order to demonstrate the utility of implicit relation in metric space, we have added common fixed point theorem through this paper. It is a generalized work on pointwise ... See full document

... several common fixed point theorems for a pair of weakly compatible mappings satisfying certain contractive mappings of integral type, Altun and Türkoˇglu [], Altun et ...few common fixed ... See full document

... and common fixed points for four self-mappings with A -implicit contractions on non-complete 2-metric spaces and give some particular forms, also obtain a common fixed point ... See full document

... two common fixed point theorems on complete PM- space with an implicit ...of fixed point theory in PM - ...of fixed point ...some common fixed ... See full document

... Recently, implicit relations are used as a tool for finding common fixed point of contraction ...These implicit relations guarantee coincidence point of pair of maps that ... See full document

... of implicit function to prove a common fixed point theorem in metric space, Singh and Jain [11] extened the result of Popa ([9],[10]) in fuzzy metric ...proved common fixed ... See full document

... Most recently, Azam et al. (cf. [1]) and latter Fayyaz et al. (cf. [3]) studied complex valued metric spaces wherein some fixed point theorems for mappings satisfying a rational inequality were ... See full document

... which is a contradiction to (B). Therefore, Az = z = Sz. Similarly, we prove that Bz = z = Tz by using (3.3). Therefore, in all, z = Az = Bz = Sz = Tz. i.e. z is common fixed point of A, B, S and T. ... See full document

... Using implicit relation we establish two common coupled fixed point theo- rems under the conditions of weakly commutativity and w−compatibility on a complete metric space, which is not ... See full document

... condition (ii) of Theorem 3.7. If f i f j = f j f i ; g k g l = g l g k for all i, j ∈ I 1 = {1, 2, · · · , m} and k, l ∈ I 2 = {1, 2, · · · , p}, than (for all i ∈ I 1 and k ∈ I 2 ) f i and g k have a common ... See full document

... Abstract In this paper, we obtain unique common fixed point theorems for two mappings satisfying the variable coefficient linear contraction of integral type and the implicit contraction[r] ... See full document

... In 1966 , Sehgal [2] initiated the study of contraction mapping theorem in PM- space. Altun and Turkoglu [3] proved two common fixed point theorems on complete PM- space with an ... See full document

... coincidence point each. Moreover, A, B, S and T have a unique common fixed point in X provided for all x, y in X and each t > 0, there exists k ∈ (0, 1) and F ∈ F such ... See full document

... correct. Common fixed point theorems for semi compatible mappings in fuzzy metric spaces gratifying an implicit relation validated by Singh and Jain [3] in ...of implicit ... See full document

... some common fixed point theorems in fuzzy metric spaces for sequence of self mappings using implicit relation and the property ... See full document