[PDF] Top 20 Coupled Fixed Point Theorem for Weakly Compatible Mappings in Menger Spaces

... where and interpret this function as the probability that distance between and is less than , whereas in the met- ric space, the distance function is a single positive num- ber. Sehgal [2] initiated the study of ... See full document

... The aim of present paper is to introduce the notion of t- conorm of H-type analogous to t-norm of H-type introduced by Hadzic [9] and using this notion we prove coupled fixed point theorems for ... See full document

... The object of this paper is to prove common fixed point theorems for families of owc maps in Menger spaces. Also, we obtain the corresponding fixed point theorems in fuzzy metric ... See full document

... fixed point theorem for weakly compatible mappings under φ -contractive conditions in fuzzy metric ...(Fixed Point Theory ... 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

... are weakly compatible, then A, B, S, T, I, J, L, U, P and Q have a unique point in ...prove Theorem D under weaker condition using a new ...of Theorem D is replaced by closed ... 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

... 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

... By Theorem of Alaca et al. ([2], 2006), we can conclude that in . Since is complete, therefore sequence in converges to for some in and so the sequences , , and also converges to . Since is chainable, there exists ... 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

... common fixed point theorems for commuting maps which generalize the Banach contraction ...common fixed point theorem for weakly commuting ...of compatible maps which is ... See full document

... common fixed point theorem in fuzzy metric spaces for occasionally weakly compatible mappings with integral type in equality by reducing its minimum ...common fixed ... See full document

... commuting mappings called compatible ...of compatible mappings have been frequently used to show existence of com- mon fixed ...common fixed points for noncom- patible ... See full document

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

... common fixed point theorem for two pairs of weakly compatible mappings on multiplicative metric spaces without any continuity ...common fixed points are ... See full document

... Definition 2.1 see 9. A pair of self-mappings f, g on a cone metric space X, d is said to be R-weakly commuting if there exists a real number R > 0 such that dfgx, gfx ≤ Rdfx, gx for all x ∈ X, whereas ... See full document

... equivalently weakly compatible if they commute at their coincidence ...in fixed-point theorems by introducing the notion of weak commuting maps in metric ...to compatible maps. The ... See full document

... equivalently weakly compatible if they commute at their coincidence ...in fixed-point theorems by introducing the notion of weak commuting maps in metric ...to compatible maps. The ... See full document

... K. Menger [4] introduced the notion of probabilistic metric space (briefly, PM-space) as a generalization of metric ...metric spaces appears to be well adapted for the investigation of physical quantities ... 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 weakly ... See full document