[PDF] Top 20 Some fixed point theorems in Menger PbM-spaces with an application

... a Menger probabilistic metric space (briefly, Menger PM-space) was initi- ated by Menger ...of Menger was to use a distribution function instead of a non- negative number for the value of a ... See full document

... of Menger probabilistic metric space and partial metric space, we establish a new concept of Menger probabilistic partial metric ...present some fixed point theorems in these ... See full document

... of fixed points in partially ordered sets has been considered recently in 1, and some generalizations of the result of 1 are given in ...1 some applications to matrix equations are presented, in 3, 4 ... See full document

... a Menger-Hausdorff G ∗ -metric in Menger probabilistic G-metric spaces, and we prove that ( ∗ , G ∗ , ) is also a Menger probabilistic G-metric ...obtain some useful results. As an ... See full document

... M-complete Menger PM-space under arbi- trary t-norm, therefore Theorem ...fixed point for generalized type contractive mappings in Menger ...an application of Theorems ...fixed ... See full document

... a Menger PQM-space is a generalization of the notion of a metric ...So Menger PQM-spaces offer a wider framework than that of metric spaces and are better suited to cover even wider ... See full document

... Therefore by Lemma 2, we have Tz = z. Since STz = z therefore Sz = z. By combining the above results we have Az = Bz = Sz = Tz = Iz = Jz = Lz = Uz = Pz = Qz = z. that is z is a common fixed point of A, B, ... See full document

... In 1997, Cho et al. [2] introduced the concepts of compatible maps and compatible maps of type (A) in non-Archimedean Menger probabilistic metric spaces and gave some fixed point ... See full document

... In this section we prove some common fixed point theorems by using seven compatible mappings in complete Menger spaces.. In fact we prove following results..[r] ... See full document

... Every Menger space ( X, F, ∗) is an intuitionistic Menger space of the form ( X, F, 1 − F, ∗ , ♦) such that the t-norm ∗ and the t-conorm ♦ are associated, see [19], that is x ♦ y = 1 − ( 1 − x ) ∗ ( 1 − y ... See full document

... Coincidence point theorem in probabilistic and fuzzy metric ...D: Fixed point theorems in probabilistic metric ...fixed point theorem for occasionally weakly compatible mappings in ... See full document

... , Menger [] initiated the study of probabilistic metric ...in Menger spaces (see ...fixed point results by giving a generalization of the classical Banach fixed point ...we ... See full document

... gave some fixed point theorems for probabilistic ϕ -contractions in Menger ...fixed point theorem for a probabilistic ϕ -contraction in Menger spaces in which a weaker ... See full document

... generating spaces of quasi-norm family are introduced and their linear topological structures are ...These spaces are not necessarily locally convex. By virtue of some properties in these ... See full document

... prove some common fixed point theorems for weakly compatible mappings via an implicit relation in Menger PM ...spaces. Some results on similar lines satisfying ... See full document

... fixed point theorems in the setting of Menger spaces in three senses: on the one hand, we introduce the notion of Menger probabilistic metric-like space by avoiding a non-necessary ... See full document

... 1942, Menger [8] has introduced the theory of probabilistic metric space by introducing probabilistic notion into ...common fixed point theorems on complete PM- space with an implicit ...of ... See full document

... related fixed point for two mappings on two metric ...proved some related fixed point theorems for two pairs of mappings on two metric ...Also some related fixed ... See full document

... Fixed-point theory in FM-spaces for different contractive-type mappings is closely related to that in PM-spaces (refer [7, 21, 32, 44]. Various mathematicians; for example, Hadˇ zi´ c and Pap ... See full document

... of fixed point ...the fixed point theory in metric ...metric spaces have been introduced as a probabilistic generalization of metric ... See full document