[PDF] Top 20 Common fixed point theorems in Menger spaces

... Probabilistic metric space was first introduced by Menger [6]. Later, there are many au- thors who have some detailed discussions and applications of a probabilistic metric space, for example, we may see Schweizer ... See full document

... prove common fixed point theorems for families of owc maps in Menger ...corresponding fixed point theorems in fuzzy metric ...[Common fixed ... See full document

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

... metric spaces which are very similar to Menger ...metric spaces as a generalization of fuzzy metric spaces due to George and Veeramani ...intuitionistic Menger spaces as a ... See full document

... Example 2.5. If (X , d) is a metric space then the metric d induces a mapping X × X −→ L, defined by F p,q (x) = H(x − d(p, q)), p, q ∈ X and x ∈ R. Further, if the t−norm t : [0, 1] × [0, 1] −→ [0, 1] is defined by t(a, ... See full document

... Although E.A property is generalization of the concept of non compatible maps, yet it requires either completeness of the whole space or any of the range space or continuity of maps. Recently, the new notion of CLR ... 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

... fixed point theorems for a probabilistic ϕ-contraction in Menger ...fixed point theorems for ϕ -contraction in fuzzy metric spaces like Theorems ... See full document

... fixed point results for mappings under strict contractive conditions in probabilistic metric spaces are not very ...in Menger PM-spaces and studied the existence of common fixed points in ... See full document

... K. Menger introduced the probabilistic metric space in which the metric whose value is non- negative real number is the probabilistic ...metric spaces leads to the investigation of physical quantities and ... See full document

... Recently, Jungck and Rhoades [5] termed a pair of self maps to be coincidentally commuting or equivalently weakly compatible if they commute at their coincidence points. Sessa [11] initiated the tradition of improving ... See full document

... We observe that the notion of common property E.A. relaxes the required containment of range of one mapping into the range of other which is utilized to construct the sequence of joint iterates. As a consequence, ... See full document

... d f (x),f (y) ≤ ϕ d(x,y) , x,y ∈ M. (1.1) In 1969, Boyd and Wong [1] showed that a ϕ-contractive selfmap f on a complete metric space (M,d) has a unique fixed point ξ in M and that, for any x in M, the sequence of ... See full document

... generating spaces of quasi-norm family are introduced and their linear topological structures are ...These spaces are not necessarily locally ...these spaces, several Schauder-type fixed ... See full document

... fixed point theorems have been established in PM-spaces by various authors, ...fixed point result of Khan et ...complete Menger space (S, F, T M ) has a unique fixed ... See full document

... A Menger probabilistic G-metric space (for short, a PGM-space) is a triple (X, G ∗ , ), where X is a nonempty set, is a continuous t-norm, and G ∗ is a mapping from X × X × X into D (G ∗ x,y,z denotes the value of ... See full document

... In recent times, many fixed point theorems have been presented in the setting of proba- bilistic metric spaces. Many of them were inspired by their corresponding results on met- ric spaces. One ... See full document

... 1. Introduction. Cho et al. [1] proved a common fixed point theorem for compatible mappings of type (A) in non-Archimedean (NA) Menger PM-space. The aim of this paper is to generalize the results of ... See full document

... Common fixed point theorems on expansion type mappings on complete metric spaces, Math____:.. Some fixed point theorems on expansion mappings, Math.[r] ... See full document