[PDF] Top 20 Common fixed point theorems for nonlinear contractions in a Menger space

... metric space may be exactly translated into a probabilistic metric space endowed with min ...complete Menger space, which is a milestone in developing fixed point theorems in a ... See full document

... This paper consists four sections. First section is central to the text. In second section, we generalize the results of Kohli and Vashistha [1] for pairs of mappings using weakly compatible maps. Third section deals the ... See full document

... 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 ∈ ...a Menger space. The space (X , F,t) so obtained is called the induced ... See full document

... Definition 1.9.([14]) Let f and g mapping from a Menger space (X, F, ∆) into itself. A pair of map {f, g} is said to be compatible if lim →∞ F(fgx , gfx , t) = 1, whenever {x } is a sequence in X such that ... 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 − ... See full document

... “Common fixed point theorems for weakly isotone increasing mappings in ordered partial metricspaces,” Mathematical and Computer ...“Fixed point results under various contractive ... See full document

... is called a distribution function if it is non- decreasing and left continuous with inf F = 0 and sup F = 1. We will denote by L the set of all distribution functions. A probabilistic metric space is a pair (X, F ... See full document

... , Menger [] initiated the study of probabilistic metric ...of nonlinear equations under various types of conditions in Menger spaces (see ...fixed point results by giving a generalization ... See full document

... metric space [2] and George and Veeramani modified the concept in 1994 ...metric space (X, M, N, ∗, ⋄), the topology generated by the intuitionistic fuzzy metric (M, N) coincides with ... See full document

... metric space, the concept of a probabilistic metric space has been introduced by Menger [, ...]. Fixed point theory in a probabilistic metric space is an im- portant branch of ... See full document

... The purpose of this article is to present some fixed point theorems for (ψ, )-weak contractive mappings in a complete metric space endowed with a partial order. As an application of the main ... See full document

... coupled fixed point theorems which can be used to discuss the existence and uniqueness of solution for a periodic boundary value ...coupled fixed point theorem for contractions ... See full document

... metric space for the first ...metric space, Singh and Pant defined the same idea in more general setting of probabilistic metric ...space. Common fixed point theorems have ... See full document

... metric space (shortly, PM- space) in 1942. The study of this space received much attention after the pioneering work of Schweizer and Sklar [22] (also see ...proved common fixed ... 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 space and explained basic topological fundamentals of ... See full document

... 1942, Menger [8] has introduced the theory of probabilistic metric space by introducing probabilistic notion into ...PM- space. Altun and Turkoglu [2] proved two common fixed ... See full document

... The Banach Contraction Principle is one of the cornerstones in the development of Nonlinear Analysis, in general, and metric fixed point theory, in particular. The method of successive approximation ... See full document

... in common fixed point ...existence theorems on common fixed ...of common fixed points of noncompatible mappings is also equally interesting which was initiated by ... See full document

... metric space was first introduced by Menger ...metric space, for example, we may see Schweizer and Sklar ...about fixed point theorems in a probabilistic metric space with ... 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 ... See full document