[PDF] Top 20 Probabilistic b-metric spaces and nonlinear contractions

... on probabilistic metric spaces ...a probabilistic (fuzzy) b-metric space and discuss some topological pro- prieties of these new ...for probabilistic (fuzzy) ϕ-contraction ... See full document

... G-metric spaces are established; also see ...and B with respect to the other mapping, are stated in ...G-metric spaces. In [] and [], theorems from G-metric spaces are ... See full document

... ∀ x, y ∈ X , where α, β ≥ 0 with kα + kβ < 1, then T has a unique fixed point. Proof. By putting µ = γ = 0 in Theorem(3.1) we get the required result. Corollary 3.3. Let (X, b) be a complete ... See full document

... of metric fixed point ...above contractions have been extended and generalized by several researchers in various spaces such as quasi-metric spaces, cone metric spaces, ... See full document

... a probabilistic metric space in ...of probabilistic metric spaces has developed in many directions [, ...the metric. The notion of a probabilistic metric space ... See full document

... Tripled fixed points are extensions of the idea of coupled fixed points introduced in a recent paper by Berinde and Borcut, 2011. Here using a separate methodology we extend this result to a triple coincidence point ... See full document

... with B, by the nondecreasing property of B we get Bd(x, x ∗ ) BAd(x, x ∗ ...of B, we have d(x, x ∗ ) = Bd(x, x ∗ ) – BAd(x, x ∗ ) θ and hence d(x, x ∗ ) = θ ... See full document

... On the other hand, in 2006, Mustafa and Sims [9, 10] introduced the notion of generalized metric spaces or simply G-metric spaces. Recently, Mohsenialhosseini in [7, 8] introduced the ... See full document

... 4 H. K. Nashine, Z. Kadelburg, and S. Radenovi´c, “Common fixed point theorems for weakly isotone increasing mappings in ordered partial metricspaces,” Mathematical and Computer Modelling. In press. 5 Z. Kadelburg, H. K. ... See full document

... sets,” Nonlinear Analysis: Theory, Methods & Applications, ...for nonlinear contractions in partially ordered metric spaces,” Nonlinear Analysis: Theory, Methods & ... See full document

... recent years, the existence results on coupled fixed points were generalized and improved by various authors (e.g. [–]). Very recently, Samet et al. [] have shown that the cou- pled fixed results can be more easily ... See full document

... The notion of a coupled fixed point is introduced by Bhaskar and Lakshmikantham []. Afterward Lakshmikantham and Ćirić in [] extended this notion by defining the g - monotone property in partially ordered spaces. ... See full document

... Theorem 1.3 (Altun and Erduran [3]). Let (X, ≼) be a partially ordered set and sup- pose that there is a partial metric p on X such that (X, p) is a complete partial metric space. Suppose F : X ® X is a ... See full document

... The aim of this paper is to present some existence and uniqueness results on coinci- dence points involving a pair of self-mappings f and g defined on ordered metric space X such that f is g-increasing Boyd-Wong ... See full document

... Suzuki, “Three fixed point theorems for generalized contractions with constants in complete metric spaces,” Nonlinear Analysis: Theory, Methods & Applications, vol.. Suzuki, “A generaliz[r] ... See full document

... The Banach fixed point theorem for contraction mappings has been extended in many directions cf. 1–28. Very recently Agarwal et al. 1 presented some new results for generalized nonlinear contractions in ... See full document

... The aim of this paper is to present a new general fixed point theorems of cyclic nonlinear contractions that extend some theorems in the literature, by the use of the continuous function ψ given in ... See full document

... cone metric spaces, as a gener- alization of metric spaces, and gave the version of the Banach contraction principle and other basic theorems in the setting of cone metric ...cone ... See full document

... In this article, a new concept of mixed monotone-generalized contraction in partially ordered probabilistic metric spaces is introduced, and some coupled coincidence and coupled fixed point theorems ... See full document

... 21. Schweizer, B, Sklar, A, Pap, E: The metrization of statistical metric spaces. Pac. J. Math. 10, 673-675 (1960) 22. Mihet, D: Multivalued generalizations of probabilistic contraction. J. ... See full document