In this paper, we prove the existence and uniqueness of a common fixed point in symmetric generalized intuitionistic fuzzy metric spaces using property (E.A.) or CLRg property. We introduce new notion for pair mappings (f, g) on space called weakly commuting type (Jf ) R-weakly ).

In this paper, an idea of generalized fuzzy c-distance in fuzzy cone metric space is introduced. A common fixed point theorem is established for a pair of self mappings in fuzzy cone metric spaces by using the concept of generalized fuzzy c-distance. 2010 AMS Classification: : 54A40, 03E72

In this paper, we propose a generalization of Rényi divergence, and then we investigate its induced geometry. This generalization is given in terms of a φ-function, the same function that is used in the definition of non-parametric φ-families. The properties of φ-functions proved to be crucial in the generalization of Rényi divergence. Assuming appropriate conditions, we verify that the general...

and Applied Analysis 3 proving: 1 a fixed point theorem for an asymptotically pseudocontractive mapping that is also uniformly L-Lipschitzian and uniformly asymptotically regular, 2 that the set of fixed points of T is closed and convex, and 3 the strong convergence of a CQ-iterative method. The literature on asymptotical-type mappings is very wide see, 7–15 . In 1967, Browder 16 and Kato 17 , ...

*Correspondence: [email protected]; [email protected] 3Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran Full list of author information is available at the end of the article Abstract In this paper, some new generalization of Darbo’s fixed point theorem is proved by using a F(ψ ,φ)-contraction in terms of a measure of noncompactness. Our result extends to obtai...

and Applied Analysis 3 It is well known that, in an infinite dimensional Hilbert space, the normal Mann iterative algorithm has only weak convergence, in general, even for nonexpansive mappings. Hybrid projection algorithms are popular tool to prove strong convergence of iterative sequences without compactness assumptions. Recently, hybrid projection algorithms have received rapid developments;...

Huang and Zhang 1 generalized the notion of metric space by replacing the set of real numbers by ordered Banach space, deffined a cone metric space, and established some fixed point theorems for contractive type mappings in a normal cone metric space. Subsequently, several other authors 2–5 studied the existence of common fixed point of mappings satisfying a contractive type condition in normal...

There are various concepts of structure preserving mappings in geometry. It is the aim of the present paper to give a survey on geometrical characterizations of some of those mappings. We discuss the results for projective spaces in some detail and report on generalizations to other spaces. We shall come across partially defined mappings. The notation φ : P → P ′ is used in order to point out t...

and Applied Analysis 3 that w fw gw, that is, w is a common fixed point for f, g . If z is any common fixed point for f, g (i.e., fz gz z , then, again by the uniqueness of POC, it must be z w. The following result is due to Ðorić et al. [21]. It shows that the results of Jungck and Rhoades are not generalizations of results obtained from Lemma 2.1. Proposition 2.3 (see [21]). Let a pair of map...

‎in this text we prove that in generalized shift dynamical system $(x^gamma,sigma_varphi)$‎ ‎for finite discrete $x$ with at least two elements‎, ‎infinite countable set $gamma$ and‎ ‎arbitrary map $varphi:gammatogamma$‎, ‎the following statements are equivalent‎: ‎ - the dynamical system $(x^gamma,sigma_varphi)$ is‎ li-yorke chaotic;‎ - the dynamical system $(x^gamma,sigma_varphi)$ has‎ an scr...