INTRODUCTION There have been a number of generalizations of metric spaces. One such generalization is Menger space introduced in 1942 by Menger[9] who used distribution functions instead of nonnegative real numbers as values of the metric. This space was expanded rapidly with the pioneering works of Schweizer and Sklar [11, 12]. Modifying the idea of Kramosil and Michalek [7], George and Veeram...

In this paper, we shall establish some fixed point theorems for mappings with the contractive  condition of integrable type on complete intuitionistic fuzzy metric spaces $(X, M,N,*,lozenge)$. We also use Lebesgue-integrable mapping to obtain new results. Akram, Zafar, and Siddiqui introduced the notion of $A$-contraction mapping on metric space. In this paper by using the main idea of the work...

Abstract The article focuses on the introduction of neutrosophic continuity and boundedness, which is a fair extension intuitionistic fuzzy respectively. further advances to illustrate Fréchet derivative nonlinear operators between normed spaces (NNS). Examples have been provided in compliance with theory aid some standard sequence spaces.

The aim of this paper is to introduce the notion of  -chainable intuitionistic fuzzy metric spaces and prove a common fixed point theorem for four weakly compatible mappings in this newly defined space. Our result is intuitionistic fuzzy version of Cho and Jung's [1] and Mukherjee's [9] results in  -chainable fuzzy metric space.

In this paper we define dislocated generalized intuitiionistic fuzzy metric space and prove common fixed point theorems for weakly compatible maps in dislocated generalized intuitionistic fuzzy metric spaces.

In this paper, we define the concepts of modified intuitionistic probabilistic metric spaces, the property (E.A.) and  the common property (E.A.) in   modified  intuitionistic probabilistic metric spaces.Then, by the commonproperty (E.A.), we prove some common fixed point theorems in modified intuitionistic Menger probabilistic metric spaces satisfying an implicit relation.

This paper proposes rough convergence and statistical of a double sequence in intuitionistic fuzzy normed spaces. It then defines the limit points cluster these Afterwards, this examines some their basic properties. Finally, it discusses need for further research.