in this paper, we prove the generalized hyers-ulam stability of the quadratic functionalequation$$f(x+y)+f(x-y)=2f(x)+2f(y)$$in non-archimedean $mathcal{l}$-fuzzy normed spaces.

The intent of this paper is to establish a common fixed point theorem by using a new continuity condition in 2 Non-Archimedean Menger PM-space.This gives an alternative answer of the problem of Rhoades [6].Our result extends, generalizes and unifies several fixed point theorems on metric spaces, Menger probablistic-metric spaces and fuzzy metric spaces. Mathematics Subject Classification: 47H10...

In this paper, common fixed point theorems for occasionally weakly compatible mappings in intuitionistic fuzzy metric space has been proved which is a generalization of the result Turkoglu et. al. [9]. We also cited an example support our result.

Binayak et al in [1] proved a fixed point of generalized Kannan type-mappings in generalized Menger spaces. In this paper we extend gen- eralized Kannan-type mappings in generalized fuzzy metric spaces. Then we prove a fixed point theorem of this kind of mapping in generalized fuzzy metric spaces. Finally we present an example of our main result.

We discuss 1-Ahlfors-regular connected sets in a general metric space and prove that such sets are ‘flat’ on most scales and in most locations. Our result is quantitative, and when combined with work of I. Hahlomaa, gives a characterization of 1-Ahlfors regular subsets of 1Ahlfors-regular curves in metric spaces. Our result is a generalization to the metric space setting of the Analyst’s (Geome...

* Correspondence: [email protected] School of Computer & Systems Sciences, Jawaharlal Nehru University, New Delhi 110 067, India Full list of author information is available at the end of the article Abstract In this article, we utilize the notions of the property (E.A.) and common property (E. A.) in the setting of modified intuitionistic fuzzy metric spaces to prove a result interrela...

in this paper, we introduce intuitionistic fuzzy contraction mappingand prove a fixed point theorem in intuitionistic fuzzy metric spaces.