Annals of Communications in Mathematics

AbstractIn this paper, we study the Schauder-Tychonoff fixed point (STFP) on a subset A of a sequentially complete Hausdorff strongly convex topological vector space (SCHSCTVS) E (over the field R) with calibration Γ have a unique STFP in Topological Vector Space (TVS).

AbstractIn this paper the concept of types of intuitionistic fuzzy e⋆-connected and intuitionistic fuzzy e⋆-extremally disconnected in intuitionistic fuzzy topological spaces are introduced and studied. Here we introduce the concepts of intuitionistic fuzzy e⋆C5-connectedness, intuitionistic fuzzy e⋆CS-connectedness, intuitionistic fuzzy e⋆CM-connectedness, intuitionistic fuzzy e⋆-strongly connectedness, intuitionistic fuzzy e⋆-super connectedness, intuitionistic fuzzy e⋆Ci-connectedness (i = 1, 2, 3, 4), and obtain several properties and some characterizations concerning connectedness in these spaces.

ABSTRACT.In this paper we introduce and study fuzzy quasi \( e \) (resp. \( e^{*}, \alpha, \beta, \delta \) and \( \delta p \))-open sets, fuzzy quasi \( e \) (resp. \( e^{*}, \alpha, \beta, \delta s \) and \( \delta p \))-closed sets, fuzzy quasi \( e \) (resp. \( e^{*}, \alpha, \beta, \delta s \) and \( \delta p \))-connectedness between fuzzy sets, fuzzy quasi \( e \) (resp. \( e^{*}, \alpha, \beta, \delta s \) and \( \delta p \))-separated sets in fuzzy bitopological spaces.

AbstractThe main goal of this paper is to introduce another local function to give the possibility of obtaining a Kuratowski closure operator. On the other hand, e⋆-local functions defined for ideal topological spaces have not been found in the current literature. e⋆-local functions for the ideal topological spaces have been described within this work. Moreover, with the help of e⋆-local functions Kuratowski closure operators cl∗e⋆ I and τ ∗e⋆ topology are obtained. Many theorems in the literature have been revised according to the definition of e⋆-local functions