G. Saravanakumar
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Schauder-Tychonoff Fixed Point Theorem on Sequentially Complete Hausdorff Strongly Convex Topological Vector Spaces
Annals of Communications in Mathematics 2023
, 6 (4)
, 253-259
DOI: https://doi.org/10.62072/acm.2023.060406
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).
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e⋆-connectedness in intuitionistic fuzzy topological spaces
Annals of Communications in Mathematics 2021
, 4 (1)
, 26-34
DOI: https://doi.org/10.62072/acm.2021.040104
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.
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Generalizations of fuzzy quasi open sets and connectedness between fuzzy sets in fuzzy bitopological spaces
Annals of Communications in Mathematics 2020
, 3 (3)
, 218-231
DOI: https://doi.org/10.62072/acm.2020.030305
AbstractIn this paper we introduce and study fuzzy quasi e (resp. e ∗, a, β, δs and δp)-open sets, fuzzy quasi e (resp. e ∗, a, β, δs and δp)-closed sets, fuzzy quasi e (resp. e ∗, a, β, δs and δp)-connectedness between fuzzy sets fuzzy quasi e (resp. e ∗, a, β, δs and δp)–separated sets in fuzzy bitopological spaces.
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e⋆-local Functions and Ψe⋆ -operator in Ideal Topological Spaces
Annals of Communications in Mathematics 2024
, 7 (1)
, 1-9
DOI: https://doi.org/10.62072/acm.2024.070101
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