On fixed soft element theorems in se-uniform spaces

Abstract

First we introduce a new structure of uniform spaces, called se-uniform spaces, and provide some of their basic properties. Next, we present the notion of a soft E-distance in se-uniform spaces, which is a soft version of E-distance of Aamri and El Moutawakil [M. Aamri, D. El Moutawakil, Acta Math. Acad. Peadegog. Nyhazi., 20 (2004), 83-91]. Then, by using the soft E-distance, we establish some fixed soft element theorems for various mappings on se-uniform spaces, which are the main results of the paper. This is the first kind of such results in this direction.

A soft fixed Ppoint theorem of the weakly soft susc-contractions

“…Extensions of fixed point theorems to the soft set theory have been studied by some authors.In 2013, Wardowski [32] first established the natural first fixed-point results in the soft set theory, and many authors studied soft metric versions of several important fixed point theorems by using soft set theory, ( see, e.g. [9], [10], [12], [15]). In this article, we introduce a new notion of weakly soft susc-contraction in soft metric spaces and prove a soft fixed point theorem which assure the existence of soft fixed points for the type of weakly soft susc-contractions.…”

Some soft topological properties and fixed soft element results in soft complex valued metric spaces

“…Shabir and Naz [20] gave the notion of a soft topological space. Recently, more papers have been published on soft set theory [5,9,12,16,17].…”

A new approach for soft topology and soft function via soft element

“…Later, Das and Samanta 22,23 brought forward the concepts of soft elements, soft real sets, soft real numbers and the elementary union ( ‐union), intersection ( ‐intersection), and complement ( ‐complement) operations over the soft sets. Samanta et al and several authors examined some mathematical structures by using the notion of soft element 23–29 . Also, the soft set theory has been associated and applied to data science and various mathematical structures 30–37 .…”

“…Samanta et al and several authors examined some mathematical structures by using the notion of soft element. [23][24][25][26][27][28][29] Also, the soft set theory has been associated and applied to data science and various mathematical structures. [30][31][32][33][34][35][36][37] In addition, many authors have integrated the soft sets, fuzzy sets, rough sets, and neutrosophic sets.…”