Open AccessSome results on soft equicontinuity and soft uniform equicontinuity
Author(s) -
Sandeep Kaur,
Alkan Özkan
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2112095k
Subject(s) - equicontinuity , pointwise , mathematics , pointwise convergence , soft set , uniform limit theorem , metric space , mathematical analysis , pure mathematics , computer science , approx , artificial intelligence , fuzzy logic , operating system
Equicontinuity plays a vital role in general metric spaces and multiple studies have tried to characterize equicontinuity since its origin. Advent of soft set theory leads us to study these mappings in terms of soft sets, as well. In this paper, first we introduce the concept of soft equicontinuity, soft pointwise equicontinuity and soft uniform equicontinuity with examples. Moreover, we explore soft continuity of soft pointwise limit of a sequence of soft mappings when the family of the given soft mapping is a soft equicontinuous mapping and then discuss soft pointwise convergence of sequence of soft mappings which are a soft pointwise equicontinuous mappings when co-domain is soft complete space. We also give characterizations of soft pointwise equicontinuity and soft uniform equicontinuity in terms of convergent sequence of soft points in soft dense subset.