On a soft mapping and its fixed points

Dariusz Wardowski

61 citations0/0 files storedFixed Point Theory and Applications

No readable copy stored yet — this record is metadata only.

No open-access location is known for this record yet.

Literature note Cite in a project Citation map

Fuzzy and Soft Set Theory Fixed Point Theorems Analysis Fuzzy Systems and Optimization

Abstract

In the article first we introduce a new notion of soft element of a soft set and establish its natural relation with soft operations and soft objects in soft topological spaces. Next, using the notion of soft element, we define, in a different way than in the literature, a soft mapping transforming a soft set into a soft set and provide basic properties of such mappings. The new approach to soft mappings enables us to obtain the natural first fixed-point results in the soft set theory. Throughout the paper a comprehensive set of examples illustrating the discussed topics is presented. MSC: 47H10, 54A05.

Paper brief

Loading…

Cite this work

Citation unavailable for this work.

BibTeX RIS CSL-JSON

No public copy is stored for this record, so only the metadata is cited.

Citations in this library

Citation map →

Stored only when both papers are in the corpus — 61 citations exist upstream.

References

1999Soft set theory—First results 2003Soft set theory 2009On some new operations in soft set theory 2010Soft set relations and functions 2011Soft topology 2011Topological structure of fuzzy soft sets 2011Soft rough fuzzy sets and soft fuzzy rough sets 2009Mappings on Fuzzy Soft Classes

Cited by

2020Soft maps via soft somewhere dense sets

Explore the map →

Papers that cite the same references — the relational fallback while embeddings are still backfilling.

Imported from OpenAlex (CC0) — nothing here is generated.