ON A GENERALIZED FIXED POINT THEOREM IN INCOMPLETE SOFT METRIC SPACES

Authors

  • M. Ramezani Department of mathematics, Faculty of Mathematics, University of Bojnord, P.O. Box 1339, Bojnord 94531, Iran Author
  • H. Baghani Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, P.O. Box 98135-674, Zahedan, Iran Author

Keywords:

Soft metric space, soft fixed point, orthogonal set, Picard operator

Subjects:

34A12, 65R10, 65R20

Abstract

In this paper, we introduce the notionof orthogonal relation on a soft set $(F,A)$ and somerelated concepts. This notion allows us to consider fixed point theoremin SO-complete instead of complete soft metric spaces introduced byYazar et.al. (Filomat 30:2 (2016), 269–279). Then, the existence anduniqueness of soft fixed points for a generalized soft contractivemapping are proved. Also, some examples are given to support thatour main theorem is a real extension of Yazar et.al.

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Published

2020-07-15

Issue

Vol. 72 No. 3 (2020): Vol. 72, Issue 3

Section

Articles

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Copyright (c) 2020 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.