Research Article

FIXED POINT THEOREMS IN SOME FUZZY METRIC SPACES VIA INTERPOLATIVE CONTRACTIONS

Volume: 8 Number: 1 January 31, 2025
EN

FIXED POINT THEOREMS IN SOME FUZZY METRIC SPACES VIA INTERPOLATIVE CONTRACTIONS

Abstract

In this article, an interpolative contraction existing in the literature is adapted to different fuzzy metric spaces. Using this contraction, a fixed point theorem in two fuzzy metric spaces is proven and an example is presented. Thus, a more general form of some concepts and theorems existing in the literature has been obtained.

Keywords

Supporting Institution

There is no support from any institution.

Ethical Statement

I declare that this study is an original study, that I have acted in accordance with scientific ethical principles and rules at all stages, and that I have cited the sources for the data and information.

Thanks

I would like to thank the editors who will review this work for their contributions.

References

  1. S. Banach, Sur les oprations dans les ensembles abstrails et leur application aux quations intgrales, Fund Math., Vol.3, pp.133-181 (1922).
  2. A. George and P. Veeramani, On some results in fuzzy metric spaces, Fuzzy Sets and Systems., Vol.64, pp.395-399 (1994). Doi:10.1016/0165-0114(94)90162-7.
  3. M. Grabiec, Fixed points in fuzzy metric spaces, Fuzzy Sets and Systems., Vol.27, pp.385-389 (1988). Doi:10.1016/0165-0114(88)90064-4.
  4. V. Gregori, J. J. Minana, D. Miravet, Extended fuzzy metrics and _xed point theorems, Mathematics Journal, Vol.7, pp.303 (2019). Doi:10.3390/math7030303.
  5. V. Gregori, S. Romaguera, Characterizing completable fuzzy metric spaces, Fuzzy Sets and Systems, Vol.144, pp.411-420 (2014). Doi:10.1016/S0165-0114(03)00161-1.
  6. V. Gregori, A. Sapena, On _xed point theorems in fuzzy metric spaces, Fuzzy Sets and Systems, Vol.125, pp.245-252 (2002). Doi:10.1016/S0165-0114(00)00088-9.
  7. V. Istratescu, An introduction to theory of probabilistic metric spaces with applications, Ed. Tehnica, Bucure_sti-Romanian, (1974).
  8. E. Karapinar, R. P. Agarwal, H. Aydi, Interpolative Reich-Rus-Ciric type contractions on partial metric spaces, Mathematics, Vol.6, pp.256 (2018).

Details

Primary Language

English

Subjects

Topology

Journal Section

Research Article

Publication Date

January 31, 2025

Submission Date

July 30, 2024

Acceptance Date

December 2, 2024

Published in Issue

Year 2025 Volume: 8 Number: 1

APA
Şenocak, M. (2025). FIXED POINT THEOREMS IN SOME FUZZY METRIC SPACES VIA INTERPOLATIVE CONTRACTIONS. Journal of Universal Mathematics, 8(1), 33-39. https://doi.org/10.33773/jum.1446824
AMA
1.Şenocak M. FIXED POINT THEOREMS IN SOME FUZZY METRIC SPACES VIA INTERPOLATIVE CONTRACTIONS. JUM. 2025;8(1):33-39. doi:10.33773/jum.1446824
Chicago
Şenocak, Meryem. 2025. “FIXED POINT THEOREMS IN SOME FUZZY METRIC SPACES VIA INTERPOLATIVE CONTRACTIONS”. Journal of Universal Mathematics 8 (1): 33-39. https://doi.org/10.33773/jum.1446824.
EndNote
Şenocak M (January 1, 2025) FIXED POINT THEOREMS IN SOME FUZZY METRIC SPACES VIA INTERPOLATIVE CONTRACTIONS. Journal of Universal Mathematics 8 1 33–39.
IEEE
[1]M. Şenocak, “FIXED POINT THEOREMS IN SOME FUZZY METRIC SPACES VIA INTERPOLATIVE CONTRACTIONS”, JUM, vol. 8, no. 1, pp. 33–39, Jan. 2025, doi: 10.33773/jum.1446824.
ISNAD
Şenocak, Meryem. “FIXED POINT THEOREMS IN SOME FUZZY METRIC SPACES VIA INTERPOLATIVE CONTRACTIONS”. Journal of Universal Mathematics 8/1 (January 1, 2025): 33-39. https://doi.org/10.33773/jum.1446824.
JAMA
1.Şenocak M. FIXED POINT THEOREMS IN SOME FUZZY METRIC SPACES VIA INTERPOLATIVE CONTRACTIONS. JUM. 2025;8:33–39.
MLA
Şenocak, Meryem. “FIXED POINT THEOREMS IN SOME FUZZY METRIC SPACES VIA INTERPOLATIVE CONTRACTIONS”. Journal of Universal Mathematics, vol. 8, no. 1, Jan. 2025, pp. 33-39, doi:10.33773/jum.1446824.
Vancouver
1.Meryem Şenocak. FIXED POINT THEOREMS IN SOME FUZZY METRIC SPACES VIA INTERPOLATIVE CONTRACTIONS. JUM. 2025 Jan. 1;8(1):33-9. doi:10.33773/jum.1446824