Research Article

Fixed Point Theorems for Multivalued Mappings of Feng-Liu Type Θ-contractions on M-metric Spaces

Volume: 4 Number: 2 December 31, 2022
EN

Fixed Point Theorems for Multivalued Mappings of Feng-Liu Type Θ-contractions on M-metric Spaces

Abstract

In this paper, we give new fixed point results for multivalued mappings by considering Feng-Liu’s technique θcontractions on M-complete M-metric spaces which into itself by extending θ-contractions introduced by Jleli and Samet. Our results extend and generalize some related fixed point theorems including the famous Feng-Liu’s results in the literature.

Keywords

References

  1. [1] J. Ahmad, A. E. Al-Mazrooei, Y. J. Cho and Y. O. Yang, Fixed point results for generalized θ-contractions, J. Nonlinear Sci. Appl., 10 (23502358), 1 (2017).
  2. [2] I. Altun, H. A. Hanc¸er and G. Mınak, On a general class of weakly Picard operators, Miskolc Mathematical Notes, 16 (1), 25-32 (2015).
  3. [3] I. Altun and G. Mınak, On fixed point theorems for multivalued mappings of Feng-Liu type, Bulletin of the Korean Mathematical Society, 52 (6), 1901-1910 (2015).
  4. [4] I. Altun, H. Sahin, and D. Turkoglu, Fixed point results for multivalued mappings of Feng-Liu type on M metric spaces, J. Nonlinear Funct. Anal., 2018, 7 (2018).
  5. [5] M. Asadi, E. Karapınar and P. Salimi, New extension of p-metric spaces with some fixed-point results on M-metric spaces, Journal of Inequalities and Applications, 1, 1-9 (2014).
  6. [6] G. Durmaz and I. Altun, A new perspective for multivalued weakly picard operators, Publications de l’Institut Mathematique, 101 (115), 197-204 (2017).
  7. [7] G. Durmaz and I. Altun, On nonlinear set-valued θ-contractions, Bulletin of the Malaysian Mathematical Sciences Society, 43 (1), 389-402 (2020).
  8. [8] H. A. Hanc¸er, G. Mınak and I. Altun, On a broad category of multivalued weakly Picard operators, Fixed Point Theory, 18 (1), 229-236 (2017).

Details

Primary Language

English

Subjects

Software Engineering (Other)

Journal Section

Research Article

Publication Date

December 31, 2022

Submission Date

August 31, 2022

Acceptance Date

December 31, 2022

Published in Issue

Year 2022 Volume: 4 Number: 2

APA
Gökşin Taş, M., Türkoğlu, D., & Altun, İ. (2022). Fixed Point Theorems for Multivalued Mappings of Feng-Liu Type Θ-contractions on M-metric Spaces. Proceedings of International Mathematical Sciences, 4(2), 88-94. https://izlik.org/JA72AK43GJ
AMA
1.Gökşin Taş M, Türkoğlu D, Altun İ. Fixed Point Theorems for Multivalued Mappings of Feng-Liu Type Θ-contractions on M-metric Spaces. PIMS. 2022;4(2):88-94. https://izlik.org/JA72AK43GJ
Chicago
Gökşin Taş, Maide, Duran Türkoğlu, and İshak Altun. 2022. “Fixed Point Theorems for Multivalued Mappings of Feng-Liu Type Θ-Contractions on M-Metric Spaces”. Proceedings of International Mathematical Sciences 4 (2): 88-94. https://izlik.org/JA72AK43GJ.
EndNote
Gökşin Taş M, Türkoğlu D, Altun İ (December 1, 2022) Fixed Point Theorems for Multivalued Mappings of Feng-Liu Type Θ-contractions on M-metric Spaces. Proceedings of International Mathematical Sciences 4 2 88–94.
IEEE
[1]M. Gökşin Taş, D. Türkoğlu, and İ. Altun, “Fixed Point Theorems for Multivalued Mappings of Feng-Liu Type Θ-contractions on M-metric Spaces”, PIMS, vol. 4, no. 2, pp. 88–94, Dec. 2022, [Online]. Available: https://izlik.org/JA72AK43GJ
ISNAD
Gökşin Taş, Maide - Türkoğlu, Duran - Altun, İshak. “Fixed Point Theorems for Multivalued Mappings of Feng-Liu Type Θ-Contractions on M-Metric Spaces”. Proceedings of International Mathematical Sciences 4/2 (December 1, 2022): 88-94. https://izlik.org/JA72AK43GJ.
JAMA
1.Gökşin Taş M, Türkoğlu D, Altun İ. Fixed Point Theorems for Multivalued Mappings of Feng-Liu Type Θ-contractions on M-metric Spaces. PIMS. 2022;4:88–94.
MLA
Gökşin Taş, Maide, et al. “Fixed Point Theorems for Multivalued Mappings of Feng-Liu Type Θ-Contractions on M-Metric Spaces”. Proceedings of International Mathematical Sciences, vol. 4, no. 2, Dec. 2022, pp. 88-94, https://izlik.org/JA72AK43GJ.
Vancouver
1.Maide Gökşin Taş, Duran Türkoğlu, İshak Altun. Fixed Point Theorems for Multivalued Mappings of Feng-Liu Type Θ-contractions on M-metric Spaces. PIMS [Internet]. 2022 Dec. 1;4(2):88-94. Available from: https://izlik.org/JA72AK43GJ
Creative Commons License
The published articles in PIMS are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.