Research Article

Fs−contractive mappings in controlled metric type spaces

Volume: 4 Number: 3 September 30, 2021
EN

Fs−contractive mappings in controlled metric type spaces

Abstract

We investigate in this manuscript, we study a new type of mappings so called F_s −contractive, in addition
to we establish some fixed point results related to F_s −contractive type mappings in controlled type metric
spaces. Also, examples are provided to illustrate our results.

Keywords

Supporting Institution

none

Project Number

none

Thanks

It is my pleasure to publish your journal

References

  1. [1] S. Banach, Sur les opérations dans les ensembles abstraits et leur applications aux équations intégrales, Fund Math. 3, 133-181 (1922).
  2. [2] J. Jachymski, I. Jówik, On Kirk's asymptotic contractions. J Math Anal Appl. 300, 147-159 (2004). doi:10.1016/j. jmaa.2004.06.037.
  3. [3] T. Suzuki, Fixed-point theorem for asymptotic contractions of Meir-Keeler type in complete metric spaces, Non-linear Anal. 64, 971-978 (2006).
  4. [4] N. Mlaiki, H. Aydi, N. Souayah and T. Abdeljawad, Controlled metric type spaces and the related contraction principle, Mathematics, 6, 194, 2018.
  5. [5] A. Meir, E. Keeler, A theorem on contraction mappings. J Math Anal Appl. 28, 326-329 (1969). doi:10.1016/0022-247X (69)90031-6.
  6. [6] T. Abdeljawad, Fixed points for generalized weakly contractive mappings in partial metric spaces. Math Comput Mod- elling. 54, 2923-2927 (2011). doi:10.1016/j.mcm.2011.07.013.
  7. [7] Choudhury, Binayak, S, Konar, P, Rhoades, BE, Metiya, N: Fixed point theorems for generalized weakly contractive mappings. Nonlinear Anal. 74, 2116-2126 (2011). doi:10.1016/j.na.2010.11.017.
  8. [8] D. Wardowski, Fixed points of a new type of contractive mappings in complete metric spaces. Fixed Point Theory Appl. 2012, 94 (2012) https://doi.org/10.1186/1687-1812-2012-94.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Muhib Abuloha This is me
Palestine

Aiman Mukheimer This is me
Saudi Arabia

Nizar Souayah
Saudi Arabia

Publication Date

September 30, 2021

Submission Date

April 26, 2021

Acceptance Date

July 13, 2021

Published in Issue

Year 2021 Volume: 4 Number: 3

APA
Abuloha, M., Rizk, D., Abodayeh, K., Mukheimer, A., & Souayah, N. (2021). Fs−contractive mappings in controlled metric type spaces. Results in Nonlinear Analysis, 4(3), 149-158. https://doi.org/10.53006/rna.928319
AMA
1.Abuloha M, Rizk D, Abodayeh K, Mukheimer A, Souayah N. Fs−contractive mappings in controlled metric type spaces. RNA. 2021;4(3):149-158. doi:10.53006/rna.928319
Chicago
Abuloha, Muhib, Doaa Rizk, Kamaleldin Abodayeh, Aiman Mukheimer, and Nizar Souayah. 2021. “Fs−contractive Mappings in Controlled Metric Type Spaces”. Results in Nonlinear Analysis 4 (3): 149-58. https://doi.org/10.53006/rna.928319.
EndNote
Abuloha M, Rizk D, Abodayeh K, Mukheimer A, Souayah N (September 1, 2021) Fs−contractive mappings in controlled metric type spaces. Results in Nonlinear Analysis 4 3 149–158.
IEEE
[1]M. Abuloha, D. Rizk, K. Abodayeh, A. Mukheimer, and N. Souayah, “Fs−contractive mappings in controlled metric type spaces”, RNA, vol. 4, no. 3, pp. 149–158, Sept. 2021, doi: 10.53006/rna.928319.
ISNAD
Abuloha, Muhib - Rizk, Doaa - Abodayeh, Kamaleldin - Mukheimer, Aiman - Souayah, Nizar. “Fs−contractive Mappings in Controlled Metric Type Spaces”. Results in Nonlinear Analysis 4/3 (September 1, 2021): 149-158. https://doi.org/10.53006/rna.928319.
JAMA
1.Abuloha M, Rizk D, Abodayeh K, Mukheimer A, Souayah N. Fs−contractive mappings in controlled metric type spaces. RNA. 2021;4:149–158.
MLA
Abuloha, Muhib, et al. “Fs−contractive Mappings in Controlled Metric Type Spaces”. Results in Nonlinear Analysis, vol. 4, no. 3, Sept. 2021, pp. 149-58, doi:10.53006/rna.928319.
Vancouver
1.Muhib Abuloha, Doaa Rizk, Kamaleldin Abodayeh, Aiman Mukheimer, Nizar Souayah. Fs−contractive mappings in controlled metric type spaces. RNA. 2021 Sep. 1;4(3):149-58. doi:10.53006/rna.928319

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