Research Article

Suzuki - $(\mathcal{Z}_{\psi}(\alpha,\beta))$ - type rational contractions

Volume: 5 Number: 2 June 30, 2022
EN

Suzuki - $(\mathcal{Z}_{\psi}(\alpha,\beta))$ - type rational contractions

Abstract

In this paper, we obtain a unique common fixed point results by using Suzuki - $(\mathcal{Z}_{\psi}(\alpha,\beta))$ - type rational contractive mappings in metric spaces. Also we give an example which supports our main theorem.

Keywords

References

  1. [1] S. Banach, Sur les operations dans les ensembles abstraits et leur application aux equation integrals, Fund. Math.,3(1922),133-181.1
  2. [2] S. Radenovic, Z. Kadelburg, D. Jandrlixex and A. Jandrlixex, Some results on weak contraction maps, Bull. Iran. Math. Soc. 2012, 38, 625-645.
  3. [3] T.Suzuki, A generalized Banach contraction principle which characterizes metric completeness, Proc. Amer. Math. Soc. 2008. vol. 136, pp. 1861-1869.
  4. [4] B. Samet, C. Vetro, P. Vetro, Fixed point Theorems for α - ψ- contractive type mappings, Nonlinear Anal. 75, 2154- 2165(2012).
  5. [5] F. Khojasteh, S. Shukla, S. Radenovic, A new approach to the study of fixed point theory for simulation functions, Filomat 29, 1189?1194 (2015).
  6. [6] Gh. Heidary J, A. Farajzadeh, M. Azhini and F. Khojasteh, A New Common Fixed Point Theorem for Suzuki Type Contractions via Generalized ψ-simulation Functions, Sahand Communications in Mathematical Analysis (SCMA) Vol. 16 No. 1 (2019), 129-148.
  7. [7] A.S.S. Alharbi, H.H. Alsulami and E. Karapinar, On the Power of Simulation and Admissible Functions in Metric Fixed Point Theory, Journal of Function Spaces, 2017 (2017), Article ID 2068163, 7 pages.
  8. [8] B. Alqahtani, A. Fulga, E. Karapinar, Fixed Point Results On ∆-Symmetric Quasi-Metric Space Via Simulation Function With An Application To Ulam Stability, Mathematics 2018, 6(10), 208.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Publication Date

June 30, 2022

Submission Date

June 19, 2020

Acceptance Date

March 17, 2022

Published in Issue

Year 2022 Volume: 5 Number: 2

APA
V, M. L. H. (2022). Suzuki - $(\mathcal{Z}_{\psi}(\alpha,\beta))$ - type rational contractions. Results in Nonlinear Analysis, 5(2), 151-160. https://doi.org/10.53006/rna.754938
AMA
1.V MLH. Suzuki - $(\mathcal{Z}_{\psi}(\alpha,\beta))$ - type rational contractions. RNA. 2022;5(2):151-160. doi:10.53006/rna.754938
Chicago
V, M L Himabindu. 2022. “Suzuki - $(\mathcal{Z}_{\psi}(\alpha,\beta))$ - Type Rational Contractions”. Results in Nonlinear Analysis 5 (2): 151-60. https://doi.org/10.53006/rna.754938.
EndNote
V MLH (June 1, 2022) Suzuki - $(\mathcal{Z}_{\psi}(\alpha,\beta) $ - type rational contractions. Results in Nonlinear Analysis 5 2 151–160.
IEEE
[1]M. L. H. V, “Suzuki - $(\mathcal{Z}_{\psi}(\alpha,\beta))$ - type rational contractions”, RNA, vol. 5, no. 2, pp. 151–160, June 2022, doi: 10.53006/rna.754938.
ISNAD
V, M L Himabindu. “Suzuki - $(\mathcal{Z}_{\psi}(\alpha,\beta))$ - Type Rational Contractions”. Results in Nonlinear Analysis 5/2 (June 1, 2022): 151-160. https://doi.org/10.53006/rna.754938.
JAMA
1.V MLH. Suzuki - $(\mathcal{Z}_{\psi}(\alpha,\beta))$ - type rational contractions. RNA. 2022;5:151–160.
MLA
V, M L Himabindu. “Suzuki - $(\mathcal{Z}_{\psi}(\alpha,\beta))$ - Type Rational Contractions”. Results in Nonlinear Analysis, vol. 5, no. 2, June 2022, pp. 151-60, doi:10.53006/rna.754938.
Vancouver
1.M L Himabindu V. Suzuki - $(\mathcal{Z}_{\psi}(\alpha,\beta))$ - type rational contractions. RNA. 2022 Jun. 1;5(2):151-60. doi:10.53006/rna.754938