Common Fixed Point Results of Suzuki-type Rational Zψ-contractions-Reference-Cited by-同舟云学术

Common Fixed Point Results of Suzuki-type Rational Zψ-contractions

Published:2023-02-02 Issue: Volume:22 Page:93-99
ISSN:2224-2880
Container-title:WSEAS TRANSACTIONS ON MATHEMATICS
language:en
Short-container-title:

Author:

Wongsasinchai Paiwan¹,Khaofong Chatuphol²

Affiliation:

1. Department of Mathematics, Faculty of Science and Technology Rambhai Barni Rajabhat University, Chanthaburi 22000, THAILAND

2. Division of Mathematics, Faculty of Science and Technology, Rajamangala University of Technology Krungthep (RMUTK), 2 Nang Linchi Rd., Sathorn, Bangkok 10120, THAILAND

Abstract

In this paper, we combine the (α, β)-admissible mappings and the simulation function in this paper to create the generalized version of Suzuki - type rational Zψ-contraction mapping. This notion is also employed in the setting of metric spaces to get some common fixed point theorems. Appropriate examples are also provided to validate the results acquired.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

General Mathematics

Reference16 articles.

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4. H. Argoubi, B. Samet, C. Vetro, Nonlinear contractions involving simulation functions in a metric space with a partial order, J. Nonlinear Sci. Appl., 8:1082-1094, 2015.

5. Gh. Heidary J, A. Farajzadeh, M. Azhini, F. Khojasteh, A New Common Fixed Point Theorem for Suzuki Type Contractions via Generalized 𝜓-simulation Functions, Sahand Communications in Mathematical Analysis, 16(1):129- 148, 2019.