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Title

A New Common Fixed Point Theorem for Suzuki Type Contractions via Generalized $Psi$-simulation Functions

مجله تحریریه ی آنالیز ریاضی سهند، دوره: 16، شماره: 1
Year: 1398
COI: JR_SCMA-16-1_011
Language: EnglishView: 248
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Authors

Gholamreza Heidary Joonaghany - Department of Mathematics, Faculty of Science, Science and Research Branch, Islamic Azad University, Tehran, Iran.
Ali Farajzadeh - Department of Mathematics, Faculty of Science, University of Razi, Kermanshah ۶۷۱۴۹, Iran.
Mahdi Azhini - Department of Mathematics, Faculty of Science, Science and Research Branch, Islamic Azad University, Tehran, Iran.
Farshid Khojasteh - Department of Mathematics, Faculty of Science, Arak Branch, Islamic Azad University, Arak, Iran.

Abstract:

In this paper, a new stratification of mappings, which is  called $Psi$-simulation functions, is introduced  to enhance the study of the Suzuki type weak-contractions. Some well-known results in weak-contractions fixed point theory are generalized by our researches. The methods have been appeared in proving the main results are new and different from the usual methods. Some suitable examples are furnished to demonstrate the validity of the hypothesis of our results and reality of our generalizations.

Keywords:

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This Paper COI Code is JR_SCMA-16-1_011. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/944233/

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Heidary Joonaghany, Gholamreza and Farajzadeh, Ali and Azhini, Mahdi and Khojasteh, Farshid,1398,A New Common Fixed Point Theorem for Suzuki Type Contractions via Generalized $Psi$-simulation Functions,https://civilica.com/doc/944233

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  • H. Argoubi, B. Samet, and C. Vetro, Nonlinear contractions involving ...
  • A.D. Arvanitakis, A proof of the generalized Banach contraction conjecture, ...
  • S. Banach, Sur les operations dans les ensembles abstraits et ...
  • V. Berinde, Approximating fixed points of weak $varphi$-contractions, Fixed Point ...
  • D. Doric, Common fixed point for generalized $(psi - varphi)$-weak ...
  • D. Doric, Z. Kadelburg, and S. Radenovic, Edelstein-Suzuki-type fixed point ...
  • D. Doric and R. Lazovic, Some Suzuki-type fixed point theorems ...
  • P.N. Dutta and B.S. Choudhary, A generalization of contraction principle ...
  • F. Khojasteh, S. Shukla, and S. Radenovic, A new approach ...
  • M. Kikkawa and T. Suzuki, Some notes on fixed point ...
  • M. Kikkawa and T. Suzuki, Three fixed point theorems for ...
  • W. Kirk and B. Sims, Handbook of metric fixed point ...
  • A. Meir and E. Keeler, A theorem on contraction mappings, ...
  • A. Nastasi and P. Vetro, Fixed point results on metric ...
  • (2015), pp. 1059-1069. ...
  • M. Olgun, O. Bicer, and T. Alyildiz, A new aspect ...
  • K.P.R. Rao, K.P.K. Rao, and H. Aydi, A Suzuki type ...
  • B.E. Rhodes, Some theorems on weakly contractive maps, Nonlinear Anal., ...
  • A. Roldan, E. Karapinar, C. Roldan, and J. Martinez-Moreno, Coincidence ...
  • S.L. Singh, S.N. Mishra, Renu Chugh, and Raj Kamal, General ...
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Type of center: Azad University
Paper count: 37,281
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