Fixed Point Theorems of \(\alpha_*\)-\(\psi\)-Common Rational Type Contractive Order Closed Set-Valued Mappings on Generalized Metric Spaces

Authors

  • F. Lotfy Department of Mathematics, Faculty of Science, Tabriz Branch, Islamic Azad University Tabriz
  • J. Hassanzadeh Asl Department of Mathematics, Faculty of Science, Tabriz Branch, Islamic Azad University Tabriz

DOI:

https://doi.org/10.26713/jims.v12i4.1492

Keywords:

Common fixed points, \(\alpha_∗\)-\(\psi\)-common admissible, \(\alpha_∗\)-\(\psi\)-common rational type contractive, Partially ordered set, Weakly increasing

Abstract

Alsulami et al. [4] introduced the notion of \((\alpha\)-\(\psi)\)-rational type contractive mappings. They have been established some fixed point theorems for the mappings in complete generalized metric spaces. In this paper, we introduce the notion of some fixed point theorems of \(\alpha_*\)-\(\psi\)-common rational type contractive order closed set-valued mappings on generalized metric spaces with application to fractional integral equations and give a common fixed point result about fixed points of the set-valued mappings.\ Also, we give a result about common fixed points of self-maps on a partially ordered set and on complete metric satisfy a contractive condition.

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Published

2020-12-31
CITATION

How to Cite

Lotfy, F., & Hassanzadeh Asl, J. (2020). Fixed Point Theorems of \(\alpha_*\)-\(\psi\)-Common Rational Type Contractive Order Closed Set-Valued Mappings on Generalized Metric Spaces. Journal of Informatics and Mathematical Sciences, 12(4), 299–316. https://doi.org/10.26713/jims.v12i4.1492

Issue

Vol. 12 No. 4 (2020)

Section

Research Articles

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