Research Article

Common Fixed Point Results for Suzuki Type Contractions on Partial Metric Spaces with an Application

Volume: 44 Number: 1 March 26, 2023
EN

Common Fixed Point Results for Suzuki Type Contractions on Partial Metric Spaces with an Application

Abstract

In this article, we prove a common fixed point theorem for Suzuki type contractions on complete partial metric spaces. Moreover, we state some corollaries related to Suzuki type common fixed point theorem. And we give an example where we apply our main theorem on complete partial metric spaces. Finally, to show usability of our results, we give its an application showing existence and uniqueness of a common solution for a class of functional equations in dynamic programming.

Keywords

References

  1. [1] Suzuki T., A generalized Banach contraction principle that characterizes metric completeness, Proc. Amer. Math. Soc., 136 (2008) 1861-1869.
  2. [2] Suzuki T., A new type of fixed point theorem in metric spaces, Nonlinear Anal. Theory Methods Appl., 71 (2009) 5313-5317.
  3. [3] Abbas M., Ali B., Vetro C., A Suzuki type fixed point theorem for a generalized multivalued mapping on partial hausdorff metric spaces, Topol. Appl., 160 (2013) 553-563.
  4. [4] Abbas M., Iqbal H., Petruşel A., Fixed points for multivalued Suzuki type (Theta,R)-contraction mappings with applications, J. Funct. Spaces, 2019 (2019) 9565804 13.
  5. [5] Chandra N., Arya M.C., Joshi M.C., A Suzuki type common fixed point theorem, Filomat, 31 (2017) 2951-2956.
  6. [6] Ciric L., Abbas M., Rajoviç M., Ali B., Suzuki type fixed point theorems for generalized multivalued mappings on a set endowed with two b-metrics, Appl. Math. Comput., 219 (2012) 1712-1723.
  7. [7] Özkan K., Gürdal U., The Fixed Point Theorem and Characterization of Bipolar Metric Completeness, Konuralp J. Math., 8 (2020) 137-143.
  8. [8] Sedghi S., Shobkolaei N., Dosenovic T., Radenovic S., Suzuki type of common fixed point theorems in fuzzy metric spaces, Math. Slovaca, 68 (2018) 451-462.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

March 26, 2023

Submission Date

September 9, 2022

Acceptance Date

January 24, 2023

Published in Issue

Year 2023 Volume: 44 Number: 1

APA
Özkan, K. (2023). Common Fixed Point Results for Suzuki Type Contractions on Partial Metric Spaces with an Application. Cumhuriyet Science Journal, 44(1), 148-159. https://doi.org/10.17776/csj.1173233

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