The (CLR_g)-property for Coincidence Point Theorems and Fredholm Integral Equations in Modular Metric Spaces

Authors

  • Phumin Sumalai
  • Poom Kumam
  • Y. J. Cho
  • Anantachai Padcharoen

Keywords:

Coincidence point, fixed point, $g$-quasi-condition, $(CLR_g)$-property, modular metric space.

Abstract

In paper, we prove some common fixed point theorems for the pair of self-mappings with the $g$-quasi-condition in modular metric spaces. Also, we modify and prove some common fixed point theorems by using the $(CLR_g)$-property along with the weakly compatible mapping. Finally, we give some applications on integral equations
to illustrate our main results.

Author Biography

  • Poom Kumam
    Mathematics

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Published

2017-02-03

Issue

Vol. 10 No. 2: (January 2017)

Section

Functional Analysis

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How to Cite

The (CLR_g)-property for Coincidence Point Theorems and Fredholm Integral Equations in Modular Metric Spaces. (2017). European Journal of Pure and Applied Mathematics, 10(2), 238-254. https://www.ejpam.com/index.php/ejpam/article/view/2881