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

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


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.


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

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