Xiaorui Kang, Nannan Fang, Some common coupled fixed point results for the mappings with a new contractive condition in a Menger PbM-metric space, Vol. 2023 (2023), Article ID 9, pp. 1-19

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DOI: 10.23952/jnfa.2023.9

Received January 23, 2023; Accepted February 17, 2023; Published February 28, 2023

 

Abstract In the setting of Menger PbM-metric spaces, a new contraction condition is presented and some new coupled coincidence point and common coupled fixed-point theorems of \omega-weakly compatible self-maps pairs are proved. In addition, some examples are presented to demonstrate the validity of the fixed-point theorems. Finally, an existence theorem for a common solution of integral equations is considered.

 

How to Cite this Article:
X. Kang, N. Fang, Some common coupled fixed point results for the mappings with a new contractive condition in a Menger PbM-metric space, J. Nonlinear Funct. Anal. 2023 (2023) 9.