Abstract
In this paper we study some coupled fixed point theorems and coupled coincidence fixed point theorems for infinite family mappings satisfying different contractive conditions on the complete partially ordered metric space with the help of concept of mixed g-monotone property. Further we used generalized Darbo type coupled fixed point theorem to find the existence of solutions for a system of nonlinear functional integral equations in Banach space with the help of measure of noncompactness.
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Acknowledgements
The authors acknowledge the financial support provided by King Mongkut’s University of Technology Thonburi through the“KMUTT 55th Anniversary Commemorative Fund”. This project was supported by the Theoretical and Computational Science (TaCS) Center under Computational and Applied Science for Smart Innovation Cluster (CLASSIC), Faculty of Science, KMUTT.
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Hazarika, B., Arab, R. & Kumam, P. Coupled fixed point theorems in partially ordered metric spaces via mixed g-monotone property. J. Fixed Point Theory Appl. 21, 1 (2019). https://doi.org/10.1007/s11784-018-0638-y
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DOI: https://doi.org/10.1007/s11784-018-0638-y