Coupled Random Fixed Point Theorems for Mixed Monotone Nonlinear Operators

Chayut Kongban; Poom Kumam; Juan Martí­nez-Moreno

doi:10.26713/cma.v10i2.1083

Authors

Chayut Kongban KMUTTFixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand; KMUTT-Fixed Point Theory and Applications Research Group (KMUTT-FPTA), Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140
Poom Kumam KMUTTFixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand; KMUTT-Fixed Point Theory and Applications Research Group (KMUTT-FPTA), Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140
Juan Martínez-Moreno Department of Mathematics, Faculty of Experimental Science, University of Jaén, Campus Las Lagunillas, s/n, 23071 Jaén

DOI:

https://doi.org/10.26713/cma.v10i2.1083

Keywords:

Coupled random coincidence, Coupled random fixed point, Measurable mapping, Mixed monotone mapping, Random operator

Abstract

In this paper, we prove the existence of a random coupled coincidence and coupled random fixed point theorems in complete separable metric space without the mixed \(g\)-monotone property. The results are used to prove existence of random solutions for random integral equation.

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