Coupled Random Fixed Point Theorems for Mixed Monotone Nonlinear Operators

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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References

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Published

30-06-2019
CITATION

How to Cite

Kongban, C., Kumam, P., & Martí­nez-Moreno, J. (2019). Coupled Random Fixed Point Theorems for Mixed Monotone Nonlinear Operators. Communications in Mathematics and Applications, 10(2), 215–229. https://doi.org/10.26713/cma.v10i2.1083

Issue

Vol. 10 No. 2 (2019)

Section

Research Article

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