General Iterative Scheme for Split Mixed Equilibrium Problems, Variational Inequality Problems and Fixed Point Problems in Hilbert Spaces

Authors

  • Jitsupa Deepho Faculty of Science, Energy and Environment, King Mongkut's University of Technology North Bangkok, Rayong Campus, 19 Moo 11, Tambon Nonglalok, Amphur Bankhai, Rayong 21120
  • Poom Kumam KMUTT-Fixed Point Research Laboratory, Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT) 126 Pracha Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140

DOI:

https://doi.org/10.26713/cma.v11i1.1298

Keywords:

Split mixed equilibrium problem, Fixed point problem, Hilbert spaces, Relaxed cocoercive mapping, Finite family of nonexpansive mappings

Abstract

The purpose in this paper is to study the strong convergence of general iterative scheme to find a common element of the set of a finite family of nonexpansive mappings, the set of solutions of variational inequalities for a relaxed cocoercive mapping and the set of solutions of split mixed equilibrium problem. Our results extend recent results announced by many others.

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Published

31-03-2020
CITATION

How to Cite

Deepho, J., & Kumam, P. (2020). General Iterative Scheme for Split Mixed Equilibrium Problems, Variational Inequality Problems and Fixed Point Problems in Hilbert Spaces. Communications in Mathematics and Applications, 11(1), 1–21. https://doi.org/10.26713/cma.v11i1.1298

Issue

Vol. 11 No. 1 (2020)

Section

Research Article

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