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- Jitsupa Deepho, Wiyada Kumam, Poom Kumam
- J. Math. Model. Algorithms in OR
- 2014

The purpose of this paper is to introduce a new hybrid extragradient iterative algorithm for finding a common element of the set of fixed points of quasi-nonexpansive mappings and satisfying solutions of the split feasibility problem (SFP) and systems of equilibrium problem (SEP) in Hilbert spaces. We prove that the sequence generated by the proposed… (More)

- Jitsupa Deepho, Juan Martínez-Moreno, Kanokwan Sitthithakerngkiet, Poom Kumam
- J. Computational Applied Mathematics
- 2017

- Jitsupa Deepho, Phatiphat Thounthong, Poom Kumam, Supak Phiangsungnoen
- J. Computational Applied Mathematics
- 2017

- Kanokwan Sitthithakerngkiet, Jitsupa Deepho, Poom Kumam
- Applied Mathematics and Computation
- 2015

and Applied Analysis 3 PK is called the metric projection ofH ontoK. It is well known that PK is a nonexpansive mapping ofH onto K and satisfies 〈x − y, PKx − PKy〉 ≥ ∥ PKx − PKy ∥ ∥ 2 , 2.3 for every x, y ∈ H. Moreover, PKx is characterized by the following properties: PKx ∈ K and 〈x − PKx, y − PKx〉 ≤ 0, ∥ ∥x − y∥∥ ≥ ‖x − PKx‖ ∥ ∥y − PKx ∥

- Jitsupa Deepho, Issara Inchan, Suttirat Inma
- 2010

In this paper, we introduce an iterative method for finding a common element of the set of solutions of a generalized equilibrium problem and the set of fixed points of a nonexpansive mapping in a Hilbert space. Then, we prove strong convergence theorems for nonexpansive mapping to solve a unique solution of the variational inequality. The results extended… (More)

—In this paper, we suggest a hybrid extragradient method for finding a common element of the set of fixed point sets of an infinite family of nonexpansive mappings and the solution set of the split feasibility problem (SFP) in real Hilbert spaces.

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