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Split common fixed point problems for demicontractive operators
- Padcharoen, Anantachai;
- Kumam, Poom;
- Cho, Yeol Je
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31초록
In this paper, first, we introduce a new iterative algorithm involving demicontractive mappings in Hilbert spaces and, second, we prove some strong convergence theorems of the proposed method with the Armijo-line search to show the existence of a solution of the split common fixed point problem. Finally, we give some numerical examples to illustrate our main results.
키워드
Equilibrium problem; Variational inequality; Split equilibrium problem; Split variational inequality; Split common fixed point problem; Demicontractive mapping; GENERALIZED EQUILIBRIUM PROBLEMS; STRONG-CONVERGENCE THEOREMS; VARIATIONAL-INEQUALITIES; ITERATIVE METHODS; PROJECTION ALGORITHMS; APPROXIMATION METHODS; CYCLIC ALGORITHM; MAPPINGS
- 제목
- Split common fixed point problems for demicontractive operators
- 저자
- Padcharoen, Anantachai; Kumam, Poom; Cho, Yeol Je
- 발행일
- 2019-09
- 유형
- Article
- 권
- 82
- 호
- 1
- 페이지
- 297 ~ 320