Split common fixed point problems for demicontractive operators

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초록

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
DOI
10.1007/s11075-018-0605-0
발행일
2019-09
유형
Article
저널명
Numerical Algorithms
권
82
호
1
페이지
297 ~ 320