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초록
In this paper, we propose and study iterative algorithms for solving the split problem: find a common element x(dagger) epsilon C satisfying Theta(x(dagger),y)+ < Fx(dagger), y- x(dagger)> + Psi( x(dagger), y)-Psi( x(dagger), x(dagger)) >= 0, for all y epsilon C and Au epsilon Fix(S), where S be an L-Lipschitzian quasi-pseudo-contractive operator. Weak and strong convergence theorems are given under some mild assumptions.
키워드
Equilibrium split problem; quasi-pseudo-contractive operator; self-adaptive algorithm; FIXED-POINT PROBLEM; ITERATIVE ALGORITHMS; AUXILIARY PRINCIPLE; FEASIBILITY PROBLEM; OPERATORS
- 제목
- SELF-ADAPTIVE ALGORITHMS FOR AN EQUILIBRIUM SPLIT PROBLEM IN HILBERT SPACES
- 저자
- Sun, Wenlong; Lu, Gang; Jin, Yuanfeng; Park, Choonkil
- 발행일
- 2021-12
- 유형
- Article
- 권
- 15
- 호
- 4
- 페이지
- 1581 ~ 1596