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SELF-ADAPTIVE ALGORITHMS FOR AN EQUILIBRIUM SPLIT PROBLEM IN HILBERT SPACES
- Authors
- Sun, Wenlong; Lu, Gang; Jin, Yuanfeng; Park, Choonkil
- Issue Date
- Dec-2021
- Publisher
- ELEMENT
- Keywords
- Equilibrium split problem; quasi-pseudo-contractive operator; self-adaptive algorithm
- Citation
- JOURNAL OF MATHEMATICAL INEQUALITIES, v.15, no.4, pp.1581 - 1596
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL INEQUALITIES
- Volume
- 15
- Number
- 4
- Start Page
- 1581
- End Page
- 1596
- ISSN
- 1846-579X
- Abstract
- 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.
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