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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 경남대학교 기초과학연구소 Nonlinear Functional Analysis and Applications Nonlinear Functional Analysis and Applications Vol.27 No.1
- 발행연도
- 2022.3
- 수록면
- 1 - 22 (22page)
- DOI
- 10.22771/nfaa.2022.27.01.01
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초록· 키워드
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G3:G5The purpose of this research is to formulate a new proximal-type algorithm to solve the equilibrium problem in a real Hilbert space. a new algorithm is analogous to the famous two-step extragradient algorithm that was used to solve variational inequalities in the Hilbert spaces previously. the proposed iterative scheme uses a new step size rule based on local bifunction details instead of Lipschitz constants or any line search scheme. the strong convergence theorem for the proposed algorithm is well-proven by letting mild assumptions about the bifunction. Applications of these results are presented to solve the fixed point problems and the variational inequality problems. Finally,we discuss two test problems and computational performance is explicating to show the efficiency and effectiveness of the proposed algorithm.
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