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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2019.1
- 수록면
- 703 - 723 (21page)
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In this paper, we consider a common solution of three problems in real Hilbert spaces: the Ky Fan inequality problem, the variational inequality problem and the xedpoint problem for demicontractive single-valued and quasi-nonexpansive multi-valued mappings. To nd the solution we present a new iterative algorithm and prove a strong convergence theorem under mild conditions. Moreover, we provide a numerical example to illustrate the convergence behavior of the proposed iterative method.
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참고문헌 (28)
참고문헌 신청
P. N. Anh / 2008 / An LQ regularization method for pseudomonotone equilibrium problems on polyhedra / Vietnam J. Math 36:209~228
P. N. Anh / 2012 / Strong convergence theorems for nonexpansive mappings and Ky Fan inequalities / J. Optim. Theory Appl 154:303~320
P. N. Anh / 2013 / A hybrid extragradient method extended to fixed point problems and equi-librium problems / Optimization 62:271~283
E. Blum / 1994 / From optimization and variational inequalities to equilibrium problems / Math. Student 63:123~145
H. Brezis / 1972 / A remark on Ky Fan's minimax princi-ple / Boll. Unione Mat. Ital 6:293~300
P. N. Anh / 2012 / Strong convergence theorems for nonexpansive mappings and Ky Fan inequalities / J. Optim. Theory Appl 154:303~320
P. N. Anh / 2013 / A hybrid extragradient method extended to fixed point problems and equi-librium problems / Optimization 62:271~283
E. Blum / 1994 / From optimization and variational inequalities to equilibrium problems / Math. Student 63:123~145
H. Brezis / 1972 / A remark on Ky Fan's minimax princi-ple / Boll. Unione Mat. Ital 6:293~300
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