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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 경남대학교 기초과학연구소 Nonlinear Functional Analysis and Applications Nonlinear Functional Analysis and Applications Vol.24 No.3
- 발행연도
- 2019.1
- 수록면
- 627 - 637 (11page)
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초록· 키워드
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In this paper, a new system of generalized nonlinear variational inclusions with $(H,\eta)$-monotone operators is introduced and studied in Hilbert spaces. By using the resolvent operators associated with $(H,\eta)$-monotone operators, we construct a new iterative algorithm for approximating the solution of the system of generalized nonlinear variational inclusions, prove the existence of solution of the system of generalized nonlinear variational inclusions and the convergence of the sequence generated by the algorithm. The result presented in this paper extends some known results in the literature.
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참고문헌 (10)
참고문헌 신청
Yeol Je Cho / 2004 / ALGORITHMS FOR SYSTEMS OFNONLINEAR VARIATIONAL INEQUALITIES / 대한수학회지 41(3):489~499
Y. P. Fang / 2005 / A new system of variational inclusions with (H, η)-monotone operators in Hilbert spaces / Comput. Math. Appl 49:365~374
J. K. Kim / 2004 / A new system of generalized nonlinear mixed quasi-variational inequalities in Hilbert spaces / J. Convex Anal 11:235~243
H. Y. Lan / 2007 / On a new system of generalized nonlinear Amonotone mulitivalued variational inclusions / J. Math. Anal. Appl 327:481~493
H. Nie / 2003 / A new system of nonlinear variational inequalities involving strongly monotone and pseudocontrative mappings / Adv. Nonlinear var. Inequal 6:91~99
Y. P. Fang / 2005 / A new system of variational inclusions with (H, η)-monotone operators in Hilbert spaces / Comput. Math. Appl 49:365~374
J. K. Kim / 2004 / A new system of generalized nonlinear mixed quasi-variational inequalities in Hilbert spaces / J. Convex Anal 11:235~243
H. Y. Lan / 2007 / On a new system of generalized nonlinear Amonotone mulitivalued variational inclusions / J. Math. Anal. Appl 327:481~493
H. Nie / 2003 / A new system of nonlinear variational inequalities involving strongly monotone and pseudocontrative mappings / Adv. Nonlinear var. Inequal 6:91~99
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