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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2009.1
- 수록면
- 141 - 146 (6page)
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In this paper, we introduce a new generalized nonlinear quasivariational inequality and establish its equivalence with a fixed point problem by using the resolvent operator technique. Utilizing this equivalence, we suggest two iterative schemes, prove two existence theorems of solutions for the generalized nonlinear quasivariational inequality involving generalized cocoercive mapping and establish some convergence results of the sequences generated by the algorithms. Our results include several previously known results as special cases.
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참고문헌 (15)
참고문헌 신청
A. H. Siddiqi / 1992 / General strongly nonlinear variational inequalities / J. Math. Anal. Appl 166 : 386 ~ 392
H. Brezis / 1973 / Operateurs Maximaux Monotone et Semigoups de Contractions dans les Espaces de Hilbert
J. C. Yao / 1991 / Applications of variational inequalities to nonlinear analysis / Appl. Math. Lett 4 : 89 ~ 92
L. S. Liu / 1995 / Ishikawa and Mann Iterative process with errors for nonlinear strongly accretive mappings in Banach spaces / J. Math. Anal. Appl 194 : 114 ~ 125
M. R. Bai / 1999 / Generalized implicit quasivariational inequalities with relaxed Lipschitz and relaxed monotone mappings / Appl. Math. Lett 12 : 69 ~ 76
H. Brezis / 1973 / Operateurs Maximaux Monotone et Semigoups de Contractions dans les Espaces de Hilbert
J. C. Yao / 1991 / Applications of variational inequalities to nonlinear analysis / Appl. Math. Lett 4 : 89 ~ 92
L. S. Liu / 1995 / Ishikawa and Mann Iterative process with errors for nonlinear strongly accretive mappings in Banach spaces / J. Math. Anal. Appl 194 : 114 ~ 125
M. R. Bai / 1999 / Generalized implicit quasivariational inequalities with relaxed Lipschitz and relaxed monotone mappings / Appl. Math. Lett 12 : 69 ~ 76
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