New class of generalized set-valued implicit variational inclusions in Banach spaces with an application

Computers and Mathematics with Applications

Volumn 41, Issue 7-8, 2001, Pages 937-943

  Huang, Nan Jing ^a  

^a SICHUAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; MATHEMATICAL OPERATORS; PROBLEM SOLVING; VARIATIONAL TECHNIQUES;

BANACH SPACES;

SET THEORY;

EID: 0035313522     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(00)00331-X     Document Type: Article

References (14)

1. Hassouni A., Moudafi A. A perturbed algorithm for variational inclusions. J. Math. Anal. Appl. 185:1994;706-712.
2. Huang N.-J. Generalized nonlinear variational inclusions with noncompact valued mapping. Appl. Math. Lett. 9:((3)):1996;25-29.
3. Huang N.-J. Mann and Ishikawa type perturbed iterative algorithms for generalized nonlinear implicit quasi-variational inclusions. Computers Math. Applic. 35:((10)):1998;1-7.
4. Huang N.-J. A new completely general class of variational inclusions with noncompact valued mappings. Computers Math. Applic. 35:((10)):1998;9-14.
5. Huang N.-J. Generalized nonlinear implicit quasivariational inclusion and an application to implicit variational inequalities. Z. Angw. Math. Mech. 79:1999;569-575.
6. Kazmi K.R. Mann and Ishikawa type perturbed iterative algorithms for generalized quasi-variational inclusions. J. Math. Anal. Appl. 209:1997;572-584.
7. Uko L.U. Strongly nonlinear generalized equations. J. Math. Anal. Appl. 220:1998;65-76.
8. Yuan X.Z. KKM Theory and Applications in Nonlinear Analysis. 1999;Marcel Dekker.
9. Nadler S.B. Multi-valued contraction mappings. Pacific J. Math. 30:1969;475-488.
10. Petryshyn W.V. A characterization of strictly convexity of Banach spaces and other uses of duality mappings. J. Func. Anal. 6:1970;282-291.
11. Barbu V. Nonlinear Semigroups and Differential Equations in Banach Spaces. 1979;Leyden, Noordhaff.
12. Deimling K. Nonlinear Functional Analysis. 1985;Springer-Verlag, Berlin.
13. Morales C.H. Surjectivity theorems for multi-valued mappings of accretive type. Comment. Math. Univ. Carol. 26:1985;397-413.
14. Taa A. The maximality of the sum of the monotone operators in Banach space and an application to hemivariational inequalities. J. Math. Anal. Appl. 204:1996;693-700.