Nonlinear variational inequalities on convex subsets of banach spaces

Applied Mathematics Letters

Volumn 10, Issue 4, 1997, Pages 25-27

  Verma, R U ^a,b  

^a International Publications   (United States)

^b Istituto per la Ricerca di Base   (Italy)

Author keywords

Nonlinear variational inequality problems; p Lipschitz type; p monotone type

Indexed keywords

EID: 0013212719     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(97)00054-2     Document Type: Article

References (8)

1. F.E. Browder, Nonlinear monotone operators and convex sets in Banach spaces, Bull. Amer. Math. Soc. 71, 780-785, (1965).
2. D. Goeleven and D. Motreanu, Eigenvalue and dynamic problems for variational and hemivarational inequalities, Commun. Appl. Nonlinear Anal. (to appear).
3. R. Glowinski, Numerical Methods for Nonlinear Variational Problems, Springer-Verlag, New York, (1984).
4. R. Glowinski, J.L. Lions and R. Tremolieres, Numerical Analysis of Variational Inequalities, North-Holland, Amsterdam, (1981).
5. D. Kinderlehrer and G. Stampacchia, An Introduction to Variational Inequalities and Their Applications, Academic Press, New York, (1980).
6. A. Szulkin, Positive solutions of varational inequalities: A degree-theoretic approach, J. Diff. Eqn. 57, 90-111, (1985).
7. R.U. Verma, Nonlinear variational and constrained hemivarational inequalities involving relaxed operators, ZAMM 77 (5), 387-391, (1997).
8. J.C. Yao, Applications of variational inequalities to nonlinear analysis, Appl. Math. Lett. 4 (4), 89-92, (1991).