Conditions (S)+ and (S)+1: Applications to Complementarity Theory

作者: George Isac

DOI: 10.1007/978-1-4757-3141-5_9

关键词:

摘要: If we consider, the solvability of complementarity problems in infinite-dimensional case, observe that compactness or complete continuity operators used definition many must be imposed as assumption.

参考文章(23)
M. S. Gowda, G. Isac, Operators of class $(S)^1_{+}$, Altman's condition and the complementarity problem Journal of the Faculty of Science. University of Tokyo. Section IA. Mathematics. ,vol. 40, pp. 1- 16 ,(1993)
弘之 福田, A fixed point theorem in Hilbert space 香川大学教育学部研究報告 第2部. ,vol. 32, pp. 1- 3 ,(1982)
G Isac, Nonlinear complementarity problem and Galerkin method Journal of Mathematical Analysis and Applications. ,vol. 108, pp. 563- 574 ,(1985) , 10.1016/0022-247X(85)90045-9
P. Cubiotti, J.-C. Yao, Multivalued (S)1+ operators and generalized variational inequalities Computers & Mathematics With Applications. ,vol. 29, pp. 49- 56 ,(1995) , 10.1016/0898-1221(95)00057-6
Felix E. Browder, Fixed point theory and nonlinear problems Bulletin of the American Mathematical Society. ,vol. 9, pp. 1- 39 ,(1983) , 10.1090/S0273-0979-1983-15153-4
Kunquan Lan, Jeffrey Webb, Variational Inequalities and Fixed Point Theorems for PM-Maps Journal of Mathematical Analysis and Applications. ,vol. 224, pp. 102- 116 ,(1998) , 10.1006/JMAA.1998.5988
Felix E. Browder, Nonlinear eigenvalue problems and Galerkin approximations Bulletin of the American Mathematical Society. ,vol. 74, pp. 651- 656 ,(1968) , 10.1090/S0002-9904-1968-11979-2
G. Isac, On An Altman Type Fixed Point Theorem on Convex Cones Rocky Mountain Journal of Mathematics. ,vol. 25, pp. 701- 714 ,(1995) , 10.1216/RMJM/1181072244