论文信息 - A nonlinear complementarity problem in mathematical programming in Banach space

A nonlinear complementarity problem in mathematical programming in Banach space

An existence and uniqueness theorem for the nonlinear complementarity problem over closed convex cones in a reflexive real Banach space is established, using perturbations of solutions of variational inequalities and monotonicity methods.

[1] Tosio Kato. Demicontinuity, hemicontinuity and monotonicity. II , 1964 .

[2] S. Karamardian. The nonlinear complementarity problem with applications, part 2 , 1969 .

[3] S. Karamardian. The nonlinear complementarity problem with applications, part 1 , 1969 .

[4] U. Mosco. Convergence of convex sets and of solutions of variational inequalities , 1969 .

[5] G. Minty,et al. ON A "MONOTONICITY" METHOD FOR THE SOLUTION OF NONLINEAR EQUATIONS IN BANACH SPACES. , 1963, Proceedings of the National Academy of Sciences of the United States of America.