Coercive and Noncoercive Mixed Generalized Complementarity Problems

Abstract

Impressed with the very recent developments of noncoercive complementarity problems and the use of recession sets in complementarity problems, here, we discuss mixed generalized complementarity problems in Hausdorff topological vector spaces. We used the Tikhonov regularization procedure, as well as arguments from the recession analysis, to establish the existence of solutions for mixed generalized complementarity problems without coercivity assumptions in Banach spaces.

Keywords

• complementarity problem
• Tikhonov regularization procedure
• copositive mapping
• recession function
• recession cone
• variational inequality