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Zbl 1190.90212
Lin, Lai-Jiu
Variational inclusions problems with applications to Ekeland's variational principle, fixed point and optimization problems. (English)
[J] J. Glob. Optim. 39, No. 4, 509-527 (2007). ISSN 0925-5001; ISSN 1573-2916/e

Summary: We prove the existence theorems of two types of systems of variational inclusions problem. From these existence results, we establish Ekeland's variational principle on topological vector space, existence theorems of common fixed point, existence theorems for the semi-infinite problems, mathematical programs with fixed points and equilibrium constraints, and vector mathematical programs with variational inclusions constraints.

MSC 2000:: *90C30 Nonlinear programming
90C33 Complementarity problems
65K10 Optimization techniques (numerical methods)

Keywords: Ekeland's variational principle; Systems of variational inclusions problem; Semi-infinite problem; Mathematical programs with variational inclusions constraints; Common fixed point; Upper (lower) semi-continuous multivalued map

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