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Scalarly Compactness, (S)+-Type Conditions, Variational Inequalities and Complementarity Problems in Banach Spaces

In: Optimization and Optimal Control

Author

Listed:
  • George Isac

    (Royal Military College of Canada)

Abstract

Summary We present in this chapter the notion of scalarly compactness which is related to condition $$(S)_+$$ , well known in nonlinear analysis. Some applications to the study of variational inequalities and to complementarity problems are also presented.

Suggested Citation

  • George Isac, 2010. "Scalarly Compactness, (S)+-Type Conditions, Variational Inequalities and Complementarity Problems in Banach Spaces," Springer Optimization and Its Applications, in: Altannar Chinchuluun & Panos M. Pardalos & Rentsen Enkhbat & Ider Tseveendorj (ed.), Optimization and Optimal Control, pages 85-104, Springer.
    • Handle: RePEc:spr:spochp:978-0-387-89496-6_4
    DOI: 10.1007/978-0-387-89496-6_4
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