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

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Optimization and Optimal Control

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 39))

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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.

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Authors and Affiliations

  1. Department of Mathematics, Royal Military College of Canada, P.O. Box 17000, STN Forces Kingston, Ontario, K7K 7B4, Canada

    George Isac

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  1. George Isac
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Correspondence to George Isac .

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Editors and Affiliations

  1. South Kensington Campus, London, SW7 2AZ, United Kingdom

    Altannar Chinchuluun

  2. Dept. Industrial & Systems, Engineering, University of Florida, Weil Hall 303, Gainesville, 32611-6595, Florida, USA

    Panos M. Pardalos

  3. The School of Economic Studies, Dept.of Mathematics & Computer Science, National University of Mongolia, Ulaanbaatar, 210646, Mongolia

    Rentsen Enkhbat

  4. Labo. PRISM, Université Versailles, av. des Etats-Unis 45, Versailles CX, 78035, France

    Ider Tseveendorj

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Isac, G. (2010). Scalarly Compactness, (S)+-Type Conditions, Variational Inequalities and Complementarity Problems in Banach Spaces. In: Chinchuluun, ., Pardalos, P., Enkhbat, R., Tseveendorj, I. (eds) Optimization and Optimal Control. Springer Optimization and Its Applications(), vol 39. Springer, New York, NY. https://doi.org/10.1007/978-0-387-89496-6_4

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