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Systems of Vector Quasi-equilibrium Problems and Their Applications

In: Variational Analysis and Generalized Differentiation in Optimization and Control

Author

Listed:
  • Qamrul Hasan Ansari

    (Aligarh Muslim University)

  • Jen-Chih Yao

    (National Sun Yat-Sen University)

Abstract

In this survey chapter, we present systems of various kinds of vector quasi-equilibrium problems and give existence theory for their solutions. Some applications to systems of vector quasi-optimization problems, quasi-saddle point problems for vector-valued functions and Debreu type equilibrium problems, also known as constrained Nash equilibrium problems, for vector-valued functions are presented. The investigations of this chapter are based on our papers: Ansari (J Math Anal Appl 341:1271–1283, 2008); Ansari et al. (J Global Optim 29:45–57, 2004); Ansari and Khan (Mathematical Analysis and Applications, edited by S. Nanda and G.P. Rajasekhar, Narosa, New Delhi, 2004, pp.1–13); and Ansari et al. (J Optim Theory Appl 127:27–44, 2005).

Suggested Citation

  • Qamrul Hasan Ansari & Jen-Chih Yao, 2010. "Systems of Vector Quasi-equilibrium Problems and Their Applications," Springer Optimization and Its Applications, in: Regina S. Burachik & Jen-Chih Yao (ed.), Variational Analysis and Generalized Differentiation in Optimization and Control, pages 1-42, Springer.
    • Handle: RePEc:spr:spochp:978-1-4419-0437-9_1
    DOI: 10.1007/978-1-4419-0437-9_1
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    Cited by:

    1. Gábor Kassay & Mihaela Miholca & Nguyen The Vinh, 2016. "Vector Quasi-Equilibrium Problems for the Sum of Two Multivalued Mappings," Journal of Optimization Theory and Applications, Springer, vol. 169(2), pages 424-442, May.

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