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Hybrid inclusion and disclusion systems with applications to equilibria and parametric optimization

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Abstract

In this paper, we first establish the existence theorems of the solution of hybrid inclusion and disclusion systems, from which we study mixed types of systems of generalized quasivariational inclusion and disclusion problems and systems of generalized vector quasiequilibrium problems. Some applications of existence theorems to feasible points for various mathematical programs with variational constraints or equilibrium constraints, system of vector saddle point and system of minimax theorem are also given.

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Authors and Affiliations

  1. Department of Mathematics, National Kaohsiung Normal University, Kaohsiung, 802, Taiwan

    Wei-Shih Du

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  1. Wei-Shih Du
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Correspondence to Wei-Shih Du.

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This research was supported by the National Science Council of the Republic of China.

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Du, WS. Hybrid inclusion and disclusion systems with applications to equilibria and parametric optimization. J Glob Optim 47, 119–132 (2010). https://doi.org/10.1007/s10898-009-9461-8

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  • DOI: https://doi.org/10.1007/s10898-009-9461-8

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