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Some existence results for solutions of generalized vector quasi-equilibrium problems

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Abstract

In this paper, we consider more general forms of generalized vector quasi-equilibrium problems for multivalued maps which include many known vector quasi-equilibrium problems and generalized vector quasi-variational inequality problems as special cases. We establish some existence results for solutions of these problems under pseudomonotonicity and u-hemicontinuity/ℓ-hemicontinuity assumptions.

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Authors and Affiliations

  1. Department of Mathematics, National Changhua University of Education, Changhua, 50058, Taiwan

    Lai-Jiu Lin & Yu-Jen Huang

  2. Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, P. O. Box 1169, Dhahran, 31261, Saudi Arabia

    Qamrul Hasan Ansari

  3. Department of mathematics, Aligarh Muslim University, Aligarh, India

    Qamrul Hasan Ansari

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  1. Lai-Jiu Lin
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  2. Qamrul Hasan Ansari
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  3. Yu-Jen Huang
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Correspondence to Lai-Jiu Lin.

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Lin, LJ., Ansari, Q.H. & Huang, YJ. Some existence results for solutions of generalized vector quasi-equilibrium problems. Math Meth Oper Res 65, 85–98 (2007). https://doi.org/10.1007/s00186-006-0102-4

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  • DOI: https://doi.org/10.1007/s00186-006-0102-4

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