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Some existence results for solutions of generalized vector quasi-equilibrium problems |
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| Authors: | Lai-Jiu Lin Qamrul Hasan Ansari Yu-Jen Huang |
| Institution: | (1) Department of Mathematics, National Changhua University of Education, Changhua, 50058, Taiwan;(2) Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, P. O. Box 1169, Dhahran, 31261, Saudi Arabia;(3) Department of mathematics, Aligarh Muslim University, Aligarh, India |
| 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. |
| Keywords: | Generalized vector quasi-equilibrium problems u-Hemicontinuous ℓ -Hemicontinuous Quasi-equilibrium problem Mixed-variational inequalities Upper (lower) semicontinuity Pseudomonotone maps |
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