Well-posedness for general parametric quasi-variational inclusion problems |
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| Authors: | Rabian Wangkeeree Lam Quoc Anh Panatda Boonman |
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| Institution: | 1. Faculty of Science, Department of Mathematics, Naresuan University, Phitsanulok, Thailand.;2. Faculty of Science, Center of Excellent in Nonlinear Analysis and Optimization, Naresuan University, Phitsanulok, Thailand.rabianw@nu.ac.th;4. Department of Mathematics, Teacher College, Cantho University, Cantho, Vietnam. |
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| Abstract: | In this paper, we aim to suggest the new concept of well-posedness for the general parametric quasi-variational inclusion problems (QVIP). The corresponding concepts of well-posedness in the generalized sense are also introduced and investigated for QVIP. Some metric characterizations of well-posedness for QVIP are given. We prove that under suitable conditions, the well-posedness is equivalent to the existence of uniqueness of solutions. As applications, we obtain immediately some results of well-posedness for the parametric quasi-variational inclusion problems, parametric vector quasi-equilibrium problems and parametric quasi-equilibrium problems. |
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| Keywords: | General parametric quasi-variational inclusion problem well-posedness approximating solution sequence metric characterization |
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