The Study of Abstract Economies, System of Generalized Vector Quasi-Equilibrium Problems and Optimization Problems
碩士 === 國立彰化師範大學 === 數學系 === 91 === In this paper, we apply Himmelberg''s fixed point theorem to establish existence theorems of equilibria for generalized abstract economies in which strategic spaces may not be compact and the set of players may not be countable. We apply our res-...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
2003
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| Online Access: | http://ndltd.ncl.edu.tw/handle/83876535062785024795 |
| Summary: | 碩士 === 國立彰化師範大學 === 數學系 === 91 === In this paper, we apply Himmelberg''s fixed point theorem to establish existence theorems of equilibria for generalized abstract economies in which strategic spaces may not be compact and the set of players may not be countable. We apply our res-
ults to establish general existence theorems of maximal elements and to establish existence theorems of system of generalized vector quasi-equilibrium problems from which we derive existence theorems of system of generalized vector quasi-variational and quasi-variational-like inequality problems and system of vector quasi-optimization problems.
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