Feasibility-Solvability Theorem for a Generalized System |
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| Authors: | R Hu Y P Fang |
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| Institution: | (1) Department of Mathematics and Informatics, Chengdu University of Information Technology, Chengdu, Sichuan, People’s Republic of China;(2) Department of Mathematics, Sichuan University, Chengdu, Sichuan, People’s Republic of China |
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| Abstract: | In this paper, we consider a generalized system in the framework of the formulation proposed by Blum and Oettli. The concepts
of feasibility and strict feasibility are introduced for a generalized system and a feasibility-solvability theorem is obtained.
This work was supported by the Foundation for Young Teacher in Sichuan University (07069), the National Natural Science Foundation
of China (10826064, 10671135) and the Specialized Research Fund for the Doctoral Program of Higher Education (20060610005).
The authors thank Professor L.D. Muu (Hanoi) and the referee for valuable comments and suggestions which lead to improvements
of this paper. |
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| Keywords: | Generalized systems Strict feasibility Solvability Monotonicity |
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