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Weakly efficient solutions and pseudoinvexity in multiobjective control problems |
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| Authors: | Manuel Arana-Jiménez Gabriel Ruiz-Garzón |
| Institution: | a Departamento de Estadística e Investigación Operativa, Universidad de Cádiz, Escuela Superior de Ingeniería, Cádiz, 11002, Spain b Departamento de Estadística e Investigación Operativa, Universidad de Cádiz, Facultad de Ciencias Sociales y de la Comunicación, Campus de Jerez de la Frontera, Cádiz, 11405, Spain c Departamento de Estadística e Investigación Operativa, Facultad de Matemáticas, Universidad de Sevilla, Sevilla, 41012, Spain |
| Abstract: | In this paper, we introduce new pseudoinvexity conditions on functionals involved in a multiobjective control problem, called W-KT-pseudoinvexity and W-FJ-pseudoinvexity. We prove that all Kuhn-Tucker or Fritz-John points are weakly efficient solutions if and only if these conditions are fulfilled. We relate weakly efficient solutions to optimal solutions of weighting control problems. We generalize recently obtained optimality results of known mathematical programming problems and control problems. We illustrate these results with an example. |
| Keywords: | Continuous optimization Multiobjective control problem Pseudoinvexity Kuhn-Tucker and Fritz-John optimality conditions |
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