Nonlinear Programming Problems Associated with Closed Range Operators |
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| Authors: | S Aizicovici D Motreanu N H Pavel |
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| Institution: | (1) Department of Mathematics, Ohio University, Athens, OH 45701, USA , US;(2) Department of Mathematics, University of Iaşi, Ro-6600 Iaşi, Romania , RO |
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| Abstract: | Necessary conditions for the optimality of a pair with respect to a locally Lipschitz cost functional L(y,u) , subject to Ay + F(y) = Cu + B(u) , are given in terms of generalized gradients. Here A and C are densely defined, closed, linear operators on some Banach spaces, while F and B are (Fréchet) differentiable maps, which are suitably related to A and C . Various examples and potential applications to nonlinear programming models and nonlinear optimal control of partial differential
equations are also discussed.
Accepted 18 March 1998 |
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| Keywords: | , Optimality conditions, Closed range operators, Tangent cones, Clarke's generalized gradients, Wave operator, AMS,,,,,Classification, Primary 49K27, 49K30, Secondary 47A62, 47H15, |
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