Optimality and invexity in optimization problems in Banach algebras (spaces). (English) Zbl 1176.90578
Summary: We introduce into nonsmooth optimization theory in Banach algebras a new class of mathematical programming problems, which generalizes the notion of smooth KT-\((p,r)\)-invexity. In fact, this paper focuses on the optimality conditions for optimization problems in Banach algebras, regarding the generalized KT-\((p,r)\)-invexity notion and Kuhn-Tucker points.
MSC:
| 90C30 | Nonlinear programming |
Keywords:
Banach algebra (space); weak\(^{*}\) topology; generalized invexity; nonsmooth optimization; generalized differentiationReferences:
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