6 resultados para KT-invexity

em Bulgarian Digital Mathematics Library at IMI-BAS


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The fast development and wide application of digital methods, combined with broadened access to the Internet and falling computing costs, have created intense interest in electronic presentation and access to cultural and scientific heritage resources. Information technologies have offered cultural institutions new opportunities for the presentation of their holdings, which are now made accessible not only to the specialists, but also to the citizens and interested parties worldwide. The paper presents an overview of the Bulgarian experience in the field of digital preservation and access and on-going work on the project “Knowledge Transfer for the Digitisation of Scientific and Cultural Heritage to Bulgaria” (MTKD-CT-2004-509754) supported by the Marie Curie programme of the FP6 of the EC.

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First order characterizations of pseudoconvex functions are investigated in terms of generalized directional derivatives. A connection with the invexity is analysed. Well-known first order characterizations of the solution sets of pseudolinear programs are generalized to the case of pseudoconvex programs. The concepts of pseudoconvexity and invexity do not depend on a single definition of the generalized directional derivative.

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* This publication is partially supported by the KT-DigiCult-Bg project.

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* The research presented here is partially supported by the project KT-DigiCult-Bg (FP6) and by the ICT Agency in Bulgaria.

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The Faculty of Mathematics and Informatics (FMI) of Sofia University “St. Kliment Ohridski” is briefly presented as an educational and research institution. The possible contribution of FMI to KT-DigiCULT-BG project is analyzed.

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This paper is a survey of results obtained by the authors on the geometry of connections with totally skew-symmetric torsion on the following manifolds: almost complex manifolds with Norden metric, almost contact manifolds with B-metric and almost hypercomplex manifolds with Hermitian and anti-Hermitian metric.