The Journal of the Indian Mathematical Society

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Generalized Duality Mapping


Affiliations
1 AGH University of Science and Technology, Faculty of Applied Mathematics al. Mickiewicza 30, 30-059 Krakow, Poland
2 AGH University of Science and Technology, Faculty of Applied Mathematics al. Mickiewicza 30, 30-059 Krakow, Poland
     

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In this paper we propose a definition of generalized duality mapping, in short g.d.m. This definition is closely related to the classical definition of normalized duality mapping. We explore some properties of g.d.m. such as continuity, surjectivity and injectivity. In the terms of g.d.m. we prove more general results concerning strict convexity.

Keywords

Duality Mapping, Normalized Duality Mapping, Semi-Inner Product, Semi-Inner Product Spaces.
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  • Generalized Duality Mapping

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Authors

Ewa Szlachtowska
AGH University of Science and Technology, Faculty of Applied Mathematics al. Mickiewicza 30, 30-059 Krakow, Poland
Dominik Mielczarek
AGH University of Science and Technology, Faculty of Applied Mathematics al. Mickiewicza 30, 30-059 Krakow, Poland

Abstract


In this paper we propose a definition of generalized duality mapping, in short g.d.m. This definition is closely related to the classical definition of normalized duality mapping. We explore some properties of g.d.m. such as continuity, surjectivity and injectivity. In the terms of g.d.m. we prove more general results concerning strict convexity.

Keywords


Duality Mapping, Normalized Duality Mapping, Semi-Inner Product, Semi-Inner Product Spaces.