Generalized Duality Mapping


Affiliations

  • AGH University of Science and Technology, Faculty of Applied Mathematics al., Krakow, 30-059, Poland
  • AGH University of Science and Technology, Faculty of Applied Mathematics, Krakow, 30-059, 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.

Subject Discipline

Mathematical Sciences

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References

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