English, Article edition: CONE CONVEX AND RELATED FUNCTIONS IN OPTIMIZATION OVER TOPOLOGICAL VECTOR SPACES S. K. SUNEJA; MEETU BHATIA

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Physical Description
  • article
Language
  • English

Edition details

Title
  • CONE CONVEX AND RELATED FUNCTIONS IN OPTIMIZATION OVER TOPOLOGICAL VECTOR SPACES
Author
  • S. K. SUNEJA
  • MEETU BHATIA
Physical Description
  • article
Notes
  • In this paper cone convex and related functions have been studied. The concept of cone semistrictly convex functions on topological vector spaces is introduced as a generalization of semistrictly convex functions. Certain properties of these functions have been established and their interrelations with cone convex and cone subconvex functions have been explored. Assuming the functions to be cone subconvex, sufficient optimality conditions are proved for a vector valued minimization problem over topological vector spaces, involving Gâteaux derivatives. A Mond-Weir type dual is associated and weak and strong duality results are proved.
  • Vector optimization, topological vector spaces, cones, cone convex functions, optimality, duality
  • RePEc:wsi:apjorx:v:24:y:2007:i:06:p:741-754
Language
  • English
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