THE LAGRANGE MULTIPLIERS FOR CONVEX VECTOR FUNCTIONS IN BANACH SPACES

Authors

  • Vu Anh Tuan Martin-Luther-University Halle-Wittenberg, Institute of Mathematics,
  • Thanh Tam Le University of Transport and Communications
  • Christiane Tammer Martin-Luther-University Halle-Wittenberg, Institute of Mathematics,

Keywords:

Lagrange multiplier, cone-convex function, Lipschitz function, (weak) Pareto min- imal poin, (, e)-Pareto minimal point, nonlinear scalarizing functional, oriented distance function, subdifferential

Abstract

This paper is devoted to vector-valued optimization problems in Banach spaces whose objective functions are cone-convex and the feasible sets are not assumed to be convex. By means of a well-known nonlinear scalarizing function and the oriented distance function, we derive optimality conditions for weak Pareto solutions and (, e)-Pareto solutions in terms of abstract subdifferentials and the Clarke subdifferential

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Published

2023-04-12

How to Cite

Tuan, V. A., Tam Le, T., & Tammer, C. (2023). THE LAGRANGE MULTIPLIERS FOR CONVEX VECTOR FUNCTIONS IN BANACH SPACES. Investigación Operacional, 39(3). Retrieved from https://revistas.uh.cu/invoperacional/article/view/3970

Issue

Vol. 39 No. 3 (2018): SPECIAL ISSUE ON VARIATIONAL ANALYSIS ON HOMAGE TO THE 70TH ANNIVERSARY OF BORIS MURDUKHOVICH

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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