Saddle-point type optimality criteria, duality and a new approach for solving nonsmooth fractional continuous-time programming problems | Zendy

Aleksandar Jović | Zendy

Open Access

Saddle-point type optimality criteria, duality and a new approach for solving nonsmooth fractional continuous-time programming problems

Author(s) -

Aleksandar Jović

Publication year - 2022

Publication title -

journal of industrial and management optimization

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.325

H-Index - 32

eISSN - 1553-166X

pISSN - 1547-5816

DOI - 10.3934/jimo.2022025

Subject(s) - saddle point , fractional programming , duality (order theory) , mathematics , saddle , type (biology) , mathematical optimization , point (geometry) , nonlinear programming , discrete mathematics , nonlinear system , ecology , physics , geometry , quantum mechanics , biology

In this paper, fractional continuous-time programming problems with inequality phase constraints are considered. Optimality conditions and duality results under a certain regularity condition are derived. All functions are assumed to be nondifferentiable. These results improve and generalize a number of existing results in the area of fractional continuous-time programming. We provide a practical example to illustrate our results.

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