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282. A Subgradient Methods for general invex non-smooth vector optimization problems.

Contributed abstract in session TC-41: Subgradient-based methods, stream Nonsmooth Optimization.

Tuesday, 12:30-14:00
Room: 97 (building: 306)

Authors (first author is the speaker)

1. ARUNIMA KUMARI
Mathematics, Bhgwan Parshuram Institute of Technology

Abstract

Vector Optimization problems have a wide range of applications in various fields, like economics, decision theory, game theory, information theory and optimal control theory. In this paper, unlike the general scalarization techniques, a sub gradient method without a scalarization approach is proposed for minimizing a non-differentiable invex function which works directly with vector valued functions. The proposed method includes regularization and the interior points variants of Newton's Method. The proposed algorithm generates a sequence of efficient points in the interior of epigraph of objective function which satisfy Karush-Kuhn-Tucker conditions.

Keywords

Status: accepted


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