Multi-Criteria Optimization Problems with Non-Smooth Functions
non smooth function, multi-criteria optimization, optimality condition
Abstract
In this paper, we deal with non-smooth multi criteria optimization problem. Throughout the text we consider the functions which are non-differentiable. A few special derivatives have been deployed to obtain first order optimality conditions. We presented the generalized form of optimality conditions for multi-objective optimization problem when classical derivatives failed to apply. We illustrate these optimality conditions by means of suitable examples.
Downloads
How to Cite
References
G. Bigi (2003) Optimality and Lagrangian Ph.D.
F. Clarke (1983) Optimization and Nonsmooth Analysis. 109, 431-435.
X. Yang, V. Jeyakumar (1992) Generalized second-order directional derivatives and optimization with C 1,1 functions. 43, 339-351.
L. Kuntz, S. Scholtes (1994) A Nonsmooth Variant of the Mangasarian. 100, 417-433.
L. Kuntz, S. Scholtes (1993) Constraint qualifications in quasidifferentiable optimization. 60(1-3), 339-347. https://doi.org/10.1007/bf01580618
P. Laurent (1972) Approximation et Optimization.
New York.
Giancarlo Bigi, Marco Castellani (2000) Second Order Optimality Conditions for Differentiable Multiobjective Problems, RAIRO. 34(4), 411-426. https://doi.org/10.1051/ro:2000122
Mokhtar Bazaraa, Hanif Sherali, C. Shetty (1993) Nonlinear programming (Second Edition). https://doi.org/10.1002/0471787779
Published
2016-06-16
Issue
Section
License
Copyright (c) 2016 Authors and Global Journals Private Limited
This work is licensed under a Creative Commons Attribution 4.0 International License.