Open Access
Issue |
ITM Web Conf.
Volume 24, 2019
AMCSE 2018 - International Conference on Applied Mathematics, Computational Science and Systems Engineering
|
|
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Article Number | 01002 | |
Number of page(s) | 12 | |
Section | Communications-Systems-Signal Processing | |
DOI | https://doi.org/10.1051/itmconf/20192401002 | |
Published online | 01 February 2019 |
- T. Antczak, N. Abdulaleem: E-optimality conditions and Wolfe E-duality for E-differentiable vector optimization problems with inequality and equality constraints, accepted for publication in Journal of Nonlinear Sciences and Applications, 2018. [Google Scholar]
- T. Antczak, (p, r)-invex sets and functions, Journal of Mathematical Analysis and Applications, 263(2), (2001) 355–379. [CrossRef] [Google Scholar]
- T. Antczak, A class of B − (p, r)-invex functions and mathematical programming, Journal of Mathematical Analysis and Applications, 286(1), (2003) 187–206. [CrossRef] [Google Scholar]
- T. Antczak, B − (p, r)-pre-invex functions, Folia Mathematica Acta Universitatis Lodziensis, 11, (2004) 3–15. [Google Scholar]
- T. Antczak, r-preinvexity and r-invexity in mathematical programming, Computers & Mathematics with Applications, 50(3-4), (2005) 551–566. [CrossRef] [Google Scholar]
- A. Ben-Israel, B. Mond, What is invexity?, Journal of the Australian Mathematical Society, 28(1), (1986) 1–9. [CrossRef] [MathSciNet] [Google Scholar]
- D. Bhatia, A. Sharma, New-invexity type conditions with applications to constrained dynamic games, European Journal of Operational Research, 148(1), (2003) 48–55. [CrossRef] [Google Scholar]
- B. D. Craven, Invex functions and constrained local minima, Bulletin of the Australian Mathematical Society 24(3), (1981) 357–366. [Google Scholar]
- B. D. Craven and B.M. Glover: Invex functions and duality, Journal of the Australian Mathematical Society 39(1), (1985) 1–20. [CrossRef] [MathSciNet] [Google Scholar]
- M. A. Hanson, B. Mond, Further generalizations of convexity in mathematical programming, Journal of Information and Optimization Sciences, 3(1), (1982) 25–32. [CrossRef] [Google Scholar]
- M. A. Hanson, B. Mond, Necessary and sufficient conditions in constrained optimization, Mathematical programming, 37(1), (1987) 51–58. [CrossRef] [Google Scholar]
- M. A. Hanson, On sufficiency of the Kuhn-Tucker conditions, Journal of Mathematical Analysis and Applications, 80(2), (1981) 545–550. [Google Scholar]
- V. Jeyakumar, B. Mond, On generalised convex mathematical programming, The Anziam Journal, 34(1), (1992) 43–53. [Google Scholar]
- V. Jeyakumar, Strong and weak invexity in mathematical programming, Mathematical Methods of Operations Research, 55, (1985) 109–125. [Google Scholar]
- R. N. Kaul, S. K. Suneja, and Srivastava M. K., Optimality criteria and duality in multiple-objective optimization involving generalized invexity, Journal of Optimization Theory and Applications, 80(3), (1994) 465–482. [CrossRef] [Google Scholar]
- Luo, Zhiming, Some properties of semi-E-preinvex maps in Banach spaces, Nonlinear Analysis: Real World Applications, 12(2), (2011) 1243–1249. [CrossRef] [Google Scholar]
- J. G. Lin, Maximal vectors and multi-objective optimization, Journal of Optimization Theory and Applications, 18(1), (1976) 41–64. [CrossRef] [Google Scholar]
- O. L. Mangasarian, Nonlinear programming, Society for Industrial and Applied Mathematics, 1994. [Google Scholar]
- A. A. Megahed, H. G. Gomma, E. A. Youness, A. Z. El-Banna, Optimality conditions of E-convex programming for an E-differentiable function, Journal of Inequalities and Applications, 2013(1), (2013) 246. [CrossRef] [Google Scholar]
- S. Mititelu, I. M. Stancu-Minasian, Invexity at a point: generalisations and classifications, Bulletin of the Australian Mathematical Society, 48(1), (1993) 117–126. [CrossRef] [Google Scholar]
- S. R. Mohan, S. K. Neogy, On invex sets and preinvex functions, Journal of Mathematical Analysis and Applications, 189(3), (1995) 901–908. [CrossRef] [MathSciNet] [Google Scholar]
- S. K. Suneja, S. Khurana, Generalized nonsmooth invexity over cones in vector optimization, European Journal of Operational Research, 186(1), (2008) 28–40. [CrossRef] [Google Scholar]
- T. Weir, B. Mond, Preinvex functions in multiple objective optimization, Journal of Mathematical Analysis and Applications, 136(1), (1988) 29–38. [CrossRef] [MathSciNet] [Google Scholar]
- E. A. Youness, E-convex sets, E-convex functions and E-convex programming, Journal of Optimization Theory and Applications, 102(2), (1999) 439–450. [Google Scholar]
- X. M. Yang, On E-convex sets, E-convex functions and E-convex programming, Journal of Optimization Theory and Applications, 109(3), (2001) 699–704. [CrossRef] [Google Scholar]
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