본문 바로가기
KERD
논문KCI 등재

NONDIFFERENTIABLE SECOND-ORDER MINIMAX MIXED INTEGER SYMMETRIC DUALITY

Tilak Raj Gulati|Shiv Kumar Gupta
대한수학회 (The Korean Mathematical Society)|2011.01|대한수학회지 (Journal of the KMS)|제48권 제1호|pp. 13-21

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

nonlinear programmingsymmetric dualityminimax programmingself-dualityη-bonvexity
주제분류수학

초록

In this paper, a pair of Wolfe type nondifferentiable second order symmetric minimax mixed integer dual problems is formulated. Symmetric and self-duality theorems are established under η1/η2-boncavity assumptions. Several known results are obtained as special cases. Examples of such primal and dual problems are also given.

Abstract

In this paper, a pair of Wolfe type nondifferentiable second order symmetric minimax mixed integer dual problems is formulated. Symmetric and self-duality theorems are established under η1/η2-boncavity assumptions. Several known results are obtained as special cases. Examples of such primal and dual problems are also given.

참고문헌 (13)

  1. I. Ahmad, "On symmetric duality in nondifferentiable mathematical programming with F-convexity", Journal of Applied Mathematics and Informatics, 19(1-2), pp.371~384 (2005), 한국전산응용수학회
  2. E. Balas, "Minimax and duality for linear and nonlinear mixed-integer programming, Integer and nonlinear programming", pp.385~418 (1970)
  3. M. S. Bazaraa, "On symmetric duality in nonlinear programming", Op- erations Res, 21, pp.1~9 (1973)
  4. S. Chandra, "Non-differentiable symmetric duality in minimax integer pro- gramming", Opsearch, 34(4), pp.232~241 (1997)
  5. G. B. Dantzig, "Symmetric dual nonlinear programs", Pacic J. Math, 15, pp.809~812 (1965)
  6. W. S. Dorn, "A symmetric dual theorem for quadratic programming", Journal of Opera- tional Research Society, 2, pp.93~97 (1960)
  7. T. R. Gulati, "Wolfe type second-order symmetric duality in nondiffer- entiable programming", J. Math. Anal. Appl, 310(1), pp.247~253 (2005)
  8. M. A. Hanson, "Second order invexity and duality in mathematical programming", Opsearch, 30, pp.313~320 (1993)
  9. S. H. Hou, "On second-order symmetric duality in nondifferentiable programming", J. Math. Anal. Appl, 255(2), pp.491~498 (2001)
  10. O. L. Mangasarian, "Second- and higher-order duality in nonlinear programming", J. Math. Anal. Appl, 51(3), pp.607~620 (1975)
  11. S. K. Mishra, "Second order symmetric duality in mathematical programming with F- convexity", European J. Oper. Res, 127(3), pp.507~518 (2000)
  12. B. Mond, "Second order duality for nonlinear programs", Opsearch, 11(2), pp.90~99 (1974)
  13. X. M. Yang, "Non-differentiable second order symmetric duality in mathematical programming with F-convexity", European J. Oper. Res, 144(3), pp.554~559 (2003)

관련 논문AI추천

Second-order univex functions and generalized duality models for multiobjective programming problems containing arbitrary normsG. J. Zalmai대한수학회 · 대한수학회지2013 · 제50권 제4호Nondierentiable multiobjective higher-order duality relations for unified type dual models under type-I functionsLakshmi Narayan Mishra, Ramu Dubey장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제3호OPTIMALITY CONDITIONS AND DUALITY FOR SEMI-INFINITE PROGRAMMING INVOLVING SEMILOCALLY TYPE I-PREINVEX AND RELATED FUNCTIONSBader Al Shamary, Monika Jaiswal, Shashi Kant Mishra대한수학회 · 대한수학회논문집2012 · 제27권 제2호ON SUFFICIENCY AND DUALITY FOR FRACTIONAL ROBUST OPTIMIZATION PROBLEMS INVOLVING (V, ρ)-INVEX FUNCTION김귀수, 김문희영남수학회 · East Asian Mathematical Journal2016 · 제32권 제5호Optimality Conditions and Duality in Fractional Robust Optimization Problems김귀수, 김문희영남수학회 · East Asian Mathematical Journal2015 · 제31권 제3호ON SUFFICIENCY AND DUALITY FOR ROBUST OPTIMIZATION PROBLEMS INVOLVING (V, ρ)-INVEX FUNCTIONS김귀수, 김문희영남수학회 · East Asian Mathematical Journal2017 · 제33권 제3호

이 간행물의 다른 논문 (15건)

Algebras with pseudo-Riemannian bilinear formsZhiqi Chen, Ke Liang, Fuhai Zhupp. 1-12ON RIEMANNIAN MANIFOLDS OF CONSTANT NEGATIVE CURVATUREReza Mirzaiepp. 23-31SINGULAR CASE OF GENERALIZED FIBONACCI AND LUCAS MATRICESPredrag Stanimirovi, Marko Miladinovicpp. 33-48*_Noetherian domains and the ring D[X]_N* , II장규환pp. 49-61METRIC FOLIATIONS ON HYPERBOLIC SPACES이경배, 이승훈pp. 63-82
원문 보기