메뉴 건너뛰기




Volumn 286, Issue 1, 2003, Pages 187-206

A class of B-(p, r)-invex functions and mathematical programming

Author keywords

B (p,r) invex function with respect to and b; Duality; Mathematical programming; Saddle point

Indexed keywords


EID: 0142056108     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(03)00469-4     Document Type: Article
Times cited : (48)

References (13)
  • 1
    • 0035891482 scopus 로고    scopus 로고
    • (p, r)-invex sets and functions
    • T. Antczak, (p, r)-invex sets and functions, J. Math. Anal. Appl. 263 (2001) 355-379.
    • (2001) J. Math. Anal. Appl. , vol.263 , pp. 355-379
    • Antczak, T.1
  • 2
    • 0041457349 scopus 로고    scopus 로고
    • r-pre-invexity and r-invexity in mathematical programming
    • in preparation
    • T. Antczak, r-pre-invexity and r-invexity in mathematical programming, in preparation.
    • Antczak, T.1
  • 3
    • 85030959006 scopus 로고    scopus 로고
    • Note on B-(p, r)-pre-invex functions
    • in preparation
    • T. Antczak, Note on B-(p, r)-pre-invex functions, in preparation.
    • Antczak, T.1
  • 4
    • 84890245567 scopus 로고
    • Nonlinear Programming: Theory and Algorithms
    • Wiley, New York
    • M.S. Bazaraa, H.D. Sherali, C.M. Shetty, Nonlinear Programming: Theory and Algorithms, Wiley, New York, 1991.
    • (1991)
    • Bazaraa, M.S.1    Sherali, H.D.2    Shetty, C.M.3
  • 5
    • 0027557877 scopus 로고
    • Generalized B-vex functions and generalized B-vex programming
    • C.R. Bector, S.K. Suneja, C.S. Lalitha, Generalized B-vex functions and generalized B-vex programming, J. Optim. Theory Appl. 76 (1993) 561-576.
    • (1993) J. Optim. Theory Appl. , vol.76 , pp. 561-576
    • Bector, C.R.1    Suneja, S.K.2    Lalitha, C.S.3
  • 7
    • 84971124250 scopus 로고
    • Invex functions and constrained local minima
    • B.D. Craven, Invex functions and constrained local minima, Bull. Austral. Math. Soc. 24 (1981) 357-366.
    • (1981) Bull. Austral. Math. Soc. , vol.24 , pp. 357-366
    • Craven, B.D.1
  • 8
    • 49149139478 scopus 로고
    • On sufficiency of the Kuhn-Tucker conditions
    • M.A. Hanson, On sufficiency of the Kuhn-Tucker conditions, J. Math. Anal. Appl. 80 (1981) 545-550.
    • (1981) J. Math. Anal. Appl. , vol.80 , pp. 545-550
    • Hanson, M.A.1
  • 9
    • 0023295307 scopus 로고
    • Necessary and sufficient conditions in constrained optimization
    • M.A. Hanson, B. Mond, Necessary and sufficient conditions in constrained optimization, Math. Programming 37 (1987) 51-58.
    • (1987) Math. Programming , vol.37 , pp. 51-58
    • Hanson, M.A.1    Mond, B.2
  • 10
    • 0001120919 scopus 로고
    • Equivalence of saddle-points and optima, and duality for a class of non-smooth non-convex problems
    • V. Jeyakumar, Equivalence of saddle-points and optima, and duality for a class of non-smooth non-convex problems, J. Math. Anal. Appl. 130 (1988) 334-343.
    • (1988) J. Math. Anal. Appl. , vol.130 , pp. 334-343
    • Jeyakumar, V.1
  • 11
    • 0003775298 scopus 로고
    • Nonlinear Programming
    • McGraw-Hill, New York
    • O.L. Mangasarian, Nonlinear Programming, McGraw-Hill, New York, 1969.
    • (1969)
    • Mangasarian, O.L.1
  • 12
    • 0003150019 scopus 로고
    • Generalized concavity and duality
    • S. Schaible, W.T. Ziemba (Eds.), Academic Press, New York
    • B. Mond, T. Weir, Generalized concavity and duality, in: S. Schaible, W.T. Ziemba (Eds.), Generalized Concavity in Optimization and Economics, Academic Press, New York, 1981, pp. 263-279.
    • (1981) Generalized Concavity in Optimization and Economics , pp. 263-279
    • Mond, B.1    Weir, T.2
  • 13
    • 45449123764 scopus 로고
    • Optimality criteria in mathematical programming involving generalized invexity
    • N.G. Rueda, M.A. Hanson, Optimality criteria in mathematical programming involving generalized invexity, J. Math. Anal. Appl. 130 (1988) 375-385.
    • (1988) J. Math. Anal. Appl. , vol.130 , pp. 375-385
    • Rueda, N.G.1    Hanson, M.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.