By Professor Jeya Jeyakumar

Journal articles

Jeyakumar V; Luc DT, 1999, 'Approximate generalized Hessians and Taylor`s expansions for continuously Gateaux differentiable functions', Nonlinear Analysis - Theory Methods and Applications, pp. 353 - 368

Jeyakumar V; Yang XQ, 1999, 'Approximate Hessian matrices and second-order optimality conditions for nonlinear programming problems with C1-data', Journal of Australian Mathematical Society B, pp. 403 - 420

Glover BM; Rubinov A; Jeyakumar V, 1999, 'Dual conditions characterizing optimality for convex multi-objective programs', Mathematical Programming, pp. 201 - 217

Jeyakumar V; Luc TD, 1999, 'Nonsmooth calculus, minimality, and monotonicity of convexificators 1,2', Journal of Optimization Theory and Applications, 101, pp. 599 - 621

Jeyakumar V; Luc DT, 1998, 'Approximate Jacobian matrices for nonsmooth continuous maps and C1-optimization', SIAM Journal on Control and Optimization, pp. 1815 - 1832

Jeyakumar V; Luc DT; Schaible S, 1998, 'Characterizations of generalized monotone nonsmooth continuous maps using approximate Jocobians', Journal of Convex Analysis, pp. 119 - 132

Jeyakumar V, 1997, 'Asymptotic dual conditions characterizing optimality for infinite convex programs', Journal of Optimization Theory and Applications, pp. 153 - 165

Yang XQ; Jeyakumar V, 1997, 'First and second order optimality conditions for convex composite multiobjective optimization', Journal of Optimization Theory and Applications, pp. 209 - 224

Demyanov VF; Jeyakumar V, 1997, 'Hunting for a smaller convex subdifferential', Journal of Global Optimization, 10, pp. 305 - 326

Jeyakumar V; Zaffaroni A, 1996, 'Asymptotic conditions for weak and proper optimality in infinite dimensional convex vector optimization', Numerical Functional Analysis and Optimization, 17, pp. 323 - 343

Jeyakumar V; Glover BM, 1996, 'Characterizing global optimality for DC optimization problems under convex inequality constraints', Journal of Global Optimization, pp. 171 - 187

Glover BM; Ishizuku Y; Jeyakumar V; Tuan HD, 1996, 'Complete characterizations of global optimality for problems involving the pointwise minimum of sublinear functions', SIAM Journal on Optimization, pp. 362 - 372

Rubinov A; Jeyakumar V; Glover BM, 1996, 'Generalized convex relations with applications to optimization and models of economic dynamics', Set - Valued Analysis, pp. 67 - 89

Jeyakumar V; Rubinov A; Glover BM; Ishizuka Y, 1996, 'Inequality systems and flobal optimization', Journal of Mathematical Analysis and Applications, 202, pp. 900 - 919

Rubinov A; Glover BM; Jeyakumar V, 1995, 'A general approach to dual characterizations of solvability of inequality systems with applications', Journal of Convex Analysis, 2, pp. 309 - 344

Studniarski M; Jeyakumar V, 1995, 'A generalized mean-value theorem and optimality conditions in composite nonsmooth minimization', Nonlinear Analysis - Theory Methods and Applications, pp. 883 - 894

Jeyakumar V; Yang XQ, 1995, 'Convex composite minimization with C1,1 functions', Journal of Optimization Theory and Applications, pp. 631 - 648

Jeyakumar V; Glover BM, 1995, 'Nonlinear extensions of Farkas` lemma with applications to global optimization and least squares', Mathematics of Operations Research, 20, pp. 818 - 837

Jeyakumar V; Yang XQ, 1995, 'On characterizing the solution sets of pseudolinear programs', Journal of Optimization Theory and Applications, pp. 747 - 755

Glover BM; Jeyakumar V; Oettli W, 1994, 'A Farkas lemma for difference sublinear systems and quasidifferentiable programming', Mathematical Programming, 63, pp. 109 - 125, http://dx.doi.org/10.1007/BF01582061

Glover BM; Jeyakumar V; Oettli W, 1994, 'Solvability theorems for classes of difference convex functions', Nonlinear Analysis, 22, pp. 1191 - 1200, http://dx.doi.org/10.1016/0362-546X(94)90104-X

Jeyakumar V; Oettli W, 1994, 'A Nonnegativity Criterion for Biconvex Functions', ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 74, pp. 71 - 72, http://dx.doi.org/10.1002/zamm.19940740120

Jeyakumar V; Oettli W; Natividad M, 1993, 'A Solvability Theorem for a Class of Quasiconvex Mappings with Applications to Optimization', Journal of Mathematical Analysis and Applications, 179, pp. 537 - 546, http://dx.doi.org/10.1006/jmaa.1993.1368

Jeyakumar V; Yang XQ, 1993, 'Convex composite multi-objective nonsmooth programming', Mathematical Programming, Series A, 59, pp. 325 - 343

Jeyakumar V; Yang XQ, 1993, 'Convex composite multi-objective nonsmooth programming', Mathematical Programming, 59, pp. 325 - 343, http://dx.doi.org/10.1007/BF01581251

Gwinner J; Jeyakumar V, 1993, 'A solvability theorem and minimax fractional programming', ZOR Zeitschrift für Operations Research Methods and Models of Operations Research, 37, pp. 1 - 12, http://dx.doi.org/10.1007/BF01415524

Jeyakumar V; Glover BM, 1993, 'A new version of Farkas' lemma and global convex maximization', Applied Mathematics Letters, 6, pp. 39 - 43, http://dx.doi.org/10.1016/0893-9659(93)90097-7

Jeyakumar V, 1992, 'Infinite-dimensional convex programming with applications to constrained approximation', Journal of Optimization Theory and Applications, 75, pp. 569 - 586, http://dx.doi.org/10.1007/BF00940493

Jeyakumar V; Wolkowicz H, 1992, 'Generalizations of Slater's constraint qualification for infinite convex programs', Mathematical Programming, 57, pp. 85 - 101, http://dx.doi.org/10.1007/BF01581074

Yang XQ; Jeyakumar V, 1992, 'Generalized second-order directional derivatives and optimization with C1,1 functions', Optimization, 26, pp. 165 - 185, http://dx.doi.org/10.1080/02331939208843851

Jeyakumar V; Mond B, 1992, 'On generalized convexmathematical programming', Journal of Australian Mathematical Society, 1, pp. 43 - 53

Jeyakumar V; Gwinner J, 1991, 'Inequality systems and optimization', Journal of Mathematical Analysis and Applications, 159, pp. 51 - 71, http://dx.doi.org/10.1016/0022-247X(91)90221-K

Jeyakumar V, 1991, 'Composite Nonsmooth Programming with Gâteaux Differentiability', SIAM Journal on Optimization, 1, pp. 30 - 41, http://dx.doi.org/10.1137/0801004

Jeyakumar V; Wolkowicz H, 1990, 'Zero duality gaps in infinite-dimensional programming', Journal of Optimization Theory and Applications, 67, pp. 87 - 108, http://dx.doi.org/10.1007/BF00939737

Jeyakumar V, 1990, 'Duality and infinite dimensional optimization', Nonlinear Analysis, 15, pp. 1111 - 1122, http://dx.doi.org/10.1016/0362-546X(90)90047-K

WEIR T; JEYAKUMAR V, 1988, 'A CLASS OF NONCONVEX FUNCTIONS AND MATHEMATICAL-PROGRAMMING', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 38, pp. 177 - 189, http://dx.doi.org/10.1017/S0004972700027441

Jeyakumar V, 1988, 'Equivalence of saddle-points and optima, and duality for a class of non-smooth non-convex problems', Journal of Mathematical Analysis and Applications, 130, pp. 334 - 343, http://dx.doi.org/10.1016/0022-247X(88)90309-5

Weir T; Jeyakumar V, 1988, 'A class of nonconvex functions and mathematical programming', Bulletin of the Australian Mathematical Society, 38, pp. 177 - 189, http://dx.doi.org/10.1017/S0004972700027441

Jeyakumar V, 1988, 'Non-convex infinite games', Optimization, 19, pp. 289 - 296, http://dx.doi.org/10.1080/02331938808843344

Jeyakumar V, 1987, 'A general Farkas lemma and characterization of optimality for a nonsmooth program involving convex processes', Journal of Optimization Theory and Applications, 55, pp. 449 - 461, http://dx.doi.org/10.1007/BF00941180

CRAVEN BD; JEYAKUMAR V, 1987, 'ALTERNATIVE AND DUALITY THEOREMS WITH WEAKENED CONVEXITY', UTILITAS MATHEMATICA, 31, pp. 149 - 159, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1987H961200015&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

JEYAKUMAR V, 1987, 'NONDIFFERENTIABLE-PROGRAMMING AND DUALITY WITH MODIFIED CONVEXITY', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 35, pp. 309 - 313, http://dx.doi.org/10.1017/S0004972700013265

Craven BD; Jeyakumar V; Gwinner J, 1987, 'Nonconvex Theorems of the Alternative and Minimization', Optimization, 18, pp. 151 - 163, http://dx.doi.org/10.1080/02331938708843228

Jeyakumar V, 1987, 'On optimality conditions in nonsmooth inequality constrained minimization', Numerical Functional Analysis and Optimization, 9, pp. 535 - 546, http://dx.doi.org/10.1080/01630568708816246

JEYAKUMAR V, 1986, 'RHO-CONVEXITY AND 2ND-ORDER DUALITY', UTILITAS MATHEMATICA, 29, pp. 71 - 85, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1986D106000007&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

Jeyakumar V, 1986, 'A generalization of a minimax theorem of Fan via a theorem of the alternative', Journal of Optimization Theory and Applications, 48, pp. 525 - 533, http://dx.doi.org/10.1007/BF00940575

Craven BD; Jeyakumar V, 1986, 'Equivalence of a Ky Fan type minimax theorem and a Gordan type alternative theorem', Operations Research Letters, 5, pp. 99 - 102, http://dx.doi.org/10.1016/0167-6377(86)90111-2

Jeyakumar V, 1986, 'On subgradient duality with strong and weak convex functions', Journal of the Australian Mathematical Society, 40, pp. 143 - 152, http://dx.doi.org/10.1017/S1446788700027130

Jeyakumar V, 1985, 'Convexlike Alternative Theorems and Mathematical Programming', Optimization, 16, pp. 643 - 652, http://dx.doi.org/10.1080/02331938508843061

Jeyakumar V, 1984, 'Nonlinear alternative theorems and nondifferentiable programming', Zeitschrift für Operations Research, 28, pp. 175 - 187, http://dx.doi.org/10.1007/BF01920919

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