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Second-order symmetric duality with cone constraints |
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| Authors: | T.R. Gulati S.K. Gupta I. Ahmad |
| Affiliation: | aDepartment of Mathematics, Indian Institute of Technology, Roorkee 247 667, India;bSchool of Mathematics and Computer Applications, Thapar University, Patiala 147 004, India;cDepartment of Mathematics, Aligarh Muslim University, Aligarh 202 002, India |
| Abstract: | Wolfe and Mond–Weir type second-order symmetric duals are formulated and appropriate duality theorems are established under η-bonvexity/η-pseudobonvexity assumptions. This formulation removes several omissions in an earlier second-order primal dual pair introduced by Devi [Symmetric duality for nonlinear programming problems involving η-bonvex functions, European J. Oper. Res. 104 (1998) 615–621]. |
| Keywords: | Nonlinear programming Second-order symmetric duality mml4" > text-decoration:none color:black" href=" /science?_ob=MathURL&_method=retrieve&_udi=B6TYH-4PMJK13-2&_mathId=mml4&_user=10&_cdi=5619&_rdoc=29&_acct=C000053510&_version=1&_userid=1524097&md5=978c92da57f94bbdaf94638d839c19f5" title=" Click to view the MathML source" alt=" Click to view the MathML source" >η -Bonvexity Cones |
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