 
Summary: Continuous Optimization
On multiobjective second order symmetric duality with cone constraints
I. Ahmad *, Z. Husain 1
Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India
a r t i c l e i n f o
Article history:
Received 10 October 2007
Accepted 24 August 2009
Available online 15 September 2009
Keywords:
Multiobjective programming
Symmetric duality
Minimax
Second order invexity
a b s t r a c t
A pair of Wolfe type multiobjective second order symmetric dual programs with cone constraints is for
mulated and usual duality results are established under second order invexity assumptions. These results
are then used to investigate symmetric duality for minimax version of multiobjective second order sym
metric dual programs wherein some of the primal and dual variables are constrained to belong to some
arbitrary sets, i.e., the sets of integers. This paper points out certain omissions and inconsistencies in the
