摘要
In this paper,we explore a class of interval-valued programming problem where constraints are interval-valued and infinite.Necessary optimality conditions are derived.Notion of generalized(Φ,ρ)−invexity is utilized to establish sufficient optimality conditions.Further,two duals,namely Wolfe and Mond–Weir,are proposed for which duality results are proved.
基金
Bharti Sharma was supported by Council of Scientific and Industrial Research,Senior Research Fellowship,India(No.09/045(1350)/2014-EMR-1)
Jyoti Dagar was supported by University Grant Commission Non-NET research fellowship,India(No.Non-NET/139/Ext-136/2014).