After a survey of the main definitions of generalized convex and generalized invex vector functions, some other broad classes of generalized invex vector functions are introduced, both in the differentiable case and in the nonsmooth case. With reference to the said functions we extend some results of weak efficiency, efficiency and duality.
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Xidian Univ, Dept Math, Xian 710071, Peoples R China
Yangtze Normal Univ, Coll Math & Comp, Fuling 408100, Peoples R ChinaXidian Univ, Dept Math, Xian 710071, Peoples R China
Jiao, Hehua
Liu, Sanyang
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Xidian Univ, Dept Math, Xian 710071, Peoples R ChinaXidian Univ, Dept Math, Xian 710071, Peoples R China
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N CAROLINA STATE UNIV,DEPT STAT & GRAD,PROGRAM OPERAT RES,RALEIGH,NC 27695N CAROLINA STATE UNIV,DEPT STAT & GRAD,PROGRAM OPERAT RES,RALEIGH,NC 27695
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King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran, Saudi ArabiaKing Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran, Saudi Arabia
Al-Homidan, Suliman
Ansari, Qamrul Hasan
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King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran, Saudi Arabia
Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, IndiaKing Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran, Saudi Arabia