@incollection{,
	
					
					
					FA4A6E3189CCF531DEB76842942E11F8
				,
	author={{L. V.Reddy} and {bhavanarisatyannarayana} and {Sree Vidyanikethan Engineering College,Tirupathi.}},
	journal={{Global Journal of Computer Science and Technology}},
	journal={{GJCST}}0975-41720975-435010.34257/gjcst,
	address={Cambridge, United States},
	publisher={Global Journals Organisation}1411316
}

@incollection{b0,
	
	
		,
	title={{Mathematical programs with complementarity constraints: stationary, optimality, and sensitivity}}
		,
	author={{
			HSScheel
		} and {
			SScholtes
		}}
		
	
	
		,
	journal={{Math. Oper. Res}}
		
			25
			
			,
	year={2000}
		
	

}

@incollection{b1,
	
	
		,
	title={{Constraint qualifications and necessary optimality conditions for optimization problems with variational inequality constraints}}
		,
	author={{
			JJYe
		}}
	
	
		,
	journal={{SIAM J. Optim}}
		
			10
			
			,
	year={2000}
		
	

}

@incollection{b2,
	
	
		,
	title={{Necessary and sufficient optimality conditions for mathematical programs with equilibrium constraints}}
		,
	author={{
			JJYe
		}}
	
	
		,
	journal={{J. Math. Anal. Appl}}
		
			307
			
			,
	year={2005}
		
	

}

@incollection{b3,
	
	
		,
	title={{Optimality conditions for optimization problems with complementarity constraints}}
		,
	author={{
			JJYe
		}}
	
	
		,
	journal={{SIAM J.Optim}}
		
			9
			
			,
	year={1999}
		
	

}

@incollection{b4,
	
	
		,
	title={{Necessary optimality conditions for optimization problems with variational inequality constraints}}
		,
	author={{
			JJYe
		} and {
			XYYe
		}}
		
	
	
		,
	journal={{Math. Oper. Res}}
		
			22
			
			,
	year={1997}
		
	

}

@incollection{b5,
	
	
		,
	title={{Local convergence of SQP methods for mathematical programs with equilibrium constraints}}
		,
	author={{
			RFletcher
		} and {
			SLeyffer
		} and {
			DRalph
		} and {
			SScholtes
		}}
		
		
		
	
	
		,
	journal={{SIAM J. Optim}}
		
			17
			
			,
	year={2006}
		
	

}

@incollection{b6,
	
	
		,
	title={{Stability analysis for parametric mathematical programs with geometric constraints and its applications}}
		,
	author={{
			LGuo
		} and {
			GHLin
		} and {
			JJYe
		}}
		
		
	
	
		,
	journal={{SIAM J. Optim}}
		
			22
			
			,
	year={2012}
		
	

}

@incollection{b7,
	
	
		,
	title={{Convergence of a penalty method for mathematical programming with equilibrium constraints}}
		,
	author={{
			XMHu
		} and {
			DRalph
		}}
		
	
	
		,
	journal={{J. Optim. Theory Appl}}
		
			123
			
			,
	year={2004}
		
	

}

@incollection{b8,
	
	
		,
	title={{An active-set Newton method for mathematical programs with complementarity constraints}}
		,
	author={{
			AFIzmailov
		} and {
			MVSolodov
		}}
		
	
	
		,
	journal={{SIAM J. Optim}}
		
			19
			
			,
	year={2008}
		
	

}

@book{b9,
	
	
		,
	title={{Optimization and Nonsmooth Analysis}}
		,
	author={{
			FHClarke
		}}
		
			,
	year={1983}
			,
	publisher={Wiley-Interscience}
			,
	address={New York}
		
	

}

@book{b10,
	
	
		,
	title={{Nonlinear Programming: Sequential Unconstrained Minimization Techniques}}
		,
	author={{
			AVFiacco
		} and {
			GPMccormick
		}}
		
		
			,
	year={1968}
			,
	publisher={Wiley}
			,
	address={New York}
		
	

}

@incollection{b11,
	
	
		,
	title={{Two new weak constraint qualification and applications}}
		,
	author={{
			RAndreani
		} and {
			GHaeser
		} and {
			MLSchuverdt
		} and {
			JSSilva
		}}
		
		
		
	
	
		,
	journal={{SIAM J. Optim}}
		
			22
			
			,
	year={2012}
		
	

}

@incollection{b12,
	
	
		,
	title={{Perturbations of extremum problems with constraints and necessary optimality conditions}}
		,
	author={{
			AVArutyunov
		}}
	
	
		,
	journal={{J. Sov. Math}}
		
			54
			
			,
	year={1991}
		
	

}

@incollection{b13,
	
	
		,
	title={{Degenerate nonlinear programming with a quadratic growth condition}}
		,
	author={{
			MAnitescu
		}}
	
	
		,
	journal={{SIAM J. Optim}}
		
			10
			
			,
	year={2000}
		
	

}

@incollection{b14,
	
	
		,
	title={{Calmness and exact penalization}}
		,
	author={{
			JVBurke
		}}
	
	
		,
	journal={{SIAM J. Control Optim}}
		
			29
			
			,
	year={1991}
		
	

}

@incollection{b15,
	
	
		,
	title={{Generalized Kuhn-Tucker conditions for mathematical programs in a Banach space}}
		,
	author={{
			MGuignard
		}}
	
	
		,
	journal={{SIAM J. Control}}
		
			7
			
			,
	year={1969}
		
	

}

@incollection{b16,
	
	
		,
	title={{Generalized equations and their solution, part II: applications to nonlinear programming}}
		,
	author={{
			SMRobinson
		}}
	
	
		,
	journal={{Math. Program. Stud}}
		
			19
			
			,
	year={1982}
		
	

}

@incollection{b17,
	
	
		,
	title={{On the Guignard constraint qualification for mathematical programs with equilibrium constraints}}
		,
	author={{
			MLFlegel
		} and {
			CKanzow
		}}
		
	
	
		,
	journal={{Optimization}}
		
			54
			
			,
	year={2005}
		
	

}

@incollection{b18,
	
	
		,
	title={{Exact Penalization And Necessary Optimality Conditions For Generalized Bilevel Programming Problems}}
		,
	author={{
			JJYe
		} and {
			DLZhu
		} and {
			QJZhu
		}}
		
		
	
	
		,
	journal={{SIAM Journal of Optimization}}
		
			7
			2
			
			,
	year={May 1997}
		
	

}

@incollection{b19,
	
	
		,
	title={{Ye Second-Order Optimality Conditions for Mathematical Programs with Equilibrium Constraints}}
		,
	author={{
			LeiGuo
		} and {
			?Gui-Hua Lin ? Jane
		} and {
			J
		}}
		
		
	
	
		,
	journal={{J. Optim. Theory Appl}}
		
			158
			
			,
	year={2013}
		
	

}

@book{b20,
	
	
		,
	author={{
			OLMangasarian
		}}
		,
	title={{Non-linear Programming}}
				Wiley, New York
		
			,
	year={1969}
		
	

}