Mathematical Programming: Series A and B
A nonsmooth version of Newton's method
Mathematical Programming: Series A and B
Convergence analysis of some algorithms for solving nonsmooth equations
Mathematics of Operations Research
Nonlinear complementarity as unconstrained and constrained minimization
Mathematical Programming: Series A and B - Special issue: Festschrift in Honor of Philip Wolfe part II: studies in nonlinear programming
On stationary points of the implicit Lagrangian for nonlinear complementarity problems
Journal of Optimization Theory and Applications
On the resolution of monotone complementarity problems
Computational Optimization and Applications
Nonlinear complementarity as unconstrained optimization
Journal of Optimization Theory and Applications
Equivalence of the generalized complementarity problem to differentiable unconstrained minimization
Journal of Optimization Theory and Applications
A semismooth equation approach to the solution of nonlinear complementarity problems
Mathematical Programming: Series A and B
Solution of monotone complementarity problems with locally Lipschitzian functions
Mathematical Programming: Series A and B - Special issue on computational nonsmooth optimization
On unconstrained and constrained stationary points of the implicit Lagrangian
Journal of Optimization Theory and Applications
Global methods for nonlinear complementarity problems
Mathematics of Operations Research
New constrained optimization reformulation of complementarity problems
Journal of Optimization Theory and Applications
Approximate Jacobian Matrices for Nonsmooth Continuous Maps and C1-Optimization
SIAM Journal on Control and Optimization
A New Class of Semismooth Newton-Type Methods for Nonlinear Complementarity Problems
Computational Optimization and Applications
On Characterizations of P- and P0-Properties in Nonsmooth Functions
Mathematics of Operations Research
On two applications of H-differentiability to optimization and complementarity problems
Computational Optimization and Applications - Special issue on nonsmooth and smoothing methods
A New Merit Function For Nonlinear Complementarity Problems And A Related Algorithm
SIAM Journal on Optimization
On the local uniqueness of solutions of variational inequalities under H-differentiability
Journal of Optimization Theory and Applications
An application of H differentiability to generalized complementarity problems over symmetric cones
Computers & Mathematics with Applications
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This paper deals with nonnegative nonsmooth generalized complementarity problem, denoted by GCP(f,g). Starting with H-differentiable functions f and g, we describe H-differentials of some GCP functions and their merit functions. We show how, under appropriate conditions on H-differentials of f and g, minimizing a merit function corresponding to f and g leads to a solution of the generalized complementarity problem. Moreover, we generalize the concepts of monotonicity, P 0-property and their variants for functions and use them to establish some conditions to get a solution for generalized complementarity problem. Our results are generalizations of such results for nonlinear complementarity problem when the underlying functions are C 1, semismooth, and locally Lipschitzian.