Approximate Hessian matrices and second-order optimality conditions for nonlinear programming problems with C1-data
V. Jeyakumar, X. Wang · ANZIAM Journal · 1999
Abstract In this paper, we present generalizations of the Jacobian matrix and the Hessian matrix to continuous maps and continuously differentiable functions respectively. We then establish second-order optimality conditions for mathematical programming problems with continuously differentiable functions. The results also sharpen the corresponding results for problems involving C1.1-functions.