Proper minimal points of nonconvex sets in Banach spaces in terms of the limiting normal cone
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DOI: 10.1080/02331934.2017.1289528
Abstract: Abstract In this paper, proper minimal elements of a given nonconvex set in a real ordered Banach space are defined utilizing the limiting (Mordukhovich) normal cone. The newly defined points are called limiting proper minimal… read more here.
Keywords: minimal points; normal cone; lpm points; proper minimal ... See more keywords
A Comparison of Normal Cone Conditions for Homotopy Methods for Solving Inequality Constrained Nonlinear Programming Problems
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DOI: 10.1155/2020/5483587
Abstract: Homotopy methods are powerful tools for solving nonlinear programming. Their global convergence can be generally established under conditions of the nonemptiness and boundness of the interior of the feasible set, the Positive Linear Independent Constraint… read more here.
Keywords: homotopy methods; normal cone; nonlinear programming; cone conditions ... See more keywords