. "Rocky Mountain Journal of Mathematics" . . . "Characterization of strict convexity for locally Lipschitz functions" . "Strict convexity.; Convexity; Regular functions; Locally Lipschitz functions; Generalized second-order derivative"@en . . "Pastor, Karel" . "The first goal of this paper is improving of our previous result (Nonlinear Anal. TMA 57 (2004), 85-97),i.e., the characterization of convexity for regularly locally Lipschitz functions by means of the second-order upper (Dini) directional derivative. Using the (Dini) type of generalized second-order directional derivative, we also provide the characterization of strict convexity for locally Lipschitz functions. As application of this characterization, we can obtain the second-order sufficient optimality condition introduced by R.~Cominetti and R.~Correa."@en . . "The first goal of this paper is improving of our previous result (Nonlinear Anal. TMA 57 (2004), 85-97),i.e., the characterization of convexity for regularly locally Lipschitz functions by means of the second-order upper (Dini) directional derivative. Using the (Dini) type of generalized second-order directional derivative, we also provide the characterization of strict convexity for locally Lipschitz functions. As application of this characterization, we can obtain the second-order sufficient optimality condition introduced by R.~Cominetti and R.~Correa." . "15310" . . "6" . . . . "RIV/61989592:15310/09:10212597" . "1"^^ . "39" . . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "Characterization of strict convexity for locally Lipschitz functions" . "1"^^ . "0035-7596" . . . "[B23DBACC5EA0]" . "RIV/61989592:15310/09:10212597!RIV11-MSM-15310___" . "306796" . . "Characterization of strict convexity for locally Lipschitz functions"@en . "21"^^ . "000273523500016" . . "Characterization of strict convexity for locally Lipschitz functions"@en . . . . "Z(MSM6198959214)" .