Pallaschke, Diethard Quasi-differentiable functions in non-differentiable optimization theory. (English) Zbl 0658.49008 Advances in mathematical optimization, Pap. Dedic. F. Nožička Occas. 70. Birthday, Math. Res. 45, 137-141 (1988). [For the entire collection see Zbl 0649.00015.] The concept of quasi-differentiable function is introduced. Relations between quasi-differentiability and Fréchet-differentiability are discussed. A modified steepest descent algorithm, which uses the quasi- differential is described. This algorithm enables us to solve one class of quasi-differentiable optimization problems considered in the further part of the paper. Another application to the solution of the so called continuous set covering problem is mentioned. Reviewer: K.Zimmermann MSC: 49J52 Nonsmooth analysis 26B05 Continuity and differentiation questions 90C30 Nonlinear programming 49J50 Fréchet and Gateaux differentiability in optimization Keywords:quasi-differentiable function; Fréchet-differentiability; modified steepest descent algorithm; continuous set covering problem Citations:Zbl 0649.00015 PDFBibTeX XML