Beißner, Patrick; Werner, Jan Optimal allocations with \(\alpha\)-MaxMin utilities, Choquet expected utilities, and prospect theory. (English) Zbl 07751232 Theor. Econ. 18, No. 3, 993-1022 (2023). MSC: 91B16 PDFBibTeX XMLCite \textit{P. Beißner} and \textit{J. Werner}, Theor. Econ. 18, No. 3, 993--1022 (2023; Zbl 07751232) Full Text: DOI OA License
Dolgopolik, Maksim Constrained nonsmooth problems of the calculus of variations. (English) Zbl 1473.49023 ESAIM, Control Optim. Calc. Var. 27, Paper No. 79, 35 p. (2021). MSC: 49K10 49J52 90C48 PDFBibTeX XMLCite \textit{M. Dolgopolik}, ESAIM, Control Optim. Calc. Var. 27, Paper No. 79, 35 p. (2021; Zbl 1473.49023) Full Text: DOI arXiv
Vatolkin, M. Yu. On the eigenfunctions and eigenvalues of a quasidifferential second order boundary value problem. (Russian. English summary) Zbl 1342.34034 Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 2015, No. 2(46), 38-44 (2015). MSC: 34B09 34L10 34L15 34A25 PDFBibTeX XMLCite \textit{M. Yu. Vatolkin}, Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 2015, No. 2(46), 38--44 (2015; Zbl 1342.34034) Full Text: MNR
Uderzo, A. Some dual conditions for global weak sharp minimality of nonconvex functions. (English) Zbl 1295.49011 Numer. Funct. Anal. Optim. 35, No. 7-9, 1258-1285 (2014). MSC: 49J52 49N15 49J53 90C48 PDFBibTeX XMLCite \textit{A. Uderzo}, Numer. Funct. Anal. Optim. 35, No. 7--9, 1258--1285 (2014; Zbl 1295.49011) Full Text: DOI arXiv
Luderer, Bernd; Wagner, Denny Algorithms of quasidifferentiable optimization for the separation of point sets. (English) Zbl 1220.90098 Chinchuluun, Altannar (ed.) et al., Optimization and optimal control. Theory and applications. New York, NY: Springer (ISBN 978-0-387-89495-9/hbk; 978-0-387-89496-6/ebook). Springer Optimization and Its Applications 39, 157-167 (2010). MSC: 90C26 PDFBibTeX XMLCite \textit{B. Luderer} and \textit{D. Wagner}, Springer Optim. Appl. 39, 157--167 (2010; Zbl 1220.90098) Full Text: DOI
Zhao, Wenhui; Gao, Yan; Dai, Tiansheng Second-order optimality conditions for \(C^{1,1}\) semidefinite programming. (English) Zbl 1174.90738 OR Trans. 12, No. 3, 1-12 (2008). MSC: 90C22 90C46 PDFBibTeX XMLCite \textit{W. Zhao} et al., OR Trans. 12, No. 3, 1--12 (2008; Zbl 1174.90738)
Moklyachuk, M. P. Nonsmooth analysis and optimization. Textbook. (Негладкий анализ та оптимізація. Навчальний посібник.) (Ukrainian) Zbl 1224.49001 Kyïv: Vydavnycho-PoligrafichnyĭTsentr, KyïvskyĭUniversytet (ISBN 978-966-439-139-6). 399 p. (2008). Reviewer: Yu. V. Kozachenko (Kyïv) MSC: 49-01 90-01 49J52 46G05 49K27 26B05 90C30 PDFBibTeX XMLCite \textit{M. P. Moklyachuk}, Негладкий анализ та оптимізація. Навчальний посібник (Ukrainian). Kyïv: Vydavnycho-Poligrafichnyĭ\ Tsentr, Kyïvskyĭ\ Universytet (2008; Zbl 1224.49001)
Gao, Y. Newton methods for quasidifferentiable equations and their convergence. (English) Zbl 1120.65069 J. Optim. Theory Appl. 131, No. 3, 417-428 (2006). MSC: 65H10 49J52 90C53 PDFBibTeX XMLCite \textit{Y. Gao}, J. Optim. Theory Appl. 131, No. 3, 417--428 (2006; Zbl 1120.65069) Full Text: DOI
Gao, Y. Differences of polyhedra in matrix space and their applications to nonsmooth analysis. (English) Zbl 1123.49012 J. Optim. Theory Appl. 130, No. 3, 429-440 (2006). MSC: 49J52 49M15 PDFBibTeX XMLCite \textit{Y. Gao}, J. Optim. Theory Appl. 130, No. 3, 429--440 (2006; Zbl 1123.49012) Full Text: DOI
Gao, Yan; Li, Xuewen Nonsmooth equations approach to a constrained minimax problem. (English) Zbl 1099.90075 Appl. Math., Praha 50, No. 2, 115-130 (2005). MSC: 90C47 65H10 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{X. Li}, Appl. Math., Praha 50, No. 2, 115--130 (2005; Zbl 1099.90075) Full Text: DOI EuDML Link
Gao, Yan Representative of quasidifferentials and its formula for a quasidifferentiable function. (English) Zbl 1086.49017 Set-Valued Anal. 13, No. 4, 323-336 (2005). MSC: 49J52 54C60 90C26 PDFBibTeX XMLCite \textit{Y. Gao}, Set-Valued Anal. 13, No. 4, 323--336 (2005; Zbl 1086.49017) Full Text: DOI
Herklotz, Anja; Luderer, Bernd Identification of point sets by quasidifferentiable functions. (English) Zbl 1129.49024 Optimization 54, No. 4-5, 411-420 (2005). Reviewer: Do Van Luu (Hanoi) MSC: 49J52 65K05 90C30 PDFBibTeX XMLCite \textit{A. Herklotz} and \textit{B. Luderer}, Optimization 54, No. 4--5, 411--420 (2005; Zbl 1129.49024) Full Text: DOI
Zhao, Wenhui; Gao, Yan Second-order optimality conditions for a constrained optimization. (English) Zbl 1067.49016 Int. J. Pure Appl. Math. 20, No. 1, 69-80 (2005). MSC: 49J52 90C46 PDFBibTeX XMLCite \textit{W. Zhao} and \textit{Y. Gao}, Int. J. Pure Appl. Math. 20, No. 1, 69--80 (2005; Zbl 1067.49016)
Gao, Y. Representation of the Clarke generalized Jacobian via the quasidifferential. (English) Zbl 1059.49023 J. Optimization Theory Appl. 123, No. 3, 519-532 (2004). MSC: 49J52 26B10 PDFBibTeX XMLCite \textit{Y. Gao}, J. Optim. Theory Appl. 123, No. 3, 519--532 (2004; Zbl 1059.49023) Full Text: DOI
Grzybowski, Jerzy; Urbański, Ryszard On reduced pairs of bounded closed convex sets. (English) Zbl 1046.52001 Rev. Mat. Complut. 16, No. 2, 555-560 (2003). Reviewer: Konrad Swanepoel (Unisa) MSC: 52A07 49J52 PDFBibTeX XMLCite \textit{J. Grzybowski} and \textit{R. Urbański}, Rev. Mat. Complut. 16, No. 2, 555--560 (2003; Zbl 1046.52001) Full Text: EuDML
Luderer, B.; Weigelt, J. A solution method for a special class of nondifferentiable unconstrained optimization problems. (English) Zbl 1047.90064 Comput. Optim. Appl. 24, No. 1, 83-93 (2003). MSC: 90C30 49J52 PDFBibTeX XMLCite \textit{B. Luderer} and \textit{J. Weigelt}, Comput. Optim. Appl. 24, No. 1, 83--93 (2003; Zbl 1047.90064) Full Text: DOI
Grzybowski, J.; Urbański, R. On pairs of closed bounded convex sets that lie in complementary subspaces. (English) Zbl 0971.52001 Hudzik, Henryk (ed.) et al., Function spaces. Proceedings of the 5th international conference, Poznań, Poland, August 28-September 3, 1998. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 213, 165-170 (2000). Reviewer: E.Heil (Darmstadt) MSC: 52A07 PDFBibTeX XMLCite \textit{J. Grzybowski} and \textit{R. Urbański}, Lect. Notes Pure Appl. Math. 213, 165--170 (2000; Zbl 0971.52001)
Gao, Y. Demyanov difference of two sets and optimality conditions of Lagrange multiplier type for constrained quasidifferential optimization. (English) Zbl 1050.90568 J. Optimization Theory Appl. 104, No. 2, 377-394 (2000). MSC: 90C46 49J52 PDFBibTeX XMLCite \textit{Y. Gao}, J. Optim. Theory Appl. 104, No. 2, 377--394 (2000; Zbl 1050.90568) Full Text: DOI
Pallaschke, Diethard; Urbański, Ryszard Invariants of pairs of compact convex sets. (English) Zbl 0952.52001 J. Convex Anal. 6, No. 2, 367-376 (1999). Reviewer: Serguey M.Pokas (Odessa) MSC: 52A07 90C30 PDFBibTeX XMLCite \textit{D. Pallaschke} and \textit{R. Urbański}, J. Convex Anal. 6, No. 2, 367--376 (1999; Zbl 0952.52001) Full Text: EuDML
Urbański, Ryszard Pairs of sets with convex union. (English) Zbl 0919.52004 Collect. Math. 48, No. 4-6, 791-798 (1997). Reviewer: Maria Moszyńska (Warszawa) MSC: 52A07 PDFBibTeX XMLCite \textit{R. Urbański}, Collect. Math. 48, No. 4--6, 791--798 (1997; Zbl 0919.52004) Full Text: EuDML
Pallaschke, Diethard; Urbański, Ryszard Decompositions of compact convex sets. (English) Zbl 0899.52002 J. Convex Anal. 4, No. 2, 333-342 (1997). Reviewer: Juan-E.Martínez-Legaz (Barcelona) MSC: 52A07 52A10 26A27 90C30 PDFBibTeX XMLCite \textit{D. Pallaschke} and \textit{R. Urbański}, J. Convex Anal. 4, No. 2, 333--342 (1997; Zbl 0899.52002) Full Text: EuDML EMIS
Demyanov, V. F.; Aban’kin, A. E. Conically equivalent pairs of convex sets. (English) Zbl 0898.90120 Gritzmann, Peter (ed.) et al., Recent advances in optimization. Proceedings of the 8th French-German conference on Optimization. Trier, Germany, July 21–26, 1996. Berlin: Springer. Lect. Notes Econ. Math. Syst. 452, 19-33 (1997). MSC: 90C30 90C48 PDFBibTeX XMLCite \textit{V. F. Demyanov} and \textit{A. E. Aban'kin}, Lect. Notes Econ. Math. Syst. 452, 19--33 (1997; Zbl 0898.90120)
Pallaschke, D.; Urbańska, W.; Urbański, R. \(C\)-minimal pairs of compact convex sets. (English) Zbl 0886.52002 J. Convex Anal. 4, No. 1, 1-25 (1997). Reviewer: Juan-E.Martínez-Legaz (Barcelona) MSC: 52A07 26B25 90C30 PDFBibTeX XMLCite \textit{D. Pallaschke} et al., J. Convex Anal. 4, No. 1, 1--25 (1997; Zbl 0886.52002) Full Text: EuDML EMIS
Pallaschke, Diethard; Urbański, Ryszard A continuum of minimal pairs of compact convex sets which are not connected by translations. (English) Zbl 0870.52001 J. Convex Anal. 3, No. 1, 83-95 (1996). Reviewer: Juan-E.Martínez-Legaz (Barcelona) MSC: 52A07 26B25 90C26 PDFBibTeX XMLCite \textit{D. Pallaschke} and \textit{R. Urbański}, J. Convex Anal. 3, No. 1, 83--95 (1996; Zbl 0870.52001) Full Text: EuDML EMIS
Urbański, Ryszard On minimal convex pairs of convex compact sets. (English) Zbl 0856.52001 Arch. Math. 67, No. 3, 226-238 (1996). Reviewer: R.Urbański (Poznán) MSC: 52A07 90C30 26A27 PDFBibTeX XMLCite \textit{R. Urbański}, Arch. Math. 67, No. 3, 226--238 (1996; Zbl 0856.52001) Full Text: DOI
Demyanov, V. F. Theorem on an implicit function in quasidifferential calculus. (English) Zbl 0859.49019 J. Math. Sci., New York 78, No. 5, 556-567 (1996). Reviewer: S.Goette (Freiburg i.Br.) MSC: 49J52 26B10 26B05 PDFBibTeX XMLCite \textit{V. F. Demyanov}, J. Math. Sci., New York 78, No. 5, 556--567 (1996; Zbl 0859.49019) Full Text: DOI
Vatolkin, M. Yu.; Derr, V. Ya. On the representation of solutions to a quasidifferential equation. (English. Russian original) Zbl 0856.34018 Russ. Math. 39, No. 10, 25-32 (1995); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1995, No. 10 (401), 27-34 (1995). MSC: 34A25 34L05 PDFBibTeX XMLCite \textit{M. Yu. Vatolkin} and \textit{V. Ya. Derr}, Russ. Math. 39, No. 10, 25--32 (1995; Zbl 0856.34018); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1995, No. 10 (401), 27--34 (1995)
Wiernowolski, Michal A criterion for the minimality of pairs of convex compact sets. (English) Zbl 0828.52005 Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 34, 247-252 (1994). Reviewer: Juan-E.Martínez-Legaz (Barcelona) MSC: 52A20 90C26 PDFBibTeX XMLCite \textit{M. Wiernowolski}, Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 34, 247--252 (1994; Zbl 0828.52005)
Luderer, B.; Weigelt, J. A generalized steepest descent method for continuously subdifferentiable functions. (English) Zbl 0818.90110 Optimization 30, No. 2, 119-135 (1994). MSC: 90C30 49J52 65K05 26A27 PDFBibTeX XMLCite \textit{B. Luderer} and \textit{J. Weigelt}, Optimization 30, No. 2, 119--135 (1994; Zbl 0818.90110) Full Text: DOI
Pallaschke, D.; Urbánski, R. Reduction of quasidifferentials and minimal representations. (English) Zbl 0824.49016 Math. Program. 66, No. 2 (A), 161-180 (1994). Reviewer: V.Pavlenko (Chelyabinsk) MSC: 49J52 52A07 90C48 26A27 PDFBibTeX XMLCite \textit{D. Pallaschke} and \textit{R. Urbánski}, Math. Program. 66, No. 2 (A), 161--180 (1994; Zbl 0824.49016) Full Text: DOI
Pallaschke, Diethard; Urbański, Ryszard Some criteria for the minimality of pairs of compact convex sets. (English) Zbl 0781.49011 Z. Oper. Res. 37, No. 2, 129-150 (1993). Reviewer: D.Pallaschke (Karlsruhe) MSC: 49J52 52A05 PDFBibTeX XMLCite \textit{D. Pallaschke} and \textit{R. Urbański}, Z. Oper. Res. 37, No. 2, 129--150 (1993; Zbl 0781.49011) Full Text: DOI
Luderer, B.; Rösiger, R.; Würker, U. On necessary minimum conditions in quasidifferential calculus: Independence of the specific choice of quasidifferentials. (English) Zbl 0739.49011 Optimization 22, No. 5, 643-660 (1991). Reviewer: J.Thierfelder (Ilmenau) MSC: 49J52 90C30 26B25 PDFBibTeX XMLCite \textit{B. Luderer} et al., Optimization 22, No. 5, 643--660 (1991; Zbl 0739.49011) Full Text: DOI
Kiwiel, Krzysztof C. A method of feasible directions for certain quasidifferentiable inequality constrained minimization problems. (English) Zbl 0756.65090 Control Cybern. 19, No. 1-2, 117-129 (1990). Reviewer: R.H.W.Hoppe (München) MSC: 65K05 90C26 90C30 PDFBibTeX XMLCite \textit{K. C. Kiwiel}, Control Cybern. 19, No. 1--2, 117--129 (1990; Zbl 0756.65090)
Dem’yanov, V. F.; Rubinov, A. M. Quasidifferential calculus. (English) Zbl 0712.49012 Translations Series in Mathematics and Engineering. New York: Optimization Software, Inc., Publications Div. xi, 289 p. (1986). Reviewer: P.D.Loewen MSC: 49J52 49-02 46G05 49K27 PDFBibTeX XMLCite \textit{V. F. Dem'yanov} and \textit{A. M. Rubinov}, Quasidifferential calculus. New York: Optimization Software, Inc., Publications Div. (1986; Zbl 0712.49012)
Kiwiel, K. C. Randomized search directions in descent methods for minimizing certain quasidifferentiable functions. (English) Zbl 0641.90060 Optimization 17, 475-485 (1986). Reviewer: M.Gaviano MSC: 90C25 65K05 PDFBibTeX XMLCite \textit{K. C. Kiwiel}, Optimization 17, 475--485 (1986; Zbl 0641.90060) Full Text: DOI Link
Dem’yanov, V. F.; Polyakova, L. N.; Rubinov, A. M. Nonsmoothness and quasidifferentiability. (English) Zbl 0602.49010 Math. Program. Study 29, 1-19 (1986). Reviewer: M.Studniarski MSC: 49J52 49-02 26B05 49K10 90C30 PDFBibTeX XMLCite \textit{V. F. Dem'yanov} et al., Math. Program. Study 29, 1--19 (1986; Zbl 0602.49010) Full Text: DOI
Demidova, V. A.; Demyanov, V. F. A directional implicit function theorem for quasidifferentiable functions. (English) Zbl 0599.49013 Math. Program. Study 29, 95-107 (1986). Reviewer: M.Vlach MSC: 49J50 26B05 26B10 90C30 PDFBibTeX XMLCite \textit{V. A. Demidova} and \textit{V. F. Demyanov}, Math. Program. Study 29, 95--107 (1986; Zbl 0599.49013) Full Text: DOI
Luderer, Bernd Decomposition in nonconvex programming - results and problems. (English) Zbl 0595.90076 Seminarber., Humboldt-Univ. Berlin, Sekt. Math. 80, 65-74 (1986). MSC: 90C30 49M37 49M27 PDFBibTeX XMLCite \textit{B. Luderer}, Seminarber., Humboldt-Univ. Berlin, Sekt. Math. 80, 65--74 (1986; Zbl 0595.90076)
Demyanov, V. F. (ed.); Dixon, L. C. W. (ed.) Quasidifferential calculus. (English) Zbl 0583.00012 Mathematical Programming Study, 29. A Publication of the Mathematical Programming Society. Amsterdam: North-Holland. IX, 221 p. (1986). MSC: 00Bxx 34-06 PDFBibTeX XML
Nedeva, Tsvetana Application of the quasidifferential calculus for solving systems of equations with unexact data. (Russian. English summary) Zbl 0585.49013 Mathematics and education in mathematics, Proc. 14th Spring Conf., Sunny Beach/Bulg. 1985, 484-489 (1985). MSC: 49K10 49J50 26B05 93B99 93C99 PDFBibTeX XML
Dem’yanov, V. F.; Rubinov, A. M.; Pecherskaya, N. A.; Daugavet, V. A.; Malozemov, V. N.; Palyaeva, V. N.; Nikulina, V. N.; Shablinskaya, I. R.; Sivtsova, V. K.; Vinogradova, T. K.; Belova, Z. I.; Timoshina, I. R.; Myshkov, S. K.; Karelin, V. V.; Vojton, E. F. Nonsmooth problems of the theory of optimization and control. (Negladkie zadachi teorii optimizatsii i upravleniya). (Russian) Zbl 0547.49001 Leningrad: ”Izdatel’stvo Leningradskogo Universiteta”. 323 p. R. 1.80 (1982). MSC: 49-01 26B05 49K35 28A15 41A50 49K10 90C30 93C05 93B30 PDFBibTeX XML