Semistrictly and neatly quasiconvex programming using lower global subdifferentials

[1]  Felipe Lara,et al.  An extension of the proximal point algorithm beyond convexity , 2021, J. Glob. Optim..

[2]  Alireza Kabgani,et al.  Characterization of Nonsmooth Quasiconvex Functions and their Greenberg–Pierskalla’s Subdifferentials Using Semi-Quasidifferentiability notion , 2021, Journal of Optimization Theory and Applications.

[3]  Nicolas Hadjisavvas,et al.  Characterizing quasiconvexity of the pointwise infimum of a family of arbitrary translations of quasiconvex functions, with applications to sums and quasiconvex optimization , 2021, Mathematical Programming.

[4]  F. Lara,et al.  On global subdifferentials with applications in nonsmooth optimization , 2021 .

[5]  Satoshi Suzuki,et al.  Karush–Kuhn–Tucker type optimality condition for quasiconvex programming in terms of Greenberg–Pierskalla subdifferential , 2020, J. Glob. Optim..

[6]  Felipe Lara,et al.  Optimality Conditions for Nonconvex Nonsmooth Optimization via Global Derivatives , 2020, J. Optim. Theory Appl..

[7]  Nader Kanzi,et al.  Characterization of the weakly efficient solutions in nonsmooth quasiconvex multiobjective optimization , 2020, J. Glob. Optim..

[8]  Suliman Al-Homidan,et al.  Approximation of quasiconvex functions by neatly quasiconvex functions , 2020, Optim. Lett..

[9]  A. Iusem,et al.  The q-asymptotic function in c-convex analysis , 2019 .

[10]  Stephen P. Boyd,et al.  Disciplined quasiconvex programming , 2019, Optimization Letters.

[11]  Kazuhiro Hishinuma,et al.  Fixed point quasiconvex subgradient method , 2018, Eur. J. Oper. Res..

[12]  Suliman Al-Homidan,et al.  Transformation of Quasiconvex Functions to Eliminate Local Minima , 2018, J. Optim. Theory Appl..

[13]  M. Soleimani-damaneh,et al.  Relationships Between Convexificators and Greenberg–Pierskalla Subdifferentials for Quasiconvex Functions , 2017 .

[14]  C. S. Lalitha,et al.  Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization , 2013 .

[15]  F. Giannessi Variational Analysis and Generalized Differentiation , 2006 .

[16]  B. Mordukhovich Variational Analysis and Generalized Differentiation II: Applications , 2006 .

[17]  J. Penot,et al.  Characterization of Solution Sets of Quasiconvex Programs , 2003 .

[18]  Joydeep Dutta,et al.  Convexifactors, Generalized Convexity, and Optimality Conditions , 2002 .

[19]  Nicolas Hadjisavvas,et al.  An Appropriate Subdifferential for Quasiconvex Functions , 2002, SIAM J. Optim..

[20]  J. Penot What is quasiconvex analysis? , 2000 .

[21]  Vaithilingam Jeyakumar,et al.  Nonsmooth Calculus, Minimality, and Monotonicity of Convexificators , 1999 .

[22]  J. Hiriart-Urruty,et al.  Convex analysis and minimization algorithms , 1993 .

[23]  R. Rockafellar Generalized Directional Derivatives and Subgradients of Nonconvex Functions , 1980, Canadian Journal of Mathematics.

[24]  G. Ewing Sufficient Conditions for Global Minima of Suitably Convex Functionals from Variational and Control Theory , 1977 .

[25]  B. N. Pshenichnyi Necessary Conditions for an Extremum , 1971 .

[26]  S. Karamardian,et al.  Strictly quasi-convex (concave) functions and duality in mathematical programming , 1967 .

[27]  A. Cambini,et al.  Generalized Convexity and Optimization , 2009 .

[28]  Hanif D. Sherali,et al.  Nonlinear Programming - Theory and Algorithms, Third Edition , 2005 .

[29]  Siegfried Schaible,et al.  Handbook of Generalized Convexity and Generalized Monotonicity , 2005 .

[30]  Juan Enrique Martínez-Legaz,et al.  Generalized Convex Duality and its Economic Applicatons , 2005 .

[31]  J. Penot Are Generalized Derivatives Sseful for Generalized Convex Functions , 1998 .

[32]  Yu. S. Ledyaev,et al.  Nonsmooth analysis and control theory , 1998 .