Dempe, S.; Gadhi, N.; El idrissi, M. Optimality conditions in terms of convexificators for a bilevel multiobjective optimization problem. (English) Zbl 07271719 Optimization 69, No. 7-8, 1811-1830 (2020). MSC: 90C29 90C26 90C70 49K99 PDF BibTeX XML Cite \textit{S. Dempe} et al., Optimization 69, No. 7--8, 1811--1830 (2020; Zbl 07271719) Full Text: DOI
Gadhi, Nazih Abderrazzak; El Idrissi, Mohammed; Hamdaoui, Khadija Necessary optimality conditions for a semivectorial bilevel optimization problem using the kth-objective weighted-constraint approach. (English) Zbl 07239390 Positivity 24, No. 4, 1111-1134 (2020). MSC: 90C29 90C26 90C70 49K99 PDF BibTeX XML Cite \textit{N. A. Gadhi} et al., Positivity 24, No. 4, 1111--1134 (2020; Zbl 07239390) Full Text: DOI
Gadhi, N.; Dempe, S.; El Idrissi, M. New optimality conditions for bilevel programs by using an exact separation principle. (English) Zbl 07238345 Optim. Lett. 14, No. 6, 1381-1392 (2020). MSC: 90C46 90C30 PDF BibTeX XML Cite \textit{N. Gadhi} et al., Optim. Lett. 14, No. 6, 1381--1392 (2020; Zbl 07238345) Full Text: DOI
Dempe, Stephan; Gadhi, Nazih Abderrazzak; Hamdaoui, Khadija Minimizing the difference of two quasiconvex functions over a vector-valued quasiconvex system. (English) Zbl 07201637 Optimization 69, No. 5, 997-1012 (2020). MSC: 90C26 90C46 49K99 PDF BibTeX XML Cite \textit{S. Dempe} et al., Optimization 69, No. 5, 997--1012 (2020; Zbl 07201637) Full Text: DOI
Gadhi, N.; Hamdaoui, K.; El Idrissi, M. Sufficient optimality conditions and duality results for a bilevel multiobjective optimization problem via a \(\Psi\) reformulation. (English) Zbl 1433.90151 Optimization 69, No. 4, 681-702 (2020). MSC: 90C29 90C46 49J52 PDF BibTeX XML Cite \textit{N. Gadhi} et al., Optimization 69, No. 4, 681--702 (2020; Zbl 1433.90151) Full Text: DOI
Gadhi, Nazih Abderrazzak Necessary optimality conditions for a nonsmooth semi-infinite programming problem. (English) Zbl 07069298 J. Glob. Optim. 74, No. 1, 161-168 (2019). MSC: 90C29 90C26 90C70 49K99 PDF BibTeX XML Cite \textit{N. A. Gadhi}, J. Glob. Optim. 74, No. 1, 161--168 (2019; Zbl 07069298) Full Text: DOI
Gadhi, Nazih Abderrazzak; Dempe, Stephan Sufficient optimality conditions for a bilevel semivectorial D.C. problem. (English) Zbl 1431.90140 Numer. Funct. Anal. Optim. 39, No. 15, 1622-1634 (2018). Reviewer: Frank Werner (Magdeburg) MSC: 90C29 49K99 PDF BibTeX XML Cite \textit{N. A. Gadhi} and \textit{S. Dempe}, Numer. Funct. Anal. Optim. 39, No. 15, 1622--1634 (2018; Zbl 1431.90140) Full Text: DOI
Lafhim, L.; Gadhi, N.; Hamdaoui, K.; Rahou, F. Necessary optimality conditions for a bilevel multiobjective programming problem via a \(\Psi\)-reformulation. (English) Zbl 1427.90251 Optimization 67, No. 12, 2179-2189 (2018). MSC: 90C29 PDF BibTeX XML Cite \textit{L. Lafhim} et al., Optimization 67, No. 12, 2179--2189 (2018; Zbl 1427.90251) Full Text: DOI
Gadhi, N.; El Idrissi, M. An equivalent one level optimization problem to a semivectorial bilevel problem. (English) Zbl 06861663 Positivity 22, No. 1, 261-274 (2018). MSC: 90C29 90C26 90C70 49K99 PDF BibTeX XML Cite \textit{N. Gadhi} and \textit{M. El Idrissi}, Positivity 22, No. 1, 261--274 (2018; Zbl 06861663) Full Text: DOI
Dempe, S.; Gadhi, N. Optimality conditions for bilevel vector optimization problems with a variable ordering structure. (English) Zbl 1407.90284 Numer. Funct. Anal. Optim. 38, No. 8, 988-1007 (2017). MSC: 90C29 90C26 90C70 49K99 PDF BibTeX XML Cite \textit{S. Dempe} and \textit{N. Gadhi}, Numer. Funct. Anal. Optim. 38, No. 8, 988--1007 (2017; Zbl 1407.90284) Full Text: DOI
Dempe, S.; Gadhi, N. A new equivalent single-level problem for bilevel problems. (English) Zbl 1291.90216 Optimization 63, No. 5, 789-798 (2014). MSC: 90C29 90C26 90C70 49K99 PDF BibTeX XML Cite \textit{S. Dempe} and \textit{N. Gadhi}, Optimization 63, No. 5, 789--798 (2014; Zbl 1291.90216) Full Text: DOI
Gadhi, N.; Jawhar, A. Necessary optimality conditions for a set-valued fractional extremal programming problem under inclusion constraints. (English) Zbl 1300.90042 J. Glob. Optim. 56, No. 2, 489-501 (2013). MSC: 90C29 90C32 49K99 PDF BibTeX XML Cite \textit{N. Gadhi} and \textit{A. Jawhar}, J. Glob. Optim. 56, No. 2, 489--501 (2013; Zbl 1300.90042) Full Text: DOI
Dempe, S.; Gadhi, N.; Zemkoho, A. B. New optimality conditions for the semivectorial bilevel optimization problem. (English) Zbl 1266.90160 J. Optim. Theory Appl. 157, No. 1, 54-74 (2013). MSC: 90C29 90C46 PDF BibTeX XML Cite \textit{S. Dempe} et al., J. Optim. Theory Appl. 157, No. 1, 54--74 (2013; Zbl 1266.90160) Full Text: DOI
Gadhi, N.; Dempe, S. Necessary optimality conditions and a new approach to multiobjective bilevel optimization problems. (English) Zbl 1267.90130 J. Optim. Theory Appl. 155, No. 1, 100-114 (2012). Reviewer: Francisco Guerra Vazquez (Puebla) MSC: 90C29 90C46 PDF BibTeX XML Cite \textit{N. Gadhi} and \textit{S. Dempe}, J. Optim. Theory Appl. 155, No. 1, 100--114 (2012; Zbl 1267.90130) Full Text: DOI
Bazine, M.; Bennani, A.; Gadhi, N. Fuzzy optimality conditions for fractional multi-objective problems. (English) Zbl 1282.90162 Optimization 61, No. 11, 1295-1305 (2012). MSC: 90C29 49K99 PDF BibTeX XML Cite \textit{M. Bazine} et al., Optimization 61, No. 11, 1295--1305 (2012; Zbl 1282.90162) Full Text: DOI
Dempe, S.; Gadhi, N. Optimality results for a specific bilevel optimization problem. (English) Zbl 1258.90062 Optimization 60, No. 7-9, 813-822 (2011). MSC: 90C29 90C26 90C70 49K99 PDF BibTeX XML Cite \textit{S. Dempe} and \textit{N. Gadhi}, Optimization 60, No. 7--9, 813--822 (2011; Zbl 1258.90062) Full Text: DOI
Benkenza, Najia; Gadhi, Nazih; Lafhim, Lahoussine Necessary and sufficient optimality conditions for set-valued optimization problems. (English) Zbl 1236.90109 Georgian Math. J. 18, No. 1, 53-66 (2011). MSC: 90C29 90C26 PDF BibTeX XML Cite \textit{N. Benkenza} et al., Georgian Math. J. 18, No. 1, 53--66 (2011; Zbl 1236.90109) Full Text: DOI
Bazine, M.; Bennani, A.; Gadhi, N.; Lafhim, L. Optimality and duality for non-Lipschitz multiobjective optimization problems. (English) Zbl 1211.90203 Numer. Funct. Anal. Optim. 32, No. 2, 142-154 (2011). MSC: 90C29 49K30 PDF BibTeX XML Cite \textit{M. Bazine} et al., Numer. Funct. Anal. Optim. 32, No. 2, 142--154 (2011; Zbl 1211.90203) Full Text: DOI
Bazine, M.; Bennani, A.; Gadhi, N. Fuzzy optimality conditions for fractional multiobjective bilevel problems under fractional constraints. (English) Zbl 1229.90221 Numer. Funct. Anal. Optim. 32, No. 2, 126-141 (2011). Reviewer: Nazih Abderrazzak Gadhi (Fès) MSC: 90C32 90C31 90C46 90C29 90C26 49J50 49J52 90C30 PDF BibTeX XML Cite \textit{M. Bazine} et al., Numer. Funct. Anal. Optim. 32, No. 2, 126--141 (2011; Zbl 1229.90221) Full Text: DOI
Dempe, S.; Gadhi, N. A.; Lafhim, L. Fuzzy and exact optimality conditions for a bilevel set-valued problem via extremal principles. (English) Zbl 1251.90385 Numer. Funct. Anal. Optim. 31, No. 8, 907-920 (2010). Reviewer: Kathrin Klamroth (Wuppertal) MSC: 90C46 49K99 90C48 90C29 90C70 PDF BibTeX XML Cite \textit{S. Dempe} et al., Numer. Funct. Anal. Optim. 31, No. 8, 907--920 (2010; Zbl 1251.90385) Full Text: DOI
Dempe, S.; Gadhi, N. Second order optimality conditions for bilevel set optimization problems. (English) Zbl 1190.90179 J. Glob. Optim. 47, No. 2, 233-245 (2010). MSC: 90C29 49J52 90C30 49K99 PDF BibTeX XML Cite \textit{S. Dempe} and \textit{N. Gadhi}, J. Glob. Optim. 47, No. 2, 233--245 (2010; Zbl 1190.90179) Full Text: DOI
Gadhi, Nazih; Lafhim, Lahoussine Necessary optimality conditions for set-valued optimization problems via the extremal principle. (English) Zbl 1189.90194 Positivity 13, No. 4, 657-669 (2009). Reviewer: Vasile Postolică (Piatra Neamt) MSC: 90C48 90C29 49K27 PDF BibTeX XML Cite \textit{N. Gadhi} and \textit{L. Lafhim}, Positivity 13, No. 4, 657--669 (2009; Zbl 1189.90194) Full Text: DOI
Lahoussine, Lafhim; Elhilali, Ahmed Alaoui; Gadhi, N. Set-valued mapping monotonicity as characterization of D.C functions. (English) Zbl 1222.46005 Positivity 13, No. 2, 399-405 (2009). MSC: 46A40 46A22 46B40 46B42 PDF BibTeX XML Cite \textit{L. Lahoussine} et al., Positivity 13, No. 2, 399--405 (2009; Zbl 1222.46005) Full Text: DOI
Dempe, S.; Gadhi, N. Necessary optimality conditions of a D.C. set-valued bilevel optimization problem. (English) Zbl 1152.90587 Optimization 57, No. 6, 777 - 793 (2008). MSC: 90C29 PDF BibTeX XML Cite \textit{S. Dempe} and \textit{N. Gadhi}, Optimization 57, No. 6, 777 - 793 (2008; Zbl 1152.90587) Full Text: DOI
Gadhi, N. Necessary and sufficient optimality conditions for fractional multi-objective problems. (English) Zbl 1176.90537 Optimization 57, No. 4, 527-537 (2008). Reviewer: Fabián Flores-Bazan (Concepción) MSC: 90C29 49K99 PDF BibTeX XML Cite \textit{N. Gadhi}, Optimization 57, No. 4, 527--537 (2008; Zbl 1176.90537) Full Text: DOI
Dempe, S.; Gadhi, N. Necessary optimality conditions for bilevel set optimization problems. (English) Zbl 1190.90178 J. Glob. Optim. 39, No. 4, 529-542 (2007). MSC: 90C29 90C46 PDF BibTeX XML Cite \textit{S. Dempe} and \textit{N. Gadhi}, J. Glob. Optim. 39, No. 4, 529--542 (2007; Zbl 1190.90178) Full Text: DOI
Gadhi, N. Optimality conditions for a d.c. set-valued problem via the extremal principle. (English) Zbl 1196.90125 Dempe, Stephan (ed.) et al., Optimization with multivalued mappings. New York, NY: Springer (ISBN 0-387-34220-6/hbk). Springer Optimization and Its Applications 2, 251-264 (2006). MSC: 90C46 90C29 49J52 PDF BibTeX XML Cite \textit{N. Gadhi}, Springer Optim. Appl. 2, 251--264 (2006; Zbl 1196.90125) Full Text: DOI
Babahadda, H.; Gadhi, N. Necessary optimality conditions for bilevel optimization problems using convexificators. (English) Zbl 1090.49021 J. Glob. Optim. 34, No. 4, 535-549 (2006). MSC: 49J52 49K99 90C25 90C46 PDF BibTeX XML Cite \textit{H. Babahadda} and \textit{N. Gadhi}, J. Glob. Optim. 34, No. 4, 535--549 (2006; Zbl 1090.49021) Full Text: DOI
Gadhi, N. Optimality conditions for the difference of convex set-valued mappings. (English) Zbl 1151.90536 Positivity 9, No. 4, 687-703 (2005). MSC: 90C29 90C26 90C46 PDF BibTeX XML Cite \textit{N. Gadhi}, Positivity 9, No. 4, 687--703 (2005; Zbl 1151.90536) Full Text: DOI
Gadhi, N.; Laghdir, M.; Metrane, A. Optimality conditions for D.C. vector optimization problems under reverse convex constraints. (English) Zbl 1121.90403 J. Glob. Optim. 33, No. 4, 527-540 (2005). MSC: 90C29 90C46 PDF BibTeX XML Cite \textit{N. Gadhi} et al., J. Glob. Optim. 33, No. 4, 527--540 (2005; Zbl 1121.90403) Full Text: DOI
Gadhi, N. Necessary optimality conditions for Lipschitz multiobjective optimization problems. (English) Zbl 1139.90418 Georgian Math. J. 12, No. 1, 65-74 (2005). MSC: 90C29 49K99 PDF BibTeX XML Cite \textit{N. Gadhi}, Georgian Math. J. 12, No. 1, 65--74 (2005; Zbl 1139.90418)
Gadhi, N.; Metrane, A. Optimality conditions for D.C. vector optimization problems under D.C. constraints. (English) Zbl 1063.90046 Serdica Math. J. 30, No. 1, 17-32 (2004). MSC: 90C29 49K30 PDF BibTeX XML Cite \textit{N. Gadhi} and \textit{A. Metrane}, Serdica Math. J. 30, No. 1, 17--32 (2004; Zbl 1063.90046) Full Text: Link EuDML
Gadhi, N. Optimality conditions and duality theorems for non-Lipschitz optimization problems. (English) Zbl 1070.90096 Port. Math. (N.S.) 61, No. 3, 317-327 (2004). MSC: 90C29 49K30 PDF BibTeX XML Cite \textit{N. Gadhi}, Port. Math. (N.S.) 61, No. 3, 317--327 (2004; Zbl 1070.90096) Full Text: EuDML
Gadhi, N.; Metrane, A. Sufficient optimality condition for vector optimization problems under D.C. data. (English) Zbl 1061.90098 J. Glob. Optim. 28, No. 1, 55-66 (2004). MSC: 90C29 90C46 PDF BibTeX XML Cite \textit{N. Gadhi} and \textit{A. Metrane}, J. Glob. Optim. 28, No. 1, 55--66 (2004; Zbl 1061.90098) Full Text: DOI
Gadhi, N. Sufficient second order optimality conditions for \(C^1\) multiobjective optimization problems. (English) Zbl 1097.90045 Serdica Math. J. 29, No. 3, 225-238 (2003). MSC: 90C29 90C30 90C46 PDF BibTeX XML Cite \textit{N. Gadhi}, Serdica Math. J. 29, No. 3, 225--238 (2003; Zbl 1097.90045) Full Text: Link EuDML
Amahroq, T.; Gadhi, N.; Riahi, H. Epi-differentiability and optimality conditions for an extremal problem under inclusion constraints. (English) Zbl 1126.49306 JIPAM, J. Inequal. Pure Appl. Math. 4, No. 2, Paper No. 41, 11 p. (2003). Reviewer: Neculai Papaghiuc (Iaşi) MSC: 49J52 58C20 90C46 PDF BibTeX XML Cite \textit{T. Amahroq} et al., JIPAM, J. Inequal. Pure Appl. Math. 4, No. 2, Paper No. 41, 11 p. (2003; Zbl 1126.49306) Full Text: Link EuDML
Amahroq, T.; Gadhi, N. Second order optimality conditions for the extremal problem under inclusion constraints. (English) Zbl 1029.49014 J. Math. Anal. Appl. 285, No. 1, 74-85 (2003). MSC: 49J52 90C46 49J53 PDF BibTeX XML Cite \textit{T. Amahroq} and \textit{N. Gadhi}, J. Math. Anal. Appl. 285, No. 1, 74--85 (2003; Zbl 1029.49014) Full Text: DOI
Gadhi, N.; Riahi, H. Second order optimality conditions for \(C^1\) multiobjective optimization problems. Scalarization. (English) Zbl 1097.90046 Int. J. Pure Appl. Math. 5, No. 4, 419-435 (2003). Reviewer: Maxim Todorov (Puebla) MSC: 90C29 90C30 PDF BibTeX XML Cite \textit{N. Gadhi} and \textit{H. Riahi}, Int. J. Pure Appl. Math. 5, No. 4, 419--435 (2003; Zbl 1097.90046)
Amahroq, T.; Gadhi, N. On the regularity condition for vector programming problems. (English) Zbl 1175.90409 J. Glob. Optim. 21, No. 4, 433-441 (2001). MSC: 90C46 PDF BibTeX XML Cite \textit{T. Amahroq} and \textit{N. Gadhi}, J. Glob. Optim. 21, No. 4, 433--441 (2001; Zbl 1175.90409) Full Text: DOI