On conjugations for functions with values in extensions of ordered groups

被引:8
作者
Martinez-Legaz, JE [1 ]
Singer, I
机构
[1] Univ Autonoma Barcelona, Dept Econ & Hist Econ, Bellaterra 08193, Barcelona, Spain
[2] Inst Math, Bucharest 70700, Romania
关键词
dualities; generalized conjugation theory; generalized subdifferentials;
D O I
10.1023/A:1009710513565
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We continue our study of generalized conjugations for functions with values in the canonical enlargement of a complete ordered group, started in [10], which encompass various kinds of known conjugations and polarities. We obtain extensions, to this framework, of some results on d.c. duality theory and subdifferentials, and we give some applications to conjugations and subdifferentials for functions with values in <(R)over bar(+)> = [0, +infinity].
引用
收藏
页码:193 / 218
页数:26
相关论文
共 22 条
[1]  
[Anonymous], 1966, FONCTIONNELLES CONVE
[2]  
[Anonymous], 1986, CONVEXITY OPTIMIZATI
[3]  
BIRKHOFF G, 1948, AM MATH SOC C PUBL, V25
[4]   PHI-CONVEXITY IN EXTREMAL PROBLEMS [J].
DOLECKI, S ;
KURCYUSZ, S .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1978, 16 (02) :277-300
[5]   THE CONJUGATE OF THE DIFFERENCE OF CONVEX-FUNCTIONS [J].
ELLAIA, R ;
HIRIARTURRUTY, JB .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1986, 49 (03) :493-498
[6]  
Hiriart-Urruty J.B., 1989, Nonsmooth Optimization and Related Topics, V43, DOI [10.1007/978-1-4757-6019-4_13, DOI 10.1007/978-1-4757-6019-4_13]
[7]  
HIRIARTURRUTY JB, 1993, GRUNDLEHREN MATH WIS, V305
[8]  
Martinez-Legaz J.-E., 1995, ZOR-Mathematical Methods of Operations Research, V42, P109, DOI 10.1007/BF01415676
[9]  
Martinez-Legaz J-E, 1990, LECT NOTES EC MATH S, V345, P168
[10]   A FORMULA ON THE APPROXIMATE SUBDIFFERENTIAL OF THE DIFFERENCE OF CONVEX-FUNCTIONS [J].
MARTINEZLEGAZ, JE ;
SEEGER, A .
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1992, 45 (01) :37-41