Abstract Concavity of Increasing Co-radiant and Quasi-Concave Functions with Applications in Mathematical Economics

被引：4

作者：

Mirzadeh, S. ^{[1
]}

Mohebi, H. ^{[1
]}

机构：

[1] Shahid Bahonar Univ Kerman, Dept Math, POB 76169133, Kerman 7616914111, Iran

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2016年 / 169卷 / 02期

关键词：

Abstract concavity; Abstract convexity; Duality; Co-radiant function; Quasi-concave function; Increasing function; Upper semi-continuous function; Upper support set; Superdifferential; Production function; TOPOLOGICAL VECTOR-SPACES; MONOTONIC ANALYSIS; DUALITY;

D O I：

10.1007/s10957-016-0901-6

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we study nonnegative, increasing, co-radiant and quasi-concave functions over real locally convex topological vector spaces. Such functions have frequently been employed in microeconomic analysis. We next characterize the abstract concavity, the upper support set and the superdifferential of this class of functions by applying a type of duality, which is used in microeconomic theory.

引用

页码：443 / 472

页数：30

共 11 条

[1] Abstract Concavity of Increasing Co-radiant and Quasi-Concave Functions with Applications in Mathematical Economics
S. Mirzadeh
H. Mohebi
[J]. Journal of Optimization Theory and Applications, 2016, 169 : 443 - 472
[2] Global minimization of the difference of increasing co-radiant and quasi-concave functions
Mirzadeh, S.
Mohebi, H.
[J]. OPTIMIZATION LETTERS, 2018, 12 (04) : 885 - 902
[3] Global minimization of the difference of increasing co-radiant and quasi-concave functions
S. Mirzadeh
H. Mohebi
[J]. Optimization Letters, 2018, 12 : 885 - 902
[4] Increasing quasiconcave co-radiant functions with applications in mathematical economics
Martínez-Legaz, JE
Rubinov, AM
Schaible, S
[J]. MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2005, 61 (02) : 261 - 280
[5] Increasing quasiconcave co-radiant functions with applications in mathematical economics
Juan Enrique Martínez-Legaz
Alexander M. Rubinov
Siegfried Schaible
[J]. Mathematical Methods of Operations Research, 2005, 61 : 261 - 280
[6] Erratum to: Increasing quasiconcave co-radiant functions with applications in mathematical economics
Juan Enrique Martínez-Legaz
[J]. Mathematical Methods of Operations Research, 2017, 85 : 521 - 521
[7] Increasing quasiconcave co-radiant functions with applications in mathematical economics (vol 61, pg 261, 2005)
Enrique Martinez-Legaz, Juan
[J]. MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2017, 85 (03) : 521 - 521
[8] INCREASING CO-RADIANT FUNCTIONS AND HERMITE-HADAMARD TYPE INEQUALITIES
Adilov, G. R.
[J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2011, 14 (01): : 45 - 60
[9] CHARACTERIZING SUBDIFFERENTIAL OF DECREASING INVERSE CO-RADIANT FUNCTIONS WITH APPLICATIONS
Bahrami, S.
Mohebi, H.
[J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2017, 79 (03): : 53 - 66
[10] Characterizations of Maximal Elements for Extended Real Valued Increasing and Co-Radiant Functions
Daryaei, M. H.
Mohebi, H.
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2015, 36 (04) : 438 - 459

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