Bernstein-Doetsch Type Theorems with Tabor Type Error Terms for Set-Valued Maps

被引：5

作者：

Gilanyi, Attila ^{[1
]}

Gonzalez, Carlos ^{[2
]}

Nikodem, Kazimierz ^{[3
]}

Pales, Zsolt ^{[4
]}

机构：

[1] Univ Debrecen, Fac Informat, Egyet Ter 1, H-4032 Debrecen, Hungary

[2] Univ Cent Venezuela, Escuela Matemat, Caracas, Venezuela

[3] Univ Bielsko Biala, Dept Math, Ul Willowa 2, PL-43309 Bielsko Biala, Poland

[4] Univ Debrecen, Inst Math, Egyet Ter 1, H-4032 Debrecen, Hungary

来源：

SET-VALUED AND VARIATIONAL ANALYSIS | 2017年 / 25卷 / 02期

基金：

匈牙利科学研究基金会;

关键词：

K-Jensen convexity/concavity; Set-valued map; Tabor transform; Approximate convexity; Strong convexity; HERMITE-HADAMARD INEQUALITIES; TAKAGI TYPE FUNCTIONS; CONVEX-FUNCTIONS; APPROXIMATE MIDCONVEXITY;

D O I：

10.1007/s11228-016-0390-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate set-valued maps of strongly and approximately Jensen convex and Jensen concave type. We present counterparts of the Bernstein-Doetsch Theorem with Tabor type error terms.

引用

页码：441 / 462

页数：22

共 50 条

[21] Moreau–Rockafellar Theorems for Nonconvex Set-Valued Maps
P. H. Sach
Journal of Optimization Theory and Applications, 2007, 133 : 213 - 227
[22] Ohlin-Type Theorem for Convex Set-Valued Maps
Kazimierz Nikodem
Teresa Rajba
Results in Mathematics, 2020, 75
[23] Ohlin-Type Theorem for Convex Set-Valued Maps
Nikodem, Kazimierz
Rajba, Teresa
RESULTS IN MATHEMATICS, 2020, 75 (04)
[24] CARATHEODORY TYPE SELECTORS OF SET-VALUED MAPS OF 2 VARIABLES
FRYSZKOWSKI, A
BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1977, 25 (01): : 41 - 46
[25] FIXED-POINT THEOREMS FOR SET-VALUED MAPPINGS OF CONTRACTIVE TYPE
ASSAD, NA
KIRK, WA
PACIFIC JOURNAL OF MATHEMATICS, 1972, 43 (03) : 553 - 562
[26] BERNSTEIN-TYPE APPROXIMATION OF SET-VALUED FUNCTIONS IN THE SYMMETRIC DIFFERENCE METRIC
Kels, Shay
Dyn, Nira
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2014, 34 (03) : 1041 - 1060
[27] FIXED POINT THEOREMS OF FUZZY SET-VALUED MAPS WITH APPLICATIONS
Shagari, Mohammed Shehu
Azam, Akbar
PROBLEMY ANALIZA-ISSUES OF ANALYSIS, 2020, 9 (02): : 68 - 86
[28] Abstract convexity in KKM theorems via set-valued maps
Fakhar, M.
Lotfipour, M.
Zafarani, J.
OPTIMIZATION LETTERS, 2021, 15 (03) : 923 - 931
[29] Hahn-Banach theorems and subgradients of set-valued maps
Jian Wen Peng
Heung Wing Joseph Lee
Wei Dong Rong
Xin Min Yang
Mathematical Methods of Operations Research, 2005, 61 : 281 - 297
[30] ON FIXED-POINT THEOREMS FOR RANDOM SET-VALUED MAPS
LIU, DS
CHENG, SZ
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1983, 7 (03) : 309 - 323

← 1 2 3 4 5 →