期刊文献+

The Unique Existence of Additive Selection Maps for a Weak Subadditive Set-valued Map 被引量:1

The Unique Existence of Additive Selection Maps for a Weak Subadditive Set-valued Map
下载PDF
导出
摘要 In this paper, we discuss the unique existent problems of a additive selection map for the following map F:X→P0(Y):F(r∑i=1αixi)■r∑i=1αiF(xi),■xi∈K,i=1, ··· , r,where αi and αi (i = 1, ··· , r) are all non-negative real numbers. In this paper, we discuss the unique existent problems of a additive selection map for the following map F : X → P0(Y) : F(∑ i=1^t aixi) ∑ i=1^ra^-iF(xi),xi∈k,i=1,…,r, where ai and a^-i (i = 1,... , r) are all non-negative real numbers.
机构地区 College of science
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2013年第1期53-59,共7页 数学季刊(英文版)
基金 Foundation item: Supported by the Science Foundation of Education Committee of Jilin Province([2011] No434)
关键词 additive selection map subadditive additive selection CONE additive selection map subadditive additive selection cone
  • 相关文献

参考文献11

  • 1ULAM S M. Problems in Modern Mathematics[M]. New York: Wiley, 1940.
  • 2HYERS D H. On the stability of the linear functional equation[J]. Proc Nat Acad Sci USA, 1941, 27: 222-224.
  • 3AOKI T. On the stability of the linear transformation in Banach spaces[J]. J Math Soc Japan, 1950, 2: 64-66.
  • 4RASSIAS T M. On the stability of the linear mapping in Banacb spaces[J]. Proc Amer Math Soc, 1987, 72: 297-300.
  • 5RASSIAS T M. Functional Equations and Inequalities[M]. Dordrecht: Kluwer Academic, 2000.
  • 6RASSIAS T M. On the stability of functional equations in Banach spaces[J]. J Math Anal Appl, 2000, 251: 264-284.
  • 7RASSIAS T M. On the stability of functional equations and a problem of Ulam[J]. Acta Math Appl, 2000, 62: 23-130.
  • 8GAVRUTA P. A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings[J]. J Math Anal Appl, 1994, 184: 431-436.
  • 9NIKODEM K. K-convex and K-convave Set Valued Functions[M]. Rdzprawy Naukowe: Zeszyty Naukowe Politechniki Lodzkiej, 1989.
  • 10POPA D. Additive selections of (α, β)-subadditive set valued maps[J]. GLASNIK Math, 2001, 36(56): 11-16.

同被引文献1

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部