On the stability of set-valued functional equations with the fixed point alternative

被引：0

作者：

Hassan Azadi Kenary

Hamid Rezaei

Yousof Gheisari

Choonkil Park

机构：

[1] Yasouj University,Department of Mathematics, College of Science

[2] Islamic Azad University,Department of Mathematics, Bushehr Branch

[3] Hanyang University,Department of Mathematics, Research Institute for Natural Sciences

来源：

Fixed Point Theory and Applications | / 2012卷

关键词：

Hyers-Ulam stability; set-valued functional equation; fixed point;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Using the fixed point method, we prove the Hyers-Ulam stability of a Cauchy-Jensen type additive set-valued functional equation, a Jensen type additive-quadratic set-valued functional equation, a generalized quadratic set-valued functional equation and a Jensen type cubic set-valued functional equation.

引用

共 50 条

[1] On the stability of set-valued functional equations with the fixed point alternative
Kenary, Hassan Azadi
Rezaei, Hamid
Gheisari, Yousof
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[J]. FIXED POINT THEORY AND APPLICATIONS, 2012, : 1 - 17
[2] THE FIXED POINT ALTERNATIVE THEOREM AND SET-VALUED FUNCTIONAL EQUATIONS
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[J]. FIXED POINT THEORY, 2014, 15 (02): : 495 - 500
[3] Fixed point method for set-valued functional equations
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[J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 19 (04) : 2297 - 2308
[4] Fixed point method for set-valued functional equations
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[J]. Journal of Fixed Point Theory and Applications, 2017, 19 : 2297 - 2308
[5] The fixed point alternative and Hyers-Ulam stability of generalized additive set-valued functional equations
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[6] The fixed point alternative and Hyers-Ulam stability of generalized additive set-valued functional equations
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[9] STABILITY OF GENERALIZED CUBIC SET-VALUED FUNCTIONAL EQUATIONS
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[10] Asymptotic Stability of Neutral Set-Valued Functional Differential Equation by Fixed Point Method
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[J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2020, 2020

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