Generalized Hyers-Ulam stability;
Fixed point theorem;
Non-Archimedean space;
D O I:
10.14317/jami.2016.509
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
In this paper, we consider the following functional equation with involution f(x + y) + f(x + sigma(y) = 2f(x) + f(sigma(y)) and prove the generalized Hyers-Ulam stability for it when the target space is a non-Archimedean Banach space.
机构:
RMK Engn Coll, Fac Sci & Humanities, Dept Math, Srivilliputhur 601206, Tamil Nadu, IndiaRMK Engn Coll, Fac Sci & Humanities, Dept Math, Srivilliputhur 601206, Tamil Nadu, India
Tamilvanan, Kandhasamy
Alkhaldi, Ali H.
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机构:
King Khalid Univ, Coll Sci, Dept Math, Abha 61421, Saudi ArabiaRMK Engn Coll, Fac Sci & Humanities, Dept Math, Srivilliputhur 601206, Tamil Nadu, India
Alkhaldi, Ali H.
Agarwal, Ravi P.
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机构:
Texas A&M Univ Kingsville, Dept Math, 700 Univ Blvd, Kingsville, TX 78363 USARMK Engn Coll, Fac Sci & Humanities, Dept Math, Srivilliputhur 601206, Tamil Nadu, India
Agarwal, Ravi P.
Alanazi, Abdulaziz M.
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机构:
Univ Tabuk, Dept Math, Tabuk 71491, Saudi ArabiaRMK Engn Coll, Fac Sci & Humanities, Dept Math, Srivilliputhur 601206, Tamil Nadu, India