A Fixed Point Approach to Non-Archimedean Stabilities of IQD and IQA Functional Equations

被引：0
|
作者：
Kumar, Beri Venkatachalapathy Senthil [1 ]
Sabarinathan, Sriramulu [2 ]
机构：
[1] Univ Technol & Appl Sci, Dept Informat Technol, Nizwa 611, Oman
[2] SRM Inst Sci & Technol, Dept Math, Kattankulthur 603203, Tamil Nadu, India
来源：
THAI JOURNAL OF MATHEMATICS | 2022年 / 20卷 / 01期
关键词：
reciprocal functional equation; reciprocal-difference functional equation; reciprocal-adjoint functional equation; generalized Ulam-Hyers stability; APPROXIMATION;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present work, an inverse-quadratic difference functional equation and an inverse-quadratic adjoint functional equation are solved. The non-Archimedean stabilities of these equations are proved via fixed point method. Suitable counter-examples are presented to justify the failure of stability of these equations for singular cases. As an application, two new relationships are induced through the solution of these equations using inverse square law in physics.
引用
收藏
页码：69 / 78
页数：10
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