THE GENERALIZED HYPERSTABILITY OF GENERAL LINEAR EQUATION IN QUASI-2-BANACH SPACE  

作　　者：Ravinder Kumar SHARMA Sumit CHANDOK 

机构地区：[1]School of Mathematics,Thapar Institute of Engineering and Technology,Patiala-147004,India

出　　处：《Acta Mathematica Scientia》2022年第4期1357-1372,共16页数学物理学报（B辑英文版）

基　　金：AISTDF,DST India for the research grant vide project No.CRD/2018/000017。

摘　　要：In this paper,we study the hyperstability for the general linear equation f(ax+by)=Af(x)+Bf(y)in the setting of complete quasi-2-Banach spaces.We first extend the main fixed point result of Brzdek and Ciepliński(Acta Mathematica Scientia,2018,38 B(2):377-390)to quasi-2-Banach spaces by defining an equivalent quasi-2-Banach space.Then we use this result to generalize the main results on the hyperstability for the general linear equation in quasi-2-Banach spaces.Our results improve and generalize many results of literature.

关 键 词：HYPERSTABILITY quasi-2-Banach spaces fixed point general linear equation 

分 类 号：O177.2[理学—数学]