%0 Journal Article
%T New fixed point theorems in midconvex subgroups of abelian Banach groups
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Pourmoslemi, Alireza
%A Adib, Marjan
%A Nazari, Tahere
%D 2022
%\ 03/01/2022
%V 13
%N 1
%P 3169-3180
%! New fixed point theorems in midconvex subgroups of abelian Banach groups
%K Banach groups
%K Normed groups
%K Sequentially convergent mapping
%K Kannan fixed point theorem
%K Midconvex subgroup
%R 10.22075/ijnaa.2021.21988.2312
%X In this paper, using continuous, injective, and sequentially convergent mappings on a group, new generalizations of Kannan and Chatterjea's fixed points in Banach groups are presented. we generalize contractions with constants to prove some fixed point theorems in a Banach group. Moreover, nondecreasing continuous functions from the set of positive real numbers to itself are used to introduce a new extension of contractions on normed groups.
%U https://ijnaa.semnan.ac.ir/article_6065_64f822cc11c4ee11f1929250a740173b.pdf