Title of article
New fixed point theorems in midconvex subgroups of abelian Banach groups
Author/Authors
Pourmoslemi, Alireza Department of Mathematics - Payame Noor University, Tehran, Iran , Adib, Marjan Department of Mathematics - Payame Noor University, Tehran, Iran , Nazari, Tahere Department of Mathematics - Payame Noor University, Tehran, Iran
Pages
12
From page
3169
To page
3180
Abstract
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.
Keywords
Banach groups , Normed groups , Sequentially convergent mapping , Kannan fixed point theorem , Midconvex subgroup
Journal title
International Journal of Nonlinear Analysis and Applications
Serial Year
2022
Record number
2714061
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