new fixed point theorems in midconvex subgroups of abelian banach groups

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.