New fixed point theorems in midconvex subgroups of abelian Banach groups | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 13، شماره 1، خرداد 2022، صفحه 3169-3180 اصل مقاله (389.69 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.21988.2312 | ||
| نویسندگان | ||
| Alireza Pourmoslemi* ؛ Marjan Adib؛ Tahere Nazari | ||
| Department of Mathematics, Payame Noor University, P.O.BOX 19395-3697, Tehran, Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Banach groups؛ Normed groups؛ Sequentially convergent mapping؛ Kannan fixed point theorem؛ Midconvex subgroup | ||
| مراجع | ||
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