Najibufahmi, Muhammad (2021) Fixed point theorems for asymptotically regular semigroups equipped with generalized Lipschitzian conditions in metric spaces. Journal of Fixed Point Theory and Applications.
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Text (Fixed point theorems for asymptotically regular semigroups equipped with generalized Lipschitzian conditions in metric spaces)
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Abstract
In this paper, we prove some common fixed point theorems for one-parameter semigroups of asymptotically regular mappings which satisfy certain generalized Lipschitzian conditions in metric spaces. Our results do not assume the continuity of the mappings in the semigroups. The results extend some relevant common fixed point theorems in G ́ornicki (Colloq Math 64:55–57, 1993), Imdad and Soliman (Fixed Point Theory Appl 2010:692401, 2010), Imdad and Soliman (Bull Malays Math Sci Soc 2(35):687–694, 2012), Yao and Zeng (J Nonlinear Convex Anal 8:153–163, 2007). Mathematics Subject Classification. Primary 47H10; Secondary 47H09, 47H20. Keywords. Asymptotically regular semigroup, generalized Lipschitzian semigroup, common fixed point, metric space.
| Item Type: | Article |
|---|---|
| Subjects: | L Education > L Education (General) L Education > LB Theory and practice of education > LB2300 Higher Education |
| Divisions: | Fakultas Keguruan dan Ilmu Pendidikan > Pendidikan Matematika |
| Depositing User: | Unnamed user with email [email protected] |
| Date Deposited: | 26 Oct 2023 09:15 |
| Last Modified: | 20 Nov 2023 02:04 |
| URI: | http://repository.unikal.ac.id/id/eprint/1102 |
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