Fixed point theorems for asymptotically regular semigroups equipped with generalized Lipschitzian conditions in metric spaces

Najibufahmi, Muhamad and Zulijanto, Atok (2021) Fixed point theorems for asymptotically regular semigroups equipped with generalized Lipschitzian conditions in metric spaces. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 23 (2). ISSN 1661-7738

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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 Gornicki (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).

Item Type: Article
Uncontrolled Keywords: Asymptotically regular semigroup; generalized Lipschitzian semigroup; common fixed point; metric space
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Mathematics and Natural Sciences > Mathematics Department
Depositing User: Sri JUNANDI
Date Deposited: 22 Oct 2024 00:42
Last Modified: 22 Oct 2024 00:42
URI: https://ir.lib.ugm.ac.id/id/eprint/9008

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