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Fixed point theorems for asymptotically regular semigroups equipped with generalized Lipschitzian conditions in metric spaces
Journal of Fixed Point Theory and Applications ( IF 1.4 ) Pub Date : 2021-03-16 , DOI: 10.1007/s11784-021-00861-5
Muhamad Najibufahmi , Atok Zulijanto

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 Górnicki (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).



中文翻译:

度量空间中配备广义Lipschitz条件的渐近正则半群的不动点定理

在本文中,我们证明了渐近正则映射的一参数半群的一些公共不动点定理,它们满足度量空间中的某些广义Lipschitzian条件。我们的结果未假设半组中映射的连续性。结果扩展了Górnicki(Colloq Math 64:55-57,1993),Imdad和Soliman(Fixed Point Theory Appl 2010:692401,2010),Imdad和Soliman(Bull Malays Math Sci Soc 2(35) ):687–694,2012),姚和曾(J非线性凸肛门杂志8:153–163,2007)。

更新日期:2021-03-16
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