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On modular firmly nonexpansive mappings in the variable exponent sequence spaces $$\ell _{p(\cdot )}$$ ℓ p ( · )
Journal of Fixed Point Theory and Applications ( IF 1.4 ) Pub Date : 2021-01-08 , DOI: 10.1007/s11784-020-00842-0
Afrah A. N. Abdou , M. A. Khamsi

In this paper, we reexamine the concept of firmly nonexpansiveness in the modular sense in the variable exponent sequence spaces \(\ell _{p(\cdot )}\). In particular, we extend the classical fixed point results for firmly nonexpansive mappings defined in Banach spaces to the modular case within the spaces \(\ell _{p(\cdot )}\).



中文翻译:

在变量指数序列空间中的模块化牢固非膨胀映射上$$ \ ell _ {p(\ cdot)} $$ℓp(·)

在本文中,我们在变量指数序列空间\(\ ell _ {p(\ cdot)} \)中重新检验了模块意义上的牢固非扩张性的概念。特别是,我们将Banach空间中定义的牢固非扩展映射的经典不动点结果扩展到空间\(\ ell _ {p(\ cdot)} \)中的模块化情况。

更新日期:2021-01-08
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