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Fixed point theorems in a new type of modular metric spaces
Fixed Point Theory and Applications Pub Date : 2018-12-01 , DOI: 10.1186/s13663-018-0650-3
Duran Turkoglu , Nesrin Manav

In this paper, considering both a modular metric space and a generalized metric space in the sense of Jleli and Samet (Fixed Point Theory Appl. 2015:61, 2015), we introduce a new concept of generalized modular metric space. Then we present some examples showing that the generalized modular metric space includes some kind of metric structures. Finally, we provide some fixed point results for both contraction and quasicontraction type mappings on generalized modular metric spaces.

中文翻译:

新型模块化度量空间中的不动点定理

在本文中,从Jleli和Samet的角度考虑模块化度量空间和广义度量空间(固定点理论应用2015:61,2015),我们引入了广义模块化度量空间的新概念。然后,我们提供一些示例,这些示例表明广义模块化度量空间包括某种度量结构。最后,我们为广义模块化度量空间上的收缩和拟收缩类型映射提供了一些不动点结果。
更新日期:2018-12-01
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