Fixed point results of pointwise contractions in modular metric spaces

被引：0
|
作者：
Afrah AN Abdou
Mohamed A Khamsi
机构：
[1] King Abdulaziz University,Department of Mathematics
[2] The University of Texas at El Paso,Department of Mathematical Science
[3] King Fahd University of Petroleum & Minerals,Department of Mathematics and Statistics
来源：
Fixed Point Theory and Applications | / 2013卷
关键词：
-condition; fixed point; modular function space; modular metric spaces; Orlicz spaces; pointwise contraction mapping;
D O I：
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学科分类号：
摘要：
The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, were recently introduced. In this paper we investigate the existence of fixed points of modular contractive mappings in modular metric spaces. These are related to the successive approximations of fixed points (via orbits) which converge to the fixed points in the modular sense, which is weaker than the metric convergence.
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