On monotone contraction mappings in modular function spaces

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• 作者：Monther R Alfuraidan (1)
  Mostafa Bachar (2)
  Mohamed A Khamsi (3)
  
  1. Department of Mathematics & Statistics ; King Fahd University of Petroleum and Minerals ; Dhahran ; 31261 ; Saudi Arabia
  2. Department of Mathematics ; College of Sciences ; King Saud University ; Riyadh ; Saudi Arabia
  3. Department of Mathematical Science ; The University of Texas at El Paso ; El Paso ; TX ; 79968 ; USA
  
• 关键词：47H09 ; 47H10 ; fixed point ; modular function space ; monotone mappings ; pointwise contraction
• 刊名：Fixed Point Theory and Applications
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：2015
• 期：1
• 全文大小：1,099 KB
• 参考文献：1. Kozlowski, WM (1988) Modular Function Spaces. Dekker, New York
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• 刊物主题：Analysis; Mathematics, general; Applications of Mathematics; Differential Geometry; Topology; Mathematical and Computational Biology;
• 出版者：Springer International Publishing
• ISSN：1687-1812

文摘

We prove the existence of fixed points of monotone-contraction mappings in modular function spaces. This is the modular version of the Ran and Reurings fixed point theorem. We also discus the extension of these results to the case of pointwise monotone-contraction mappings in modular function spaces.