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Fixed Points of Asymptotic Pointwise Nonexpansive Mappings in Modular Spaces

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  • Xue Wang
  • Ying Chen
  • Rudong Chen

Abstract

Kirk and Xu studied the existence of fixed points of asymptotic pointwise nonexpansive mappings in the Banach space. In this paper, we investigate these kinds of mappings in modular spaces. Moreover, we prove the existence of fixed points of asymptotic pointwise nonexpansive mappings in modular spaces. The results improve and extend the corresponding results of Kirk and Xu (2008) to modular spaces.

Suggested Citation

  • Xue Wang & Ying Chen & Rudong Chen, 2012. "Fixed Points of Asymptotic Pointwise Nonexpansive Mappings in Modular Spaces," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-6, April.
    • Handle: RePEc:hin:jnljam:319394
    DOI: 10.1155/2012/319394
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