Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2012, Special Issue (2012), Article ID 319394, 6 pages.

Fixed Points of Asymptotic Pointwise Nonexpansive Mappings in Modular Spaces

Xue Wang, Ying Chen, and Rudong Chen

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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.

Article information

Source
J. Appl. Math., Volume 2012, Special Issue (2012), Article ID 319394, 6 pages.

Dates
First available in Project Euclid: 3 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1357180288

Digital Object Identifier
doi:10.1155/2012/319394

Mathematical Reviews number (MathSciNet)
MR2915721

Zentralblatt MATH identifier
1318.47072

Citation

Wang, Xue; Chen, Ying; Chen, Rudong. Fixed Points of Asymptotic Pointwise Nonexpansive Mappings in Modular Spaces. J. Appl. Math. 2012, Special Issue (2012), Article ID 319394, 6 pages. doi:10.1155/2012/319394. https://projecteuclid.org/euclid.jam/1357180288


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