Fixed points of asymptotic pointwise contractions in modular spaces
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Author list: Kuaket K., Kumam P.
Publisher: Elsevier
Publication year: 2011
Journal: Applied Mathematics Letters (0893-9659)
Volume number: 24
Issue number: 11
Start page: 1795
End page: 1798
Number of pages: 4
ISSN: 0893-9659
Languages: English-Great Britain (EN-GB)
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Abstract
Kirk and Xu introduced the concept of asymptotic pointwise contractions. In this paper, we investigate these kinds of mappings in modular spaces. Moreover, the fixed point theorem for asymptotic pointwise nonexpansive mappings in modular spaces is also studied. The results of this paper improve and extend the results of Razani et al. [A. Razani, E. Nabizadeh, M. Beyg Mohamadi, S. Homaei Pour, Fixed points of nonlinear and asymptotic contractions in the modular spaces, Abstract and Applied Analysis, 2007 (2007)], and Kirk and Xu [W. A. Kirk, Hong-Kun Xu, Asymptotic pointwise contractions, Nonlinear Analysis 69 (2008) 47064712] to modular spaces. ฉ 2011 Elsevier Ltd. All rights reserved.
Keywords
Asymptotic pointwise contractions, Asymptotic pointwise nonexpansive, Convex modular, Modular spaces
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