Fixed point theorems for generalized asymptotic pointwise ρ-contraction mappings involving orbits in modular function spaces
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Author list: Mongkolkeha C., Kumam P.
Publisher: Elsevier
Publication year: 2012
Journal: Applied Mathematics Letters (0893-9659)
Volume number: 25
Issue number: 10
Start page: 1285
End page: 1290
Number of pages: 6
ISSN: 0893-9659
Languages: English-Great Britain (EN-GB)
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Abstract
In this work, we prove new fixed point theorems for generalized asymptotic pointwise ρ-contractions and strongly asymptotic pointwise ρ-contraction mappings involving orbits in modular function spaces. The results of this work extend and improve the recent results of Khamsi and Kozlowski [M.A. Khamsi, W.M. Kozlowski, On asymptotic pointwise contractions in modular function spaces, Nonlinear Analysis: Theory Methods and Applications 73 (2010) 2957-2967] and Nicolae [A. Nicolae, Generalized asymptotic pointwise contractions and nonexpansive mappings involving orbits, Fixed Point Theory and Applications (2009) Article ID 458265, 19 pages]. © 2011 Elsevier Ltd. All rights reserved.
Keywords
Asymptotic pointwise ρ-contraction involving orbits, Strongly asymptotic pointwise ρ-contractions involving orbits
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