Fixed point theorems for a generalized almost (φ,ρ)-contraction with respect to S in ordered metric spaces
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Publication Details
Author list: Sintunavarat W., Kyu Kim J., Kumam P.
Publisher: SpringerOpen
Publication year: 2012
Journal: Journal of Inequalities and Applications (1025-5834)
Volume number: 2012
ISSN: 1025-5834
eISSN: 1029-242X
Languages: English-Great Britain (EN-GB)
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Abstract
In this paper, the existence theorems of fixed points and common fixed points for two weakly increasing mappings satisfying a new condition in ordered metric spaces are proved. Our results extend, generalize and unify most of the fundamental metrical fixed point theorems in the literature. MSC: 47H09, 47H10. ฉ 2012 Sintunavarat et al.; licensee Springer.
Keywords
generalized multi-valued (f,α,β)-weak contraction