A Discussion on Generalized Almost Contractions Via Rational Expressions in Partially Ordered Metric Spaces
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Date
2014
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Publisher
Springeropen
Open Access Color
GOLD
Green Open Access
Yes
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No
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Abstract
The main purpose of this paper is to give some fixed point results for mappings involving generalized (phi, psi)-contractions in partially ordered metric spaces. Our results generalize, extend, and unify several well-known comparable results in the literature (Jaggi in Indian J. Pure Appl. Math. 8(2):223-230, 1977, Harjani et al. in Nonlinear Anal. 71:3403-3410, 2009, Luong and Thuan in Fixed Point Theory Appl. 2011:46, 2011). The presented results are supported by three illustrative examples.
Description
Mustafa, Zead/0009-0001-7168-3342; KARAPINAR, ERDAL/0000-0002-6798-3254; Aydi, Hassen/0000-0003-4606-7211; Mustafa, Zead/0000-0002-8540-8448; , Hassen/0000-0003-3896-3809
Keywords
ordered set, metric space, fixed point, ordered set, fixed point, Applied Mathematics, metric space, Discrete Mathematics and Combinatorics, Analysis, Fixed-point and coincidence theorems (topological aspects), Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces, Special maps on metric spaces
Fields of Science
0101 mathematics, 01 natural sciences
Citation
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OpenCitations Citation Count
12
Source
Journal of Inequalities and Applications
Volume
2014
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CrossRef : 9
Scopus : 25
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