Triple Fixed Point Theorems Via Α-Series in Partially Ordered Metric Spaces
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Date
2014
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Springeropen
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GOLD
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Abstract
This manuscript has two aims: first we extend the definitions of compatibility and weakly reciprocally continuity, for a trivariate mapping F and a self-mapping g akin to a compatible mapping as introduced by Choudhary and Kundu (Nonlinear Anal. 73:2524-2531, 2010) for a bivariate mapping F and a self-mapping g. Further, using these definitions we establish tripled coincidence and fixed point results by applying the new concept of an alpha-series for sequence of mappings, introduced by Sihag et al. (Quaest. Math. 37:1-6, 2014), in the setting of partially ordered metric spaces.
Description
Kumar, Amit/0000-0002-3919-3423; Vats, Ramesh Kumar/0000-0002-7974-5341; Tas, Kenan/0000-0001-8173-453X
Keywords
Alpha-Series, Compatible Mappings, Tripled Coincidence Point, Tripled Fixed Point, Partially Ordered Metric Space, Alternative medicine, Mathematical analysis, Fixed Point Theorems in Metric Spaces, FOS: Mathematics, Series (stratigraphy), Pathology, Discrete Mathematics and Combinatorics, Biology, Applied Mathematics, Statistics, Pure mathematics, Paleontology, Astronomy and Astrophysics, Fixed point, Discrete mathematics, Coincidence, Finsler Geometry in Physics and Cosmology, Coincidence point, Partial Ordering, Bivariate analysis, Physics and Astronomy, Physical Sciences, Medicine, Geometry and Topology, Metric space, Analysis, Mathematics, \(\alpha\)-series, Fixed-point theorems, Complete metric spaces, partially ordered metric space, Fixed-point and coincidence theorems (topological aspects), compatible mappings, tripled fixed point, tripled coincidence point
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Fields of Science
01 natural sciences, 0101 mathematics
Citation
Vats, R.K...et al. (2014). Triple fixed point theorems via alpha-series in partially ordered metric spaces. Triple fixed point theorems via alpha-series in partially ordered metric spaces. http://dx.doi.org/10.1186/1029-242X-2014-176
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OpenCitations Citation Count
5
Source
Journal of Inequalities and Applications
Volume
2014
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Scopus : 9
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