On Pata-Suzuki Contractions
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Date
2020
Authors
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Mdpi
Open Access Color
GOLD
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No
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Abstract
In this manuscript, we introduce two notions, Pata-Suzuki <mml:semantics>Z</mml:semantics>-contraction and Pata <mml:semantics>Z</mml:semantics>-contraction for the pair of self-mapping <mml:semantics>g,f</mml:semantics> in the context of metric spaces. For such types of contractions, both the existence and uniqueness of a common fixed point are examined. We provide examples to illustrate the validity of the given results. Further, we consider ordinary differential equations to apply our obtained results.
Description
Venigalla, M.L.Himabindu/0000-0002-1331-2236
ORCID
Keywords
Simulation Function, Pata-Suzuki ?-Contraction, ?-Contraction, C-Condition, 54H25, 47H10, 54E50, simulation function, History, <i>ƶ</i>-contraction, C-condition, Mathematical analysis, Fixed Point Theorems in Metric Spaces, Context (archaeology), Differential equation, QA1-939, FOS: Mathematics, Biology, Pata–Suzuki Z-contraction, Ecology, Pure mathematics, Linguistics, pata–suzuki <i>ƶ</i>-contraction, Fixed point, Generalized Contractions, Z-contraction, FOS: Philosophy, ethics and religion, <i>c</i>-condition, Philosophy, Contractive Mappings, Archaeology, FOS: Biological sciences, Physical Sciences, FOS: Languages and literature, Contraction (grammar), Geometry and Topology, Uniqueness, Metric space, Type (biology), Mathematics, Ordinary differential equation
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Karapınar, Erdal; Bindu, V.M.L. Hima (2020). "On pata-suzuki-type contractions", Mathematics, Vol. 8, No. 3.
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OpenCitations Citation Count
3
Source
Mathematics
Volume
8
Issue
3
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CrossRef : 4
Scopus : 5
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Mendeley Readers : 3
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5
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4
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3
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