C -Algebra-Valued G -Metric Spaces and Related Fixed-Point Theorems

Congcong Shen; Lining Jiang; Zhenhua Ma

doi:10.1155/2018/3257189

C -Algebra-Valued G -Metric Spaces and Related Fixed-Point Theorems

Congcong Shen^*, Lining Jiang, Zhenhua Ma

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

Abstract

We introduce the notion of the C-algebra-valued G-metric space. The existence and uniqueness of some fixed-point theorems for self-mappings with contractive or expansive conditions on complete C-algebra-valued G-metric spaces are proved. As an application, we prove the existence and uniqueness of the solution of a type of differential equations.

Original language	English
Article number	3257189
Journal	Journal of Function Spaces
Volume	2018
DOIs	https://doi.org/10.1155/2018/3257189
Publication status	Published - 2018

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Shen, C., Jiang, L., & Ma, Z. (2018). C -Algebra-Valued G -Metric Spaces and Related Fixed-Point Theorems. Journal of Function Spaces, 2018, Article 3257189. https://doi.org/10.1155/2018/3257189

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title = "C -Algebra-Valued G -Metric Spaces and Related Fixed-Point Theorems",

abstract = "We introduce the notion of the C-algebra-valued G-metric space. The existence and uniqueness of some fixed-point theorems for self-mappings with contractive or expansive conditions on complete C-algebra-valued G-metric spaces are proved. As an application, we prove the existence and uniqueness of the solution of a type of differential equations.",

author = "Congcong Shen and Lining Jiang and Zhenhua Ma",

note = "Publisher Copyright: {\textcopyright} 2018 Congcong Shen et al.",

year = "2018",

doi = "10.1155/2018/3257189",

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journal = "Journal of Function Spaces",

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AU - Shen, Congcong

AU - Jiang, Lining

AU - Ma, Zhenhua

PY - 2018

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N2 - We introduce the notion of the C-algebra-valued G-metric space. The existence and uniqueness of some fixed-point theorems for self-mappings with contractive or expansive conditions on complete C-algebra-valued G-metric spaces are proved. As an application, we prove the existence and uniqueness of the solution of a type of differential equations.

AB - We introduce the notion of the C-algebra-valued G-metric space. The existence and uniqueness of some fixed-point theorems for self-mappings with contractive or expansive conditions on complete C-algebra-valued G-metric spaces are proved. As an application, we prove the existence and uniqueness of the solution of a type of differential equations.

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U2 - 10.1155/2018/3257189

DO - 10.1155/2018/3257189

M3 - Article

AN - SCOPUS:85050937152

SN - 2314-8896

VL - 2018

JO - Journal of Function Spaces

JF - Journal of Function Spaces

M1 - 3257189

ER -

C -Algebra-Valued G -Metric Spaces and Related Fixed-Point Theorems

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