Fixed-Point Theorems for α-Admissible Mappings with w-Distance and Applications to Nonlinear Integral Equations

Two fixed-point theorems for α-admissible mappings satisfying contractive inequality of integral type with w-distance in complete metric spaces are proved. Our results extend and improve a few existing results in the literature. As applications, we use the fixed-point theorems obtained in this paper...

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Bibliographic Details
Published inMathematical problems in engineering Vol. 2020; no. 2020; pp. 1 - 7
Main Authors Zhao, Liangshi, Wu, Shuangqi, Wang, Haoyue, Zhang, Fengrong
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 2020
Hindawi
Hindawi Limited
Subjects
Fixed points (mathematics)
Integral equations
Mathematical analysis
Metric space
Nonlinear equations
Theorems
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Summary:Two fixed-point theorems for α-admissible mappings satisfying contractive inequality of integral type with w-distance in complete metric spaces are proved. Our results extend and improve a few existing results in the literature. As applications, we use the fixed-point theorems obtained in this paper to establish solvability of nonlinear integral equations. Examples are included.
ISSN:1024-123X
1563-5147
DOI:10.1155/2020/2804802