Common Fixed Point Theorems for Contractive Mappings of Integral Type in G-Metric Spaces and Applications
Two common fixed point theorems for weakly compatible mappings satisfying contractive conditions of integral type in G-metric spaces are demonstrated. The results obtained in this paper generalize and differ from a few results in the literature and are used to prove the existence and uniqueness of c...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6619964 |
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| _version_ | 1841524556176556032 |
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| author | Fengrong Zhang Xiangshuai Zhang Yan Hao |
| author_facet | Fengrong Zhang Xiangshuai Zhang Yan Hao |
| author_sort | Fengrong Zhang |
| collection | DOAJ |
| description | Two common fixed point theorems for weakly compatible mappings satisfying contractive conditions of integral type in G-metric spaces are demonstrated. The results obtained in this paper generalize and differ from a few results in the literature and are used to prove the existence and uniqueness of common bounded and continuous solutions for certain functional equations and nonlinear Volterra integral equations. A nontrivial example is included. |
| format | Article |
| id | doaj-art-887c65dcdddc41e9a60775becd39f42c |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-887c65dcdddc41e9a60775becd39f42c2025-02-03T05:52:58ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/66199646619964Common Fixed Point Theorems for Contractive Mappings of Integral Type in G-Metric Spaces and ApplicationsFengrong Zhang0Xiangshuai Zhang1Yan Hao2School of Information Science and Engineering, Dalian Polytechnic University, Dalian, Liaoning 116034, ChinaDepartment of Mathematics, Liaoning Normal University, Dalian, Liaoning 116029, ChinaSchool of Mathematics and System Science, Shenyang Normal University, Shenyang, Liaoning 110034, ChinaTwo common fixed point theorems for weakly compatible mappings satisfying contractive conditions of integral type in G-metric spaces are demonstrated. The results obtained in this paper generalize and differ from a few results in the literature and are used to prove the existence and uniqueness of common bounded and continuous solutions for certain functional equations and nonlinear Volterra integral equations. A nontrivial example is included.http://dx.doi.org/10.1155/2021/6619964 |
| spellingShingle | Fengrong Zhang Xiangshuai Zhang Yan Hao Common Fixed Point Theorems for Contractive Mappings of Integral Type in G-Metric Spaces and Applications Journal of Function Spaces |
| title | Common Fixed Point Theorems for Contractive Mappings of Integral Type in G-Metric Spaces and Applications |
| title_full | Common Fixed Point Theorems for Contractive Mappings of Integral Type in G-Metric Spaces and Applications |
| title_fullStr | Common Fixed Point Theorems for Contractive Mappings of Integral Type in G-Metric Spaces and Applications |
| title_full_unstemmed | Common Fixed Point Theorems for Contractive Mappings of Integral Type in G-Metric Spaces and Applications |
| title_short | Common Fixed Point Theorems for Contractive Mappings of Integral Type in G-Metric Spaces and Applications |
| title_sort | common fixed point theorems for contractive mappings of integral type in g metric spaces and applications |
| url | http://dx.doi.org/10.1155/2021/6619964 |
| work_keys_str_mv | AT fengrongzhang commonfixedpointtheoremsforcontractivemappingsofintegraltypeingmetricspacesandapplications AT xiangshuaizhang commonfixedpointtheoremsforcontractivemappingsofintegraltypeingmetricspacesandapplications AT yanhao commonfixedpointtheoremsforcontractivemappingsofintegraltypeingmetricspacesandapplications |