A best proximity point theorem for α-proximal Geraghty non-self mappings
Abstract In this paper, we search some best proximity point results for a new class of non-self mappings T:A⟶B $T:A \longrightarrow B$ called α-proximal Geraghty mappings. Our results extend many recent results appearing in the literature. We suggest an example to support our result. Several consequ...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-06-01
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| Series: | Fixed Point Theory and Applications |
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| Online Access: | http://link.springer.com/article/10.1186/s13663-019-0661-8 |
| _version_ | 1819116412732440576 |
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| author | Mohamed Iadh Ayari |
| author_facet | Mohamed Iadh Ayari |
| author_sort | Mohamed Iadh Ayari |
| collection | DOAJ |
| description | Abstract In this paper, we search some best proximity point results for a new class of non-self mappings T:A⟶B $T:A \longrightarrow B$ called α-proximal Geraghty mappings. Our results extend many recent results appearing in the literature. We suggest an example to support our result. Several consequences are derived. As applications, we investigate the existence of best proximity points for a metric space endowed with symmetric binary relation. |
| first_indexed | 2024-12-22T05:16:41Z |
| format | Article |
| id | doaj.art-5485f3682b9a4a1d95a66ef8a66729f5 |
| institution | Directory Open Access Journal |
| issn | 1687-1812 |
| language | English |
| last_indexed | 2024-12-22T05:16:41Z |
| publishDate | 2019-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-5485f3682b9a4a1d95a66ef8a66729f52022-12-21T18:37:51ZengSpringerOpenFixed Point Theory and Applications1687-18122019-06-012019111010.1186/s13663-019-0661-8A best proximity point theorem for α-proximal Geraghty non-self mappingsMohamed Iadh Ayari0Department of Mathematics and Computer Science, Institut National DES Sciences Appliquée et de Technologie de Tunis, Cartage UniversityAbstract In this paper, we search some best proximity point results for a new class of non-self mappings T:A⟶B $T:A \longrightarrow B$ called α-proximal Geraghty mappings. Our results extend many recent results appearing in the literature. We suggest an example to support our result. Several consequences are derived. As applications, we investigate the existence of best proximity points for a metric space endowed with symmetric binary relation.http://link.springer.com/article/10.1186/s13663-019-0661-8Best proximity pointsα-Proximal Geraghty non-self mappings on metric spaces |
| spellingShingle | Mohamed Iadh Ayari A best proximity point theorem for α-proximal Geraghty non-self mappings Fixed Point Theory and Applications Best proximity points α-Proximal Geraghty non-self mappings on metric spaces |
| title | A best proximity point theorem for α-proximal Geraghty non-self mappings |
| title_full | A best proximity point theorem for α-proximal Geraghty non-self mappings |
| title_fullStr | A best proximity point theorem for α-proximal Geraghty non-self mappings |
| title_full_unstemmed | A best proximity point theorem for α-proximal Geraghty non-self mappings |
| title_short | A best proximity point theorem for α-proximal Geraghty non-self mappings |
| title_sort | best proximity point theorem for α proximal geraghty non self mappings |
| topic | Best proximity points α-Proximal Geraghty non-self mappings on metric spaces |
| url | http://link.springer.com/article/10.1186/s13663-019-0661-8 |
| work_keys_str_mv | AT mohamediadhayari abestproximitypointtheoremforaproximalgeraghtynonselfmappings AT mohamediadhayari bestproximitypointtheoremforaproximalgeraghtynonselfmappings |