Erratum: Abdou, A. A. N. and Khamsi, M.A. Fixed Points of Kannan Maps in the Variable Exponent Sequence Spaces <i>ℓ</i><sub><i>p</i>(·)</sub>. <i>Mathematics</i> 2020, <i>8</i>, 76
Kannan maps have inspired a branch of metric fixed point theory devoted to the extension of the classical Banach contraction principle. The study of these maps in modular vector spaces was attempted timidly and was not successful. In this work, we look at this problem in the variable exponent sequen...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-04-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/4/578 |
| _version_ | 1797570708202586112 |
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| author | Afrah A. N. Abdou Mohamed Amine Khamsi |
| author_facet | Afrah A. N. Abdou Mohamed Amine Khamsi |
| author_sort | Afrah A. N. Abdou |
| collection | DOAJ |
| description | Kannan maps have inspired a branch of metric fixed point theory devoted to the extension of the classical Banach contraction principle. The study of these maps in modular vector spaces was attempted timidly and was not successful. In this work, we look at this problem in the variable exponent sequence spaces <i>l</i><sub>p(·)</sub>. We prove the modular version of most of the known facts about these maps in metric and Banach spaces. In particular, our results for Kannan nonexpansive maps in the modular sense were never attempted before. |
| first_indexed | 2024-03-10T20:29:02Z |
| format | Article |
| id | doaj.art-607094cf2e8247a1b673609f5c44c752 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T20:29:02Z |
| publishDate | 2020-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-607094cf2e8247a1b673609f5c44c7522023-11-19T21:32:01ZengMDPI AGMathematics2227-73902020-04-018457810.3390/math8040578Erratum: Abdou, A. A. N. and Khamsi, M.A. Fixed Points of Kannan Maps in the Variable Exponent Sequence Spaces <i>ℓ</i><sub><i>p</i>(·)</sub>. <i>Mathematics</i> 2020, <i>8</i>, 76Afrah A. N. Abdou0Mohamed Amine Khamsi1Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartment of Mathematical Sciences, The University of Texas at El Paso, El Paso, TX 79968, USAKannan maps have inspired a branch of metric fixed point theory devoted to the extension of the classical Banach contraction principle. The study of these maps in modular vector spaces was attempted timidly and was not successful. In this work, we look at this problem in the variable exponent sequence spaces <i>l</i><sub>p(·)</sub>. We prove the modular version of most of the known facts about these maps in metric and Banach spaces. In particular, our results for Kannan nonexpansive maps in the modular sense were never attempted before.https://www.mdpi.com/2227-7390/8/4/578electrorheological fluidsfixed pointKannan contraction mappingKannan nonexpansive mappingmodular vector spacesNakano |
| spellingShingle | Afrah A. N. Abdou Mohamed Amine Khamsi Erratum: Abdou, A. A. N. and Khamsi, M.A. Fixed Points of Kannan Maps in the Variable Exponent Sequence Spaces <i>ℓ</i><sub><i>p</i>(·)</sub>. <i>Mathematics</i> 2020, <i>8</i>, 76 Mathematics electrorheological fluids fixed point Kannan contraction mapping Kannan nonexpansive mapping modular vector spaces Nakano |
| title | Erratum: Abdou, A. A. N. and Khamsi, M.A. Fixed Points of Kannan Maps in the Variable Exponent Sequence Spaces <i>ℓ</i><sub><i>p</i>(·)</sub>. <i>Mathematics</i> 2020, <i>8</i>, 76 |
| title_full | Erratum: Abdou, A. A. N. and Khamsi, M.A. Fixed Points of Kannan Maps in the Variable Exponent Sequence Spaces <i>ℓ</i><sub><i>p</i>(·)</sub>. <i>Mathematics</i> 2020, <i>8</i>, 76 |
| title_fullStr | Erratum: Abdou, A. A. N. and Khamsi, M.A. Fixed Points of Kannan Maps in the Variable Exponent Sequence Spaces <i>ℓ</i><sub><i>p</i>(·)</sub>. <i>Mathematics</i> 2020, <i>8</i>, 76 |
| title_full_unstemmed | Erratum: Abdou, A. A. N. and Khamsi, M.A. Fixed Points of Kannan Maps in the Variable Exponent Sequence Spaces <i>ℓ</i><sub><i>p</i>(·)</sub>. <i>Mathematics</i> 2020, <i>8</i>, 76 |
| title_short | Erratum: Abdou, A. A. N. and Khamsi, M.A. Fixed Points of Kannan Maps in the Variable Exponent Sequence Spaces <i>ℓ</i><sub><i>p</i>(·)</sub>. <i>Mathematics</i> 2020, <i>8</i>, 76 |
| title_sort | erratum abdou a a n and khamsi m a fixed points of kannan maps in the variable exponent sequence spaces i l i sub i p i · sub i mathematics i 2020 i 8 i 76 |
| topic | electrorheological fluids fixed point Kannan contraction mapping Kannan nonexpansive mapping modular vector spaces Nakano |
| url | https://www.mdpi.com/2227-7390/8/4/578 |
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