Ordered Vectorial Quasi and Almost Contractions on Ordered Vector Metric Spaces
In this paper, we define ordered vectorial quasi contractions. We show that ordered quasi contractions are ordered vectorial quasi contractions, but the reverse is not true. We also define ordered vectorial almost contractions and present fixed point theorems for this type of contractions. Hence, we...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-10-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/19/2443 |
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| author | Çetin Cemal Özeken Cüneyt Çevik |
| author_facet | Çetin Cemal Özeken Cüneyt Çevik |
| author_sort | Çetin Cemal Özeken |
| collection | DOAJ |
| description | In this paper, we define ordered vectorial quasi contractions. We show that ordered quasi contractions are ordered vectorial quasi contractions, but the reverse is not true. We also define ordered vectorial almost contractions and present fixed point theorems for this type of contractions. Hence, we disclose many results in the literature. With the help of examples, we illustrate the relationship between these two types of contractions and some others in the literature. |
| first_indexed | 2024-03-10T06:55:17Z |
| format | Article |
| id | doaj.art-b5a84171e65f44bd9079e79331825efe |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T06:55:17Z |
| publishDate | 2021-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-b5a84171e65f44bd9079e79331825efe2023-11-22T16:30:24ZengMDPI AGMathematics2227-73902021-10-01919244310.3390/math9192443Ordered Vectorial Quasi and Almost Contractions on Ordered Vector Metric SpacesÇetin Cemal Özeken0Cüneyt Çevik1Department of Mathematics, Faculty of Science, Gazi University, Teknikokullar, Ankara 06500, TurkeyDepartment of Mathematics, Faculty of Science, Gazi University, Teknikokullar, Ankara 06500, TurkeyIn this paper, we define ordered vectorial quasi contractions. We show that ordered quasi contractions are ordered vectorial quasi contractions, but the reverse is not true. We also define ordered vectorial almost contractions and present fixed point theorems for this type of contractions. Hence, we disclose many results in the literature. With the help of examples, we illustrate the relationship between these two types of contractions and some others in the literature.https://www.mdpi.com/2227-7390/9/19/2443fixed pointRiesz spacepartial ordered metric spacesvector metric spacealmost contractionsordered quasi contractions |
| spellingShingle | Çetin Cemal Özeken Cüneyt Çevik Ordered Vectorial Quasi and Almost Contractions on Ordered Vector Metric Spaces Mathematics fixed point Riesz space partial ordered metric spaces vector metric space almost contractions ordered quasi contractions |
| title | Ordered Vectorial Quasi and Almost Contractions on Ordered Vector Metric Spaces |
| title_full | Ordered Vectorial Quasi and Almost Contractions on Ordered Vector Metric Spaces |
| title_fullStr | Ordered Vectorial Quasi and Almost Contractions on Ordered Vector Metric Spaces |
| title_full_unstemmed | Ordered Vectorial Quasi and Almost Contractions on Ordered Vector Metric Spaces |
| title_short | Ordered Vectorial Quasi and Almost Contractions on Ordered Vector Metric Spaces |
| title_sort | ordered vectorial quasi and almost contractions on ordered vector metric spaces |
| topic | fixed point Riesz space partial ordered metric spaces vector metric space almost contractions ordered quasi contractions |
| url | https://www.mdpi.com/2227-7390/9/19/2443 |
| work_keys_str_mv | AT cetincemalozeken orderedvectorialquasiandalmostcontractionsonorderedvectormetricspaces AT cuneytcevik orderedvectorialquasiandalmostcontractionsonorderedvectormetricspaces |