Global optimization using $\alpha$-ordered proximal contractions in metric spaces with partial orders
The purpose of this article is to establish the global optimization with partial orders for the pair of non-self mappings, by introducing new type of contractions like $\alpha$-ordered contractions and $\alpha$-ordered proximal contraction in the frame work of complete metric spaces. Also calculates...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Universitat Politècnica de València
2016-10-01
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| Series: | Applied General Topology |
| Subjects: | |
| Online Access: | http://polipapers.upv.es/index.php/AGT/article/view/5180 |
| _version_ | 1818841308783968256 |
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| author | Somayya Komal Poom Kumam |
| author_facet | Somayya Komal Poom Kumam |
| author_sort | Somayya Komal |
| collection | DOAJ |
| description | The purpose of this article is to establish the global optimization with partial orders for the pair of non-self mappings, by introducing new type of contractions like $\alpha$-ordered contractions and $\alpha$-ordered proximal contraction in the frame work of complete metric spaces. Also calculates some fixed point theorems with the help of these generalized contractions. In addition, established an example to show the validity of our main result. These results extended and unify many existing results in the literature. |
| first_indexed | 2024-12-19T04:24:01Z |
| format | Article |
| id | doaj.art-316bf0b8a3354f048125e085f4abee27 |
| institution | Directory Open Access Journal |
| issn | 1576-9402 1989-4147 |
| language | English |
| last_indexed | 2024-12-19T04:24:01Z |
| publishDate | 2016-10-01 |
| publisher | Universitat Politècnica de València |
| record_format | Article |
| series | Applied General Topology |
| spelling | doaj.art-316bf0b8a3354f048125e085f4abee272022-12-21T20:36:04ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472016-10-0117217318310.4995/agt.2016.51804859Global optimization using $\alpha$-ordered proximal contractions in metric spaces with partial ordersSomayya KomalPoom KumamThe purpose of this article is to establish the global optimization with partial orders for the pair of non-self mappings, by introducing new type of contractions like $\alpha$-ordered contractions and $\alpha$-ordered proximal contraction in the frame work of complete metric spaces. Also calculates some fixed point theorems with the help of these generalized contractions. In addition, established an example to show the validity of our main result. These results extended and unify many existing results in the literature.http://polipapers.upv.es/index.php/AGT/article/view/5180common best proximity pointglobal optimal approximate solutionproximally increasing mappings$\alpha$-ordered contractions$\alpha$-ordered proximal contraction$\alpha$-ordered proximal cyclic contraction. |
| spellingShingle | Somayya Komal Poom Kumam Global optimization using $\alpha$-ordered proximal contractions in metric spaces with partial orders Applied General Topology common best proximity point global optimal approximate solution proximally increasing mappings $\alpha$-ordered contractions $\alpha$-ordered proximal contraction $\alpha$-ordered proximal cyclic contraction. |
| title | Global optimization using $\alpha$-ordered proximal contractions in metric spaces with partial orders |
| title_full | Global optimization using $\alpha$-ordered proximal contractions in metric spaces with partial orders |
| title_fullStr | Global optimization using $\alpha$-ordered proximal contractions in metric spaces with partial orders |
| title_full_unstemmed | Global optimization using $\alpha$-ordered proximal contractions in metric spaces with partial orders |
| title_short | Global optimization using $\alpha$-ordered proximal contractions in metric spaces with partial orders |
| title_sort | global optimization using alpha ordered proximal contractions in metric spaces with partial orders |
| topic | common best proximity point global optimal approximate solution proximally increasing mappings $\alpha$-ordered contractions $\alpha$-ordered proximal contraction $\alpha$-ordered proximal cyclic contraction. |
| url | http://polipapers.upv.es/index.php/AGT/article/view/5180 |
| work_keys_str_mv | AT somayyakomal globaloptimizationusingalphaorderedproximalcontractionsinmetricspaceswithpartialorders AT poomkumam globaloptimizationusingalphaorderedproximalcontractionsinmetricspaceswithpartialorders |