Best Proximity Point Theorems for Cyclic Relatively ρ-Nonexpansive Mappings in Modular Spaces
In this paper we introduce the notion of proximal ρ-normal structure of pair of ρ-admissible sets in modular spaces. We prove some results of best proximity points in this setting without recourse to Zorn’s lemma. We provide some examples to support our conclusions.
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2018/8084712 |
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| author | Karim Chaira Samih Lazaiz |
| author_facet | Karim Chaira Samih Lazaiz |
| author_sort | Karim Chaira |
| collection | DOAJ |
| description | In this paper we introduce the notion of proximal ρ-normal structure of pair of ρ-admissible sets in modular spaces. We prove some results of best proximity points in this setting without recourse to Zorn’s lemma. We provide some examples to support our conclusions. |
| format | Article |
| id | doaj-art-612d93eb2eeb4b03a3f09eab9512d9d9 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-612d93eb2eeb4b03a3f09eab9512d9d92025-02-03T01:26:21ZengWileyAbstract and Applied Analysis1085-33751687-04092018-01-01201810.1155/2018/80847128084712Best Proximity Point Theorems for Cyclic Relatively ρ-Nonexpansive Mappings in Modular SpacesKarim Chaira0Samih Lazaiz1Laboratory of Algebra Analysis and Applications, Department of Mathematics and Computer Sciences, Faculty of sciences Ben M’Sik, Hassan II University of Casablanca, BP 7955, Sidi Othman, Casablanca, MoroccoDepartment of Mathematics, Faculty of Sciences, Dhar El Mahraz University, Sidi Mohamed Ben Abdellah, Fes, MoroccoIn this paper we introduce the notion of proximal ρ-normal structure of pair of ρ-admissible sets in modular spaces. We prove some results of best proximity points in this setting without recourse to Zorn’s lemma. We provide some examples to support our conclusions.http://dx.doi.org/10.1155/2018/8084712 |
| spellingShingle | Karim Chaira Samih Lazaiz Best Proximity Point Theorems for Cyclic Relatively ρ-Nonexpansive Mappings in Modular Spaces Abstract and Applied Analysis |
| title | Best Proximity Point Theorems for Cyclic Relatively ρ-Nonexpansive Mappings in Modular Spaces |
| title_full | Best Proximity Point Theorems for Cyclic Relatively ρ-Nonexpansive Mappings in Modular Spaces |
| title_fullStr | Best Proximity Point Theorems for Cyclic Relatively ρ-Nonexpansive Mappings in Modular Spaces |
| title_full_unstemmed | Best Proximity Point Theorems for Cyclic Relatively ρ-Nonexpansive Mappings in Modular Spaces |
| title_short | Best Proximity Point Theorems for Cyclic Relatively ρ-Nonexpansive Mappings in Modular Spaces |
| title_sort | best proximity point theorems for cyclic relatively ρ nonexpansive mappings in modular spaces |
| url | http://dx.doi.org/10.1155/2018/8084712 |
| work_keys_str_mv | AT karimchaira bestproximitypointtheoremsforcyclicrelativelyrnonexpansivemappingsinmodularspaces AT samihlazaiz bestproximitypointtheoremsforcyclicrelativelyrnonexpansivemappingsinmodularspaces |