Fixed Point Theorems in Cone Banach Spaces
In this manuscript, a class of self-mappings on cone Banach spaces which have at least one fixed point is considered. More precisely, for a closed and convex subset C of a cone Banach space with the norm ∥x∥P=d(x,0), if there exist a, b, s and T:C→C satisfies the...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2009-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://dx.doi.org/10.1155/2009/609281 |
| _version_ | 1798027327481839616 |
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| author | Erdal Karapınar |
| author_facet | Erdal Karapınar |
| author_sort | Erdal Karapınar |
| collection | DOAJ |
| description | In this manuscript, a class of self-mappings on cone Banach spaces which have at least one fixed point is considered. More precisely, for a closed and convex subset C of a cone Banach space with the norm ∥x∥P=d(x,0), if there exist a, b, s and T:C→C satisfies the conditions 0≤s+|a|−2b<2(a+b) and 4ad(Tx,Ty)+b(d(x,Tx)+d(y,Ty))≤sd(x,y) for all x,y∈C , then T has at least one Fixed point. |
| first_indexed | 2024-04-11T18:50:43Z |
| format | Article |
| id | doaj.art-687a14209b35489bbbc060fa19071b21 |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-04-11T18:50:43Z |
| publishDate | 2009-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-687a14209b35489bbbc060fa19071b212022-12-22T04:08:25ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122009-01-01200910.1155/2009/609281Fixed Point Theorems in Cone Banach SpacesErdal Karap&#x131;narIn this manuscript, a class of self-mappings on cone Banach spaces which have at least one fixed point is considered. More precisely, for a closed and convex subset C of a cone Banach space with the norm ∥x∥P=d(x,0), if there exist a, b, s and T:C→C satisfies the conditions 0≤s+|a|−2b<2(a+b) and 4ad(Tx,Ty)+b(d(x,Tx)+d(y,Ty))≤sd(x,y) for all x,y∈C , then T has at least one Fixed point.http://dx.doi.org/10.1155/2009/609281 |
| spellingShingle | Erdal Karap&#x131;nar Fixed Point Theorems in Cone Banach Spaces Fixed Point Theory and Applications |
| title | Fixed Point Theorems in Cone Banach Spaces |
| title_full | Fixed Point Theorems in Cone Banach Spaces |
| title_fullStr | Fixed Point Theorems in Cone Banach Spaces |
| title_full_unstemmed | Fixed Point Theorems in Cone Banach Spaces |
| title_short | Fixed Point Theorems in Cone Banach Spaces |
| title_sort | fixed point theorems in cone banach spaces |
| url | http://dx.doi.org/10.1155/2009/609281 |
| work_keys_str_mv | AT erdalkarapampx131nar fixedpointtheoremsinconebanachspaces |