Fixed Point and Acute Point Theorems for New Mappings in a Banach Space
In a Hilbert space, concepts of attractive point and acute point are studied by many researchers. Moreover, these concepts extended to Banach space. In this paper, we introduce a new class of mappings on Banach space corresponding to the class of all widely more generalized hybrid mappings on Hilber...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2019/5874305 |
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| _version_ | 1832561635634446336 |
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| author | Toshiharu Kawasaki |
| author_facet | Toshiharu Kawasaki |
| author_sort | Toshiharu Kawasaki |
| collection | DOAJ |
| description | In a Hilbert space, concepts of attractive point and acute point are studied by many researchers. Moreover, these concepts extended to Banach space. In this paper, we introduce a new class of mappings on Banach space corresponding to the class of all widely more generalized hybrid mappings on Hilbert space. Moreover, we introduce some extensions of acute point and prove some acute point theorems. |
| format | Article |
| id | doaj-art-530475426a1e4ce6a472d9dddce633f9 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-530475426a1e4ce6a472d9dddce633f92025-02-03T01:24:32ZengWileyJournal of Mathematics2314-46292314-47852019-01-01201910.1155/2019/58743055874305Fixed Point and Acute Point Theorems for New Mappings in a Banach SpaceToshiharu Kawasaki0College of Engineering, Nihon University, Fukushima 963–8642, JapanIn a Hilbert space, concepts of attractive point and acute point are studied by many researchers. Moreover, these concepts extended to Banach space. In this paper, we introduce a new class of mappings on Banach space corresponding to the class of all widely more generalized hybrid mappings on Hilbert space. Moreover, we introduce some extensions of acute point and prove some acute point theorems.http://dx.doi.org/10.1155/2019/5874305 |
| spellingShingle | Toshiharu Kawasaki Fixed Point and Acute Point Theorems for New Mappings in a Banach Space Journal of Mathematics |
| title | Fixed Point and Acute Point Theorems for New Mappings in a Banach Space |
| title_full | Fixed Point and Acute Point Theorems for New Mappings in a Banach Space |
| title_fullStr | Fixed Point and Acute Point Theorems for New Mappings in a Banach Space |
| title_full_unstemmed | Fixed Point and Acute Point Theorems for New Mappings in a Banach Space |
| title_short | Fixed Point and Acute Point Theorems for New Mappings in a Banach Space |
| title_sort | fixed point and acute point theorems for new mappings in a banach space |
| url | http://dx.doi.org/10.1155/2019/5874305 |
| work_keys_str_mv | AT toshiharukawasaki fixedpointandacutepointtheoremsfornewmappingsinabanachspace |