Convexity of Solutions for an Iterative Equation in Banach Spaces
By applying Schauder's fixed point theorem we investigate the existence of increasing (decreasing) solutions of the iterative equation and further give conditions under which those solutions are convex or concave. As corollaries we obtain results on iterative equation in Banach spaces, where...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/164851 |
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| _version_ | 1832547417202884608 |
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| author | Xiaobing Gong |
| author_facet | Xiaobing Gong |
| author_sort | Xiaobing Gong |
| collection | DOAJ |
| description | By applying Schauder's fixed point theorem we investigate the existence
of increasing (decreasing) solutions of the iterative equation and further give conditions under which those solutions are convex or concave. As corollaries we obtain results on iterative equation
in Banach spaces, where . |
| format | Article |
| id | doaj-art-27cdad1548034b0c96aab8f6aaec7e55 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-27cdad1548034b0c96aab8f6aaec7e552025-02-03T06:44:43ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/164851164851Convexity of Solutions for an Iterative Equation in Banach SpacesXiaobing Gong0Key Laboratory of Numerical Simulation of Sichuan Province, Neijiang, Sichuan 641100, ChinaBy applying Schauder's fixed point theorem we investigate the existence of increasing (decreasing) solutions of the iterative equation and further give conditions under which those solutions are convex or concave. As corollaries we obtain results on iterative equation in Banach spaces, where .http://dx.doi.org/10.1155/2013/164851 |
| spellingShingle | Xiaobing Gong Convexity of Solutions for an Iterative Equation in Banach Spaces Abstract and Applied Analysis |
| title | Convexity of Solutions for an Iterative Equation in Banach Spaces |
| title_full | Convexity of Solutions for an Iterative Equation in Banach Spaces |
| title_fullStr | Convexity of Solutions for an Iterative Equation in Banach Spaces |
| title_full_unstemmed | Convexity of Solutions for an Iterative Equation in Banach Spaces |
| title_short | Convexity of Solutions for an Iterative Equation in Banach Spaces |
| title_sort | convexity of solutions for an iterative equation in banach spaces |
| url | http://dx.doi.org/10.1155/2013/164851 |
| work_keys_str_mv | AT xiaobinggong convexityofsolutionsforaniterativeequationinbanachspaces |