Krasnosel’skii Type Hybrid Fixed Point Theorems and Their Applications to Fractional Integral Equations
Some hybrid fixed point theorems of Krasnosel’skii type, which involve product of two operators, are proved in partially ordered normed linear spaces. These hybrid fixed point theorems are then applied to fractional integral equations for proving the existence of solutions under certain monotonicity...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/710746 |
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| author | H. M. Srivastava Sachin V. Bedre S. M. Khairnar B. S. Desale |
| author_facet | H. M. Srivastava Sachin V. Bedre S. M. Khairnar B. S. Desale |
| author_sort | H. M. Srivastava |
| collection | DOAJ |
| description | Some hybrid fixed point theorems of Krasnosel’skii type, which involve product of two operators, are proved in partially ordered normed linear spaces. These hybrid fixed point theorems are then applied to fractional integral equations for proving the existence of solutions under certain monotonicity conditions blending with the existence of the upper or lower solution. |
| format | Article |
| id | doaj-art-b0bc00b0cca446b0a0d4b67e417d5f9c |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b0bc00b0cca446b0a0d4b67e417d5f9c2025-02-03T01:28:03ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/710746710746Krasnosel’skii Type Hybrid Fixed Point Theorems and Their Applications to Fractional Integral EquationsH. M. Srivastava0Sachin V. Bedre1S. M. Khairnar2B. S. Desale3Department of Mathematics and Statistics, University of Victoria, Victoria, BC, V8W 3R4, CanadaDepartment of Mathematics, Mahatma Gandhi Mahavidyalaya, Ahmedpur, District Latur, Maharashtra 413515, IndiaDepartment of Engineering Sciences, MIT Academy of Engineering, Alandi, Pune, Maharashtra 412105, IndiaDepartment of Mathematics, University of Mumbai, Mumbai, Maharashtra 400032, IndiaSome hybrid fixed point theorems of Krasnosel’skii type, which involve product of two operators, are proved in partially ordered normed linear spaces. These hybrid fixed point theorems are then applied to fractional integral equations for proving the existence of solutions under certain monotonicity conditions blending with the existence of the upper or lower solution.http://dx.doi.org/10.1155/2014/710746 |
| spellingShingle | H. M. Srivastava Sachin V. Bedre S. M. Khairnar B. S. Desale Krasnosel’skii Type Hybrid Fixed Point Theorems and Their Applications to Fractional Integral Equations Abstract and Applied Analysis |
| title | Krasnosel’skii Type Hybrid Fixed Point Theorems and Their Applications to Fractional Integral Equations |
| title_full | Krasnosel’skii Type Hybrid Fixed Point Theorems and Their Applications to Fractional Integral Equations |
| title_fullStr | Krasnosel’skii Type Hybrid Fixed Point Theorems and Their Applications to Fractional Integral Equations |
| title_full_unstemmed | Krasnosel’skii Type Hybrid Fixed Point Theorems and Their Applications to Fractional Integral Equations |
| title_short | Krasnosel’skii Type Hybrid Fixed Point Theorems and Their Applications to Fractional Integral Equations |
| title_sort | krasnosel skii type hybrid fixed point theorems and their applications to fractional integral equations |
| url | http://dx.doi.org/10.1155/2014/710746 |
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