Some fixed point theorems on nonlinear contractive mappings in Hilbert space
The purpose of this paper is to establish the existence and uniqueness of a common fixed point for a pair of continuous self mappings over a closed subset of Hilbert space satisfying certain nonlinear rational type contraction condition. Further this result is extended and generalized for some posit...
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| Format: | Article |
| Language: | English |
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EJAAM
2020-06-01
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| Series: | E-Journal of Analysis and Applied Mathematics |
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| Online Access: | https://ejaam.org/articles/2020/10.2478-ejaam-2020-0001.pdf |
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| author | Namana Seshagiri Rao Karusala Kalyani |
| author_facet | Namana Seshagiri Rao Karusala Kalyani |
| author_sort | Namana Seshagiri Rao |
| collection | DOAJ |
| description | The purpose of this paper is to establish the existence and uniqueness of a common fixed point for a pair of continuous self mappings over a closed subset of Hilbert space satisfying certain nonlinear rational type contraction condition. Further this result is extended and generalized for some positive integers powers of a pair of continuous self mappings and then is devolved for a sequence of continuous self mappings in the Hilbert space. Our results generalize and extend many well known results in the literature. |
| format | Article |
| id | doaj-art-31ecd5d4033a4ada97091171831a5be7 |
| institution | Kabale University |
| issn | 2544-9990 |
| language | English |
| publishDate | 2020-06-01 |
| publisher | EJAAM |
| record_format | Article |
| series | E-Journal of Analysis and Applied Mathematics |
| spelling | doaj-art-31ecd5d4033a4ada97091171831a5be72025-02-08T18:35:22ZengEJAAME-Journal of Analysis and Applied Mathematics2544-99902020-06-01202010.2478/ejaam-2020-0001Some fixed point theorems on nonlinear contractive mappings in Hilbert spaceNamana Seshagiri Rao0Karusala Kalyani1Department of Applied Mathematics, School of Applied Natural Science, Adama Science and Technology University, Post Box No.1888, Adama, EthiopiaDepartment of Mathematics, Vignan’s Foundation for Science, Technology & Research, Vadlamudi-522213, Andhra Pradesh, India.The purpose of this paper is to establish the existence and uniqueness of a common fixed point for a pair of continuous self mappings over a closed subset of Hilbert space satisfying certain nonlinear rational type contraction condition. Further this result is extended and generalized for some positive integers powers of a pair of continuous self mappings and then is devolved for a sequence of continuous self mappings in the Hilbert space. Our results generalize and extend many well known results in the literature.https://ejaam.org/articles/2020/10.2478-ejaam-2020-0001.pdfhilbert spaceclosed subsetcauchy sequencecompleteness |
| spellingShingle | Namana Seshagiri Rao Karusala Kalyani Some fixed point theorems on nonlinear contractive mappings in Hilbert space E-Journal of Analysis and Applied Mathematics hilbert space closed subset cauchy sequence completeness |
| title | Some fixed point theorems on nonlinear contractive mappings in Hilbert space |
| title_full | Some fixed point theorems on nonlinear contractive mappings in Hilbert space |
| title_fullStr | Some fixed point theorems on nonlinear contractive mappings in Hilbert space |
| title_full_unstemmed | Some fixed point theorems on nonlinear contractive mappings in Hilbert space |
| title_short | Some fixed point theorems on nonlinear contractive mappings in Hilbert space |
| title_sort | some fixed point theorems on nonlinear contractive mappings in hilbert space |
| topic | hilbert space closed subset cauchy sequence completeness |
| url | https://ejaam.org/articles/2020/10.2478-ejaam-2020-0001.pdf |
| work_keys_str_mv | AT namanaseshagirirao somefixedpointtheoremsonnonlinearcontractivemappingsinhilbertspace AT karusalakalyani somefixedpointtheoremsonnonlinearcontractivemappingsinhilbertspace |