Invariant Approximation Results via Common Fixed Point Theorems for Generalized Weak Contraction Maps
A common fixed point theorem for generalized φ,ϕ,L f,g-weak contraction in a metric space is established. As an application, some common fixed point results in normed linear spaces are obtained. We also study some results on best approximation via common fixed point theorems. Our result improves som...
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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/10.1155/2014/752107 |
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| _version_ | 1832558581575057408 |
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| author | Savita Rathee Anil Kumar Kenan Tas |
| author_facet | Savita Rathee Anil Kumar Kenan Tas |
| author_sort | Savita Rathee |
| collection | DOAJ |
| description | A common fixed point theorem for generalized φ,ϕ,L f,g-weak contraction in a metric space is established. As an application, some common fixed point results in normed linear spaces are obtained. We also study some results on best approximation via common fixed point theorems. Our result improves some results from the existing literature. Some illustrative examples to highlight the realized improvements are also furnished. |
| format | Article |
| id | doaj-art-425e1b7a172e4d31ae268f5974f621bc |
| 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-425e1b7a172e4d31ae268f5974f621bc2025-02-03T01:32:02ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/752107752107Invariant Approximation Results via Common Fixed Point Theorems for Generalized Weak Contraction MapsSavita Rathee0Anil Kumar1Kenan Tas2Department of Mathematics, Maharshi Dayanand University, Rohtak, Haryana 124001, IndiaDepartment of Mathematics, Maharshi Dayanand University, Rohtak, Haryana 124001, IndiaDepartment of Mathematics and Computer Science, Cankaya University, Ankara, TurkeyA common fixed point theorem for generalized φ,ϕ,L f,g-weak contraction in a metric space is established. As an application, some common fixed point results in normed linear spaces are obtained. We also study some results on best approximation via common fixed point theorems. Our result improves some results from the existing literature. Some illustrative examples to highlight the realized improvements are also furnished.http://dx.doi.org/10.1155/2014/752107 |
| spellingShingle | Savita Rathee Anil Kumar Kenan Tas Invariant Approximation Results via Common Fixed Point Theorems for Generalized Weak Contraction Maps Abstract and Applied Analysis |
| title | Invariant Approximation Results via Common Fixed Point Theorems for Generalized Weak Contraction Maps |
| title_full | Invariant Approximation Results via Common Fixed Point Theorems for Generalized Weak Contraction Maps |
| title_fullStr | Invariant Approximation Results via Common Fixed Point Theorems for Generalized Weak Contraction Maps |
| title_full_unstemmed | Invariant Approximation Results via Common Fixed Point Theorems for Generalized Weak Contraction Maps |
| title_short | Invariant Approximation Results via Common Fixed Point Theorems for Generalized Weak Contraction Maps |
| title_sort | invariant approximation results via common fixed point theorems for generalized weak contraction maps |
| url | http://dx.doi.org/10.1155/2014/752107 |
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