The Study of Fixed Point Theory for Various Multivalued Non-Self-Maps
The basic motivation of this paper is to extend, generalize, and improve several fundamental results on the existence (and uniqueness) of coincidence points and fixed points for well-known maps in the literature such as Kannan type, Chatterjea type, Mizoguchi-Takahashi type, Berinde-Berinde type, Du...
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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/10.1155/2013/938724 |
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| _version_ | 1832551691608653824 |
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| author | Wei-Shih Du Erdal Karapınar Naseer Shahzad |
| author_facet | Wei-Shih Du Erdal Karapınar Naseer Shahzad |
| author_sort | Wei-Shih Du |
| collection | DOAJ |
| description | The basic motivation of this paper is to extend, generalize, and improve several fundamental results on the existence (and uniqueness) of coincidence points and fixed points for well-known maps in the literature such as Kannan type, Chatterjea type, Mizoguchi-Takahashi type, Berinde-Berinde type, Du type, and other types from the class of self-maps to the class of non-self-maps in the framework of the metric fixed point theory. We establish some fixed/coincidence point theorems for multivalued non-self-maps in the context of complete metric spaces. |
| format | Article |
| id | doaj-art-9f2cebd39b8f4851a607682807128876 |
| 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-9f2cebd39b8f4851a6076828071288762025-02-03T06:00:46ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/938724938724The Study of Fixed Point Theory for Various Multivalued Non-Self-MapsWei-Shih Du0Erdal Karapınar1Naseer Shahzad2Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 824, TaiwanDepartment of Mathematics, Atilim University, İncek, 06836 Ankara, TurkeyDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21859, Saudi ArabiaThe basic motivation of this paper is to extend, generalize, and improve several fundamental results on the existence (and uniqueness) of coincidence points and fixed points for well-known maps in the literature such as Kannan type, Chatterjea type, Mizoguchi-Takahashi type, Berinde-Berinde type, Du type, and other types from the class of self-maps to the class of non-self-maps in the framework of the metric fixed point theory. We establish some fixed/coincidence point theorems for multivalued non-self-maps in the context of complete metric spaces.http://dx.doi.org/10.1155/2013/938724 |
| spellingShingle | Wei-Shih Du Erdal Karapınar Naseer Shahzad The Study of Fixed Point Theory for Various Multivalued Non-Self-Maps Abstract and Applied Analysis |
| title | The Study of Fixed Point Theory for Various Multivalued Non-Self-Maps |
| title_full | The Study of Fixed Point Theory for Various Multivalued Non-Self-Maps |
| title_fullStr | The Study of Fixed Point Theory for Various Multivalued Non-Self-Maps |
| title_full_unstemmed | The Study of Fixed Point Theory for Various Multivalued Non-Self-Maps |
| title_short | The Study of Fixed Point Theory for Various Multivalued Non-Self-Maps |
| title_sort | study of fixed point theory for various multivalued non self maps |
| url | http://dx.doi.org/10.1155/2013/938724 |
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