A Note on Various Classes of Compatible-Type Pairs of Mappings and Common Fixed Point Theorems
Several authors have introduced various conditions which can be used in order to prove common fixed point results. However, it became clear recently that some of these conditions, though formally distinct from each other, actually coincide in the case when the given mappings have a unique point of c...
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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/10.1155/2013/697151 |
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| author | Zoran Kadelburg Stojan Radenović Naseer Shahzad |
| author_facet | Zoran Kadelburg Stojan Radenović Naseer Shahzad |
| author_sort | Zoran Kadelburg |
| collection | DOAJ |
| description | Several authors have introduced various conditions which can be used in order to prove common fixed point results. However, it became clear recently that some of these conditions, though formally distinct from each other, actually coincide in the case when the given mappings have a unique point of coincidence. Hence, in fact, new common fixed point results cannot be obtained in this way. We make a review of such connections and results in this paper. |
| format | Article |
| id | doaj-art-a4883af165ac4a55b295f82079e98198 |
| 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-a4883af165ac4a55b295f82079e981982025-02-03T01:01:49ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/697151697151A Note on Various Classes of Compatible-Type Pairs of Mappings and Common Fixed Point TheoremsZoran Kadelburg0Stojan Radenović1Naseer Shahzad2Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11000 Beograd, SerbiaFaculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, SerbiaDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589 , Saudi ArabiaSeveral authors have introduced various conditions which can be used in order to prove common fixed point results. However, it became clear recently that some of these conditions, though formally distinct from each other, actually coincide in the case when the given mappings have a unique point of coincidence. Hence, in fact, new common fixed point results cannot be obtained in this way. We make a review of such connections and results in this paper.http://dx.doi.org/10.1155/2013/697151 |
| spellingShingle | Zoran Kadelburg Stojan Radenović Naseer Shahzad A Note on Various Classes of Compatible-Type Pairs of Mappings and Common Fixed Point Theorems Abstract and Applied Analysis |
| title | A Note on Various Classes of Compatible-Type Pairs of Mappings and Common Fixed Point Theorems |
| title_full | A Note on Various Classes of Compatible-Type Pairs of Mappings and Common Fixed Point Theorems |
| title_fullStr | A Note on Various Classes of Compatible-Type Pairs of Mappings and Common Fixed Point Theorems |
| title_full_unstemmed | A Note on Various Classes of Compatible-Type Pairs of Mappings and Common Fixed Point Theorems |
| title_short | A Note on Various Classes of Compatible-Type Pairs of Mappings and Common Fixed Point Theorems |
| title_sort | note on various classes of compatible type pairs of mappings and common fixed point theorems |
| url | http://dx.doi.org/10.1155/2013/697151 |
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