Discussion on Generalized-(αψ, βφ)-Contractive Mappings via Generalized Altering Distance Function and Related Fixed Point Theorems
We extend the notion of (αψ, βφ)-contractive mapping, a very recent concept by Berzig and Karapinar. This allows us to consider contractive conditions that generalize a wide range of nonexpansive mappings in the setting of metric spaces provided with binary relations that are not necessarily neither...
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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/10.1155/2014/259768 |
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| _version_ | 1832548733463560192 |
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| author | Maher Berzig Erdal Karapınar Antonio-Francisco Roldán-López-de-Hierro |
| author_facet | Maher Berzig Erdal Karapınar Antonio-Francisco Roldán-López-de-Hierro |
| author_sort | Maher Berzig |
| collection | DOAJ |
| description | We extend the notion of (αψ, βφ)-contractive mapping, a very recent concept by Berzig and Karapinar. This allows us to consider contractive conditions that generalize a wide range of nonexpansive mappings in the setting of metric spaces provided with binary relations that are not necessarily neither partial orders nor preorders. Thus, using this kind of contractive mappings, we show some related fixed point theorems that improve some well known recent results and can be applied in a variety of contexts. |
| format | Article |
| id | doaj-art-73f653e2f60c42678bfb74bdf3c9f3f8 |
| 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-73f653e2f60c42678bfb74bdf3c9f3f82025-02-03T06:13:14ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/259768259768Discussion on Generalized-(αψ, βφ)-Contractive Mappings via Generalized Altering Distance Function and Related Fixed Point TheoremsMaher Berzig0Erdal Karapınar1Antonio-Francisco Roldán-López-de-Hierro2Tunis College of Sciences and Techniques, Tunis University, 5 Avenue Taha Hussein, Tunis, TunisiaDepartment of Mathematics, Atilim University, Incek, 06836 Ankara, TurkeyDepartment of Mathematics, University of Jaén, Campus las Lagunillas s/n, 23071 Jaén, SpainWe extend the notion of (αψ, βφ)-contractive mapping, a very recent concept by Berzig and Karapinar. This allows us to consider contractive conditions that generalize a wide range of nonexpansive mappings in the setting of metric spaces provided with binary relations that are not necessarily neither partial orders nor preorders. Thus, using this kind of contractive mappings, we show some related fixed point theorems that improve some well known recent results and can be applied in a variety of contexts.http://dx.doi.org/10.1155/2014/259768 |
| spellingShingle | Maher Berzig Erdal Karapınar Antonio-Francisco Roldán-López-de-Hierro Discussion on Generalized-(αψ, βφ)-Contractive Mappings via Generalized Altering Distance Function and Related Fixed Point Theorems Abstract and Applied Analysis |
| title | Discussion on Generalized-(αψ, βφ)-Contractive Mappings via Generalized Altering Distance Function and Related Fixed Point Theorems |
| title_full | Discussion on Generalized-(αψ, βφ)-Contractive Mappings via Generalized Altering Distance Function and Related Fixed Point Theorems |
| title_fullStr | Discussion on Generalized-(αψ, βφ)-Contractive Mappings via Generalized Altering Distance Function and Related Fixed Point Theorems |
| title_full_unstemmed | Discussion on Generalized-(αψ, βφ)-Contractive Mappings via Generalized Altering Distance Function and Related Fixed Point Theorems |
| title_short | Discussion on Generalized-(αψ, βφ)-Contractive Mappings via Generalized Altering Distance Function and Related Fixed Point Theorems |
| title_sort | discussion on generalized αψ βφ contractive mappings via generalized altering distance function and related fixed point theorems |
| url | http://dx.doi.org/10.1155/2014/259768 |
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