A Note on the Fixed Point of Generalized Eventual Cyclic Gross Contractive Mappings
Based on the work of Agarwal et al., in press, we introduce a concept of generalized eventual cyclic gross contractive mapping in metric spaces, which is a generalization of the eventual cyclic gross contractions. Furthermore, we analyze the existence of a fixed point for this type of contractive m...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/934758 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832552435169624064 |
|---|---|
| author | Jin Liang Sheng-Hua Yan |
| author_facet | Jin Liang Sheng-Hua Yan |
| author_sort | Jin Liang |
| collection | DOAJ |
| description | Based on the work of Agarwal et al., in press, we introduce a concept of generalized eventual cyclic gross contractive mapping in metric spaces, which is a generalization of the eventual cyclic gross contractions. Furthermore, we analyze the existence of a fixed point for this type of contractive mapping, and present a new and general fixed point theorem. |
| format | Article |
| id | doaj-art-60578d45b5d843c382804edd32b299c8 |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-60578d45b5d843c382804edd32b299c82025-02-03T05:58:37ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/934758934758A Note on the Fixed Point of Generalized Eventual Cyclic Gross Contractive MappingsJin Liang0Sheng-Hua Yan1Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, ChinaDepartment of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, ChinaBased on the work of Agarwal et al., in press, we introduce a concept of generalized eventual cyclic gross contractive mapping in metric spaces, which is a generalization of the eventual cyclic gross contractions. Furthermore, we analyze the existence of a fixed point for this type of contractive mapping, and present a new and general fixed point theorem.http://dx.doi.org/10.1155/2013/934758 |
| spellingShingle | Jin Liang Sheng-Hua Yan A Note on the Fixed Point of Generalized Eventual Cyclic Gross Contractive Mappings Journal of Function Spaces and Applications |
| title | A Note on the Fixed Point of Generalized Eventual Cyclic Gross Contractive Mappings |
| title_full | A Note on the Fixed Point of Generalized Eventual Cyclic Gross Contractive Mappings |
| title_fullStr | A Note on the Fixed Point of Generalized Eventual Cyclic Gross Contractive Mappings |
| title_full_unstemmed | A Note on the Fixed Point of Generalized Eventual Cyclic Gross Contractive Mappings |
| title_short | A Note on the Fixed Point of Generalized Eventual Cyclic Gross Contractive Mappings |
| title_sort | note on the fixed point of generalized eventual cyclic gross contractive mappings |
| url | http://dx.doi.org/10.1155/2013/934758 |
| work_keys_str_mv | AT jinliang anoteonthefixedpointofgeneralizedeventualcyclicgrosscontractivemappings AT shenghuayan anoteonthefixedpointofgeneralizedeventualcyclicgrosscontractivemappings AT jinliang noteonthefixedpointofgeneralizedeventualcyclicgrosscontractivemappings AT shenghuayan noteonthefixedpointofgeneralizedeventualcyclicgrosscontractivemappings |