Fixed points of multivalued nonlinear F-contractions on complete metric spaces
We introduce a new concept for multivalued maps, also called multivalued nonlinear F-contraction, and give a fixed point result. Our result is a proper generalization of some recent fixed point theorems including the famous theorem of Klim and Wardowski [D. Klim, D. Wardowski, Fixed point theorems f...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2016-03-01
|
| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13483 |
| _version_ | 1811330094023573504 |
|---|---|
| author | Ishak Altun Gülhan Mınak Murat Olgun |
| author_facet | Ishak Altun Gülhan Mınak Murat Olgun |
| author_sort | Ishak Altun |
| collection | DOAJ |
| description | We introduce a new concept for multivalued maps, also called multivalued nonlinear F-contraction, and give a fixed point result. Our result is a proper generalization of some recent fixed point theorems including the famous theorem of Klim and Wardowski [D. Klim, D. Wardowski, Fixed point theorems for set-valued contractions in complete metric spaces, J. Math. Anal. Appl., 334(1):132–139, 2007]. |
| first_indexed | 2024-04-13T15:55:32Z |
| format | Article |
| id | doaj.art-ac1d960d8e234f08a9cf519dc7744ef2 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-04-13T15:55:32Z |
| publishDate | 2016-03-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-ac1d960d8e234f08a9cf519dc7744ef22022-12-22T02:40:43ZengVilnius University PressNonlinear Analysis1392-51132335-89632016-03-0121210.15388/NA.2016.2.4Fixed points of multivalued nonlinear F-contractions on complete metric spacesIshak Altun0Gülhan Mınak1Murat Olgun2Kirikkale University, TurkeyKirikkale University, TurkeyAnkara University, TurkeyWe introduce a new concept for multivalued maps, also called multivalued nonlinear F-contraction, and give a fixed point result. Our result is a proper generalization of some recent fixed point theorems including the famous theorem of Klim and Wardowski [D. Klim, D. Wardowski, Fixed point theorems for set-valued contractions in complete metric spaces, J. Math. Anal. Appl., 334(1):132–139, 2007].http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13483fixed pointmultivalued mapsnonlinear F-contractioncomplete metric space |
| spellingShingle | Ishak Altun Gülhan Mınak Murat Olgun Fixed points of multivalued nonlinear F-contractions on complete metric spaces Nonlinear Analysis fixed point multivalued maps nonlinear F-contraction complete metric space |
| title | Fixed points of multivalued nonlinear F-contractions on complete metric spaces |
| title_full | Fixed points of multivalued nonlinear F-contractions on complete metric spaces |
| title_fullStr | Fixed points of multivalued nonlinear F-contractions on complete metric spaces |
| title_full_unstemmed | Fixed points of multivalued nonlinear F-contractions on complete metric spaces |
| title_short | Fixed points of multivalued nonlinear F-contractions on complete metric spaces |
| title_sort | fixed points of multivalued nonlinear f contractions on complete metric spaces |
| topic | fixed point multivalued maps nonlinear F-contraction complete metric space |
| url | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13483 |
| work_keys_str_mv | AT ishakaltun fixedpointsofmultivaluednonlinearfcontractionsoncompletemetricspaces AT gulhanmınak fixedpointsofmultivaluednonlinearfcontractionsoncompletemetricspaces AT muratolgun fixedpointsofmultivaluednonlinearfcontractionsoncompletemetricspaces |