Geodesic
Some fixed point theorems for contractive mapping in ordered vector metric spaces
Çevik, Cüneyt1 ; Altun, Ishak2 ; Şahin, Hakan3 ; Özeken, Çetin Cemal1
1 Department of Mathematics, Faculty of Science, Gazi University, 06500 Teknikokullar, Ankara, Turkey
2 Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia;Department of Mathematics, Faculty of Science, Kırıkkale University, Kırıkkale, Turkey
3 Department of Mathematics, Faculty of Science, Gazi University, 06500 Teknikokullar, Ankara, Turkey;Department of Mathematics, Faculty of Science, Amasya University, Amasya, Turkey
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 4, p. 1424-1432.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, considering an order relation on a vector metric space which is introduced by Çevik and Altun in 2009, we present some fundamental fixed point results. Then, we provide some nontrivial examples show that the investigation of this work is significant.
DOI : 10.22436/jnsa.010.04.12
Classification : 47H10, 54H25, 46A40
Keywords: Fixed point, Riesz space, vector metric space.

Çevik, Cüneyt 1 ; Altun, Ishak 2 ; Şahin, Hakan 3 ; Özeken, Çetin Cemal 1

1 Department of Mathematics, Faculty of Science, Gazi University, 06500 Teknikokullar, Ankara, Turkey
2 Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia;Department of Mathematics, Faculty of Science, Kırıkkale University, Kırıkkale, Turkey
3 Department of Mathematics, Faculty of Science, Gazi University, 06500 Teknikokullar, Ankara, Turkey;Department of Mathematics, Faculty of Science, Amasya University, Amasya, Turkey 
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Çevik, Cüneyt; Altun, Ishak; Şahin, Hakan; Özeken, Çetin Cemal. Some fixed point theorems for contractive mapping in ordered vector metric spaces. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 4, p. 1424-1432. doi : 10.22436/jnsa.010.04.12. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.04.12/

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