Geodesic
Fixed point theorems for partial $\alpha-\psi$ contractive mappings in generalized metric spaces
Ninsri, Aphinat1 ; Sintunavarat, Wutiphol1
1 Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani 12121, Thailand
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 1, p. 83-91.

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

In this paper, we introduce the concept of partial $\alpha-\psi$ contractive mappings along with generalized metric distance. We also establish the existence of fixed point theorems for such mappings in generalized metric spaces. Our results extend and unify main results of Karapinar [E. Karapinar, Abstr. Appl. Anal., 2014 (2014), 7 pages] and several well-known results in literature. We give some examples to illustrate the usability of our results. Moreover, we prove the fixed point results in generalized metric space endowed with an arbitrary binary relation and the fixed point results in generalized metric space endowed with graph.
DOI : 10.22436/jnsa.009.01.08
Classification : 47H10, 54H25
Keywords: Fixed point theory, partial \(\alpha-\psi\) contractive mappings, generalized metric spaces, binary relation.

Ninsri, Aphinat 1 ; Sintunavarat, Wutiphol 1

1 Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani 12121, Thailand 
@article{JNSA_2016_9_1_a7,
     author = {Ninsri, Aphinat and Sintunavarat, Wutiphol},
     title = {Fixed point theorems for partial \(\alpha-\psi\) contractive mappings in generalized metric spaces},
     journal = {Journal of nonlinear sciences and its applications},
     pages = {83-91},
     publisher = {mathdoc},
     volume = {9},
     number = {1},
     year = {2016},
     doi = {10.22436/jnsa.009.01.08},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.01.08/}
}
TY  - JOUR
AU  - Ninsri, Aphinat
AU  - Sintunavarat, Wutiphol
TI  - Fixed point theorems for partial \(\alpha-\psi\) contractive mappings in generalized metric spaces
JO  - Journal of nonlinear sciences and its applications
PY  - 2016
SP  - 83
EP  - 91
VL  - 9
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.01.08/
DO  - 10.22436/jnsa.009.01.08
LA  - en
ID  - JNSA_2016_9_1_a7
ER  - 
%0 Journal Article
%A Ninsri, Aphinat
%A Sintunavarat, Wutiphol
%T Fixed point theorems for partial \(\alpha-\psi\) contractive mappings in generalized metric spaces
%J Journal of nonlinear sciences and its applications
%D 2016
%P 83-91
%V 9
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.01.08/
%R 10.22436/jnsa.009.01.08
%G en
%F JNSA_2016_9_1_a7
Ninsri, Aphinat; Sintunavarat, Wutiphol. Fixed point theorems for partial \(\alpha-\psi\) contractive mappings in generalized metric spaces. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 1, p. 83-91. doi : 10.22436/jnsa.009.01.08. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.01.08/

[1] Branciari, A. A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces, Publ. Math. Debrecen, Volume 57 (2000), pp. 31-37 | Zbl

[2] E. Karapinar Discussion on \(\alpha-\psi\) contractions on generalized metric spaces, Abstr. Appl. Anal., Volume 2014 (2014), pp. 1-7

[3] Kirk, W. A.; N. Shahzad Generalized metrics and Caristis theorem, Fixed Point Theory Appl., Volume 2013 (2013), pp. 1-9 | Zbl | DOI

[4] Rus, I. A. Generalized contractions and applications, Cluj University Press, Cluj-Napoca, 2001

[5] Samet, B.; Vetro, C.; Vetro, P. Fixed point theorems for \(\alpha-\psi\) -contractive type mappings, Nonlinear Anal., Volume 75 (2012), pp. 2154-2165 | DOI

Cité par Sources :