Aphinat Ninsri - Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani 12121, Thailand. Wutiphol Sintunavarat - Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani 12121, Thailand.
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.
Aphinat Ninsri, Wutiphol Sintunavarat, Fixed point theorems for partial \(\alpha-\psi\) contractive mappings in generalized metric spaces, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 1, 83--91
Ninsri Aphinat, Sintunavarat Wutiphol, Fixed point theorems for partial \(\alpha-\psi\) contractive mappings in generalized metric spaces. J. Nonlinear Sci. Appl. (2016); 9(1):83--91
Ninsri, Aphinat, Sintunavarat, Wutiphol. "Fixed point theorems for partial \(\alpha-\psi\) contractive mappings in generalized metric spaces." Journal of Nonlinear Sciences and Applications, 9, no. 1 (2016): 83--91
