- Gazi University Journal of Science
- Vol: 30 Issue: 2
- COMMON BEST PROXIMITY POINT THEOREMS ON CONE B-METRIC SPACES OVER BANACH ALGEBRAS
COMMON BEST PROXIMITY POINT THEOREMS ON CONE B-METRIC SPACES OVER BANACH ALGEBRAS
Authors : Seyed Masoud Aghayan, Ahmad Zireh, Ali Ebadian
Pages : 159-172
View : 6 | Download : 3
Publication Date : 2017-06-19
Article Type : Other
Abstract :In this paper, we obtain the existence of some common best proximity point theorems for generalized Lipschitz contractive mappings on cone b-metric space over Banach algebra without assumption of normality. Our results generalize the corresponding result by Xu and Radenovic (Fixed Point Theory and Appl. 2014, 2014:102) and by Huang and Radenovic ( J. Computational Anal. and Appl. 2016, 20(3)). Further, we give an example to illustrate that our works are never equivalent with the counterparts in the literature.Keywords : Common best proximity point theorems, Cone metric spaces over Banach algebras, Generalized Lipschitz mappings, c-sequence.