COMMON FIXED POINT THEOREMS FOR SOME CONTRACTIVE CONDITION WITH $\VARPHI$-MAPPING IN COMPLEX VALUED B-METRIC SPACES

ISSARA  INCHAN; KANJANA  GAJAI; TADCHAI  YUYING; SAARD  YOUYEN; WARINSINEE  CHANTAKUN

COMMON FIXED POINT THEOREMS FOR SOME CONTRACTIVE CONDITION WITH $\VARPHI$-MAPPING IN COMPLEX VALUED B-METRIC SPACES

Authors

ISSARA INCHAN Department of Mathematics, Faculty of Science and Technology, Uttaradit Rajabhat University, Thailand
KANJANA GAJAI Department of Mathematics, Faculty of Science and Technology, Uttaradit Rajabhat University, Thailand
TADCHAI YUYING Department of Mathematics, Faculty of Science and Technology, Uttaradit Rajabhat University, Thailand
SAARD YOUYEN Department of Mathematics, Faculty of Science and Technology, Uttaradit Rajabhat University, Thailand
WARINSINEE CHANTAKUN Department of Mathematics, Faculty of Science and Technology, Uttaradit Rajabhat University, Thailand

Keywords:

Common fixed point, complex-valued metric space, complex valued b-metric space

Abstract

In this paper, by using the concept of $\varphi$-mappings introduced by Mohanta and Maitra [8], we can prove the existence and the uniqueness of common fixed points for some generalized contractive mappings in complex-valued b-metric spaces. Our results extend and improve the results of Tripathi and Dubey [12] and many others.