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

I. Inchan; K.  Gajai; T. Yuying; S. Youyen; W. Chantakun

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

Authors

I. Inchan Department of Mathematics and Computer, Uttaradit Rajabhat University
K. Gajai Department of Mathematics and Computer, Uttaradit Rajabhat University
T. Yuying Department of Mathematics and Computer, Uttaradit Rajabhat University
S. Youyen Department of Mathematics and Computer, Uttaradit Rajabhat University
W. Chantakun Department of Mathematics and Computer, Uttaradit Rajabhat University

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.