B-Implicit Contractive Conditions and Unique (Common) Fixed Points on Complex Valued Metric Spaces

doi:10.13371/j.cnki.chin.q.j.m.2018.02.013

Chinese Quarterly Journal of Mathematics ›› 2018, Vol. 33 ›› Issue (2): 212-220.doi: 10.13371/j.cnki.chin.q.j.m.2018.02.013

Department of Mathematics, College of Science, Yanbian University

Accepted:2017-03-16 Online:2018-06-30 Published:2020-10-09
About author:PIAO Yong-jie(1962-), male, Professor, Ph.D, engage in nonlinear analysis and fixed point theory.
Supported by:
Supported by NNSF of China(No.11361064)；

Abstract

Abstract: A class B of complex functions is introduced and several existence theorems of unique(common) fixed points for mappings satisfying a B-implicit contraction are presented.Moreover, the existence results of common fixed points for two mappings on a nonempty set with two complex valued metrics are provided. Our outcomes generalize and improve some known results, especially, for instance, Banach contraction principle, Chatterjea-type fixed point theorem and the corresponding fixed point theorems.

Key words: Complex valued metric space, (Common) Fixed point, B-implicit contraction

CLC Number:

O177.91

PIAO Yong-jie. B-Implicit Contractive Conditions and Unique (Common) Fixed Points on Complex Valued Metric Spaces[J]. Chinese Quarterly Journal of Mathematics, 2018, 33(2): 212-220.

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B-Implicit Contractive Conditions and Unique (Common) Fixed Points on Complex Valued Metric Spaces

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