复值度量空间上的B-隐式压缩条件和唯一(公共)不动点

朴勇杰

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

数学季刊 >

2018 , Vol. 33 >Issue 2: 212 - 220

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2018.02.013

复值度量空间上的B-隐式压缩条件和唯一(公共)不动点

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Department of Mathematics, College of Science, Yanbian University

PIAO Yong-jie(1962-), male, Professor, Ph.D, engage in nonlinear analysis and fixed point theory.

录用日期: 2017-03-16

网络出版日期: 2020-10-09

基金资助

Supported by NNSF of China(No.11361064)；

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

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Department of Mathematics, College of Science, Yanbian University

PIAO Yong-jie(1962-), male, Professor, Ph.D, engage in nonlinear analysis and fixed point theory.

Accepted date: 2017-03-16

Online published: 2020-10-09

Supported by

Supported by NNSF of China(No.11361064)；

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摘要

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.

关键词： Complex valued metric space; (Common) Fixed point; B-implicit contraction

本文引用格式

朴勇杰 . 复值度量空间上的B-隐式压缩条件和唯一(公共)不动点[J]. 数学季刊, 2018 , 33(2) : 212 -220 . DOI: 10.13371/j.cnki.chin.q.j.m.2018.02.013

Abstract

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

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