Dislocated quasi-b-metric spaces and fixed point theorems for cyclic contractions

Fixexd point theory and applications

Chakkrid Klin-eam¹  Cholatis Suanoom² 

[1] Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, Thailand;Research Center for Academic Excellence in Mathematics, Naresuan University, Phitsanulok, Thailand

关键词: fixed points;    dqb-cyclic-Banach contraction;    dqb-cyclic-Kannan mapping;    b-metric spaces;    quasi-b-metric spaces;    b-metric-like spaces;    dislocated quasi-b-metric spaces;    47H05;    47H10;    47J25;   

DOI  :  10.1186/s13663-015-0325-2

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we establish dislocated quasi-b-metric spaces and introduce the notions of Geraghty type dqb-cyclic-Banach contraction and dqb-cyclic-Kannan mapping and derive the existence of fixed point theorems for such spaces. Our main theorem extends and unifies existing results in the recent literature.

【 授权许可】

CC BY