Fixed point results for Geraghty quasi-contraction type mappings in dislocated quasi-metric spaces

被引：0
作者：
Umudu J.C. [1 ]
Olaleru J.O. [2 ]
Mogbademu A.A. [2 ]
机构：
[1] Department of Mathematics, University of Jos, Plateau State
[2] Department of Mathematics, University of Lagos, Akoka, Lagos State
来源：
Fixed Point Theory and Applications | / 2020卷 / 1期
关键词：
Dislocated quasi-metric space; Fixed point; Geraghty quasi-contraction type mapping;
D O I：
10.1186/s13663-020-00683-z
中图分类号：
学科分类号：
摘要：
In this paper, fixed point results for a newly introduced Geraghty quasi-contraction type mappings are proved in more general metric spaces called T-orbitally complete dislocated quasi-metric spaces. Geraghty quasi-contraction type mappings generalize, among others, Ciric’s quasi-contraction mappings and other Geraghty quasi-contractive type mappings in the literature. Fixed point results are obtained without imposing a continuity condition on the mapping, thereby further generalizing some other related work in the literature. An example is given to show the validity of results obtained. © 2020, The Author(s).
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