Multivalued weak cyclic δ -contraction mappings

Journal of inequalities and applications

article

Pulak Konar¹  Samir Kumar Bhandari¹  Sumit Chandok²  Aiman Mukheimer³ 

[1] Department of Mathematics, Amity University;School of Mathematics, Thapar Institute of Engineering & Technology;Department of Mathematics and General Sciences, Prince Sultan University

关键词: Cyclic contraction;    δ -distance;    Fixed point;    Geraghty contraction;    Metric space;   

DOI  :  10.1186/s13660-020-02519-1

学科分类：电力

来源: SpringerOpen

【 摘 要 】

In this paper, we propose some new type of weak cyclic multivalued contraction mappings by generalizing the cyclic contraction using the δ-distance function. Several novel fixed point results are deduced for such class of weak cyclic multivalued mappings in the framework of metric spaces. Also, we construct some examples to validate the usability of the results. Various existing results of the literature are generalized.

【 授权许可】

CC BY