Fixed point and common fixed point results in cone metric space and application to invariant approximation

Fixexd point theory and applications

Savita Rathee¹  Anil Kumar² 

[1] Department of Mathematics, Govt. College Bahu, Jhajjar, India;Department of Mathematics, Maharshi Dayanand University, Rohtak, India

关键词: fixed point;    common fixed point;    cone metric space;    multi-valued mappings;    best approximation;    46T99;    47H10;    54H25;   

DOI  :  10.1186/s13663-015-0290-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this work, the concept of almost contraction for multi-valued mappings in the setting of cone metric spaces is defined and then we establish some fixed point and common fixed point results in the set-up of cone metric spaces. As an application, some invariant approximation results are obtained. The results of this paper extend and improve the corresponding results of multi-valued mapping from metric space theory to cone metric spaces. Further our results improve the recent result of Arshad and Ahmad (Sci. World J. 2013:481601, 2013).

【 授权许可】

CC BY