MULTIVALUED FIXED POINT RESULTS AND STABILITY OF FIXED POINT SETS IN METRIC SPACES

Facta Universitatis. Series Mathematics and Informatics

Binayak S Choudhury¹  T. Som²  Nikhilesh Metiya³ 

[1] Indian Institute of Engineering Science and Technology, Shibpur, Howrah - 711103, West Bengal, India;Indian Institute of Technology, (Banaras Hindu University), Varanasi - 221005, India;Sovarani Memorial College, Jagatballavpur, Howrah-711408, West Bengal, India

关键词: Hausdorff metric;    Multivalued mapping;    Rational type almost contraction;    Fixed point;    Stability;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Nishu / University of Nis

【 摘 要 】

In this paper we establish certain multivalued fixed point results for mappings satisfying rational type almost contractions involving a control function in the framework of metric spaces. The main result is supported with an example. We use Hausdorff distance in our theorems. We also study the stability of fixed point sets of above mentioned set valued contractions. By applications of the multivalued results we obtain certain fixed point theorems of singlevalued mappings.

【 授权许可】

Unknown