A generalization of set-valued Prešić–Reich type contractions in ultrametric spaces with applications

In this paper, we study the existence and uniqueness of coincidence and common fixed point of a set-valued and a single-valued mapping satisfying generalized set-valued Prešić–Reich type contractive condition in ultrametric spaces without the property of completeness. As an application, the well-pos...

Full description

Saved in:
Bibliographic Details
Published in:Journal of fixed point theory and applications 2017-09, Vol.19 (3), p.1871-1887
Main Authors: Kumar, D. Ramesh, Pitchaimani, M.
Format: Article
Language:English
Subjects:
Analysis
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Uniqueness
Well posed problems
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we study the existence and uniqueness of coincidence and common fixed point of a set-valued and a single-valued mapping satisfying generalized set-valued Prešić–Reich type contractive condition in ultrametric spaces without the property of completeness. As an application, the well-posedness of a common fixed point problem is proved. An example is given to illustrate our results. Our results generalize and extend the results of Prešić–Reich in the context of ultrametric spaces.
ISSN:1661-7738
1661-7746
DOI:10.1007/s11784-016-0338-4