We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Existence and stability results for fixed points of multivalued F contractions and application to Volterra type non homogeneous integral equation of second kind.
- Authors
CHOUDHURY, BINAYAK S.; METIYA, NIKHILESH; SOM, T.; KUNDU, SUNIRMAL
- Abstract
In this paper we introduce multivalued modified F-contraction on a metric space. This is a multivalued mapping obtained by incorporating the idea of the recently introduced F-contraction which has attracted much attention in contemporary research. We explore the fixed point problem associated with the above contractive mapping. We also investigate the data dependence and stability properties of the fixed point sets associated with these multival- ued contractions. We discuss an illustration of the main result and present an application of the single valued version of the main theorem to a problem of an integral equation of Volterra type. The domain of the study is fixed point theory and set valued analysis.
- Subjects
INTEGRAL equations; POINT set theory; FIXED point theory; METRIC spaces; VOLTERRA equations; SET-valued maps; CONTRACTIONS (Topology)
- Publication
Annals of the University of Craiova. Mathematics & Computer Science Series, 2023, Vol 50, Issue 1, p1
- ISSN
1223-6934
- Publication type
Article
- DOI
10.52846/ami.v50i1.1597