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- Title
FIXED POINT AND EXTENDED COUPLED FIXED POINT THEOREMS FOR MULTI-VALUED CONTRACTIONS WITH RESPECT TO THE POMPEIU FUNCTIONAL.
- Authors
COROIAN, IULIA
- Abstract
In this paper, we will prove some fixed point results using a Pompeiu type metric on Pcl(X), for multi-valued operators satisfying two conditions: contractivity and monotonicity. The approach is based on a fixed point theorem for a multi-valued operator in the setting of a b-metric space. Several qualitative properties(well-posedness, Ulam-Hyers stability) are also obtained. In the second part of this paper, we will consider the extended coupled fixed point problem for a multi-valued operator. We will consider the problem of the existence of the solutions. Data dependence and well-posedness of the extended coupled fixed point problem are also discussed.
- Subjects
FIXED point theory; CONTRACTIONS (Topology); FUNCTIONALS; MONOTONIC functions; METRIC spaces
- Publication
Miskolc Mathematical Notes, 2020, Vol 21, Issue 1, p143
- ISSN
1787-2405
- Publication type
Article
- DOI
10.18514/MMN.2020.3118