Multi-valued graph contraction principle with applications. (2nd August 2020)

• Record Type: Journal Article
• Authors: Petruşel, Adrian; Petruşel, Gabriela; Yao, Jen-Chih
• Is Part Of: Optimization. Volume 69:Number 7/8(2020)
• Page Start: 1541
• Page End: 1556
• Publication Date: 2020-08-02
• Subjects: M ulti-valued operator -- multi-valued graph contraction -- metric space -- fixed point -- strict fixed point -- graph pseudo-contraction -- metric regularity -- data dependence -- Ulam–Hyers stability -- altering points -- coincidence point; 47H10 -- 49J53 -- 54H25; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2019.1633652
• Languages: English
• ISSNs: 0233-1934

Abstract

ABSTRACT: The aim of this paper is to present a generalization of Nadler's fixed point principle for the case of multi-valued graph contractions. Also, a strict fixed point theorem is obtained. Connections to some variational analysis concepts are discussed and applications to generalized coupled fixed point problems are given.