On some new generalizations of Nadler contraction in b-metric spaces. Issue 1 (1st January 2020)

• Record Type: Journal Article
• Authors: Zoran D., Mitrović; Parvaneh, Vahid; Mlaiki, Nabil; Hussain, Nawab; Radenović, Stojan
• Editors: Liu, Lishan
• Is Part Of: Cogent mathematics & statistics. Volume 7:Issue 1(2020)
• Publication Date: 2020-01-01
• Subjects: Fixed points -- b-metric spaces -- multi-valued mapping -- generalized Pompeiu-Hausdorff b -metric -- Nadler contraction; 47H10; Mathematics -- Periodicals; Statistics -- Periodicals; Mathematics; Statistics; Periodicals; 510
• DOI: 10.1080/25742558.2020.1760189
• Languages: English
• ISSNs: 2574-2558

Abstract

Abstract: We introduce some generalizations of contractions for multi-valued mappings and establish some fixed point theorems for multi-valued mappings in b -metric spaces. Our results generalize and extend several known results in b -metric spaces. Some examples are included which illustrate the cases when new results can be applied while old ones cannot.