Some New Fixed Point Theorems in b -Metric Spaces with Application

Badriah A. S. Alamri, Ravi P. Agarwal and Jamshaid Ahmad
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Badriah A. S. Alamri: Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Ravi P. Agarwal: Department of Mathematics, Texas A&M University—Kingsville, 700 University Blvd, Kingsville, TX 78363-8202, USA
Jamshaid Ahmad: Department of Mathematics, University of Jeddah, P.O.Box 80327, Jeddah 21589, Saudi Arabia

Mathematics, 2020, vol. 8, issue 5, 1-11

Abstract: The aim of this article is to introduce a new class of contraction-like mappings, called the almost multivalued ( Θ , δ b )-contraction mappings in the setting of b -metric spaces to obtain some generalized fixed point theorems. As an application of our main result, we present the sufficient conditions for the existence of solutions of Fredholm integral inclusions. An example is also provided to verify the effectiveness and applicability of our main results.

Keywords: Fredholm integral inclusions; (?, ? b )-contractions; b-metric space; fixed point; multivalued mappings (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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