title: Fixed points of contractive mappings in b-metric-like spaces.
abstract: We discuss topological structure of b-metric-like spaces and demonstrate a fundamental lemma for the convergence of sequences. As an application we prove certain fixed point results in the setup of such spaces for different types of contractive mappings. Finally, some periodic point results in b-metric-like spaces are obtained. Two examples are presented in order to verify the effectiveness and applicability of our main results.
authors.affiliation: Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia.
authors.forename: Nawab
authors.initials: N
authors.lastname: Hussain
authors.affiliation: Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran.
authors.forename: Jamal Rezaei
authors.initials: JR
authors.lastname: Roshan
authors.affiliation: Young Researchers and Elite Club, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran.
authors.forename: Vahid
authors.identifier: 0000-0002-3820-3351
authors.initials: V
authors.lastname: Parvaneh
authors.affiliation: Faculty of Mathematics, University of Belgrade, Studentskitrg 16, 11000 Beograd, Serbia.
authors.forename: Zoran
authors.identifier: 0000-0001-9103-713X
authors.initials: Z
authors.lastname: Kadelburg
mesh_terms: D000465:Algorithms; D008962:Models, Theoretical