title: Fixed point results for G-α-contractive maps with application to boundary value problems.
abstract: We unify the concepts of G-metric, metric-like, and b-metric to define new notion of generalized b-metric-like space and discuss its topological and structural properties. In addition, certain fixed point theorems for two classes of G-α -admissible contractive mappings in such spaces are obtained and some new fixed point results are derived in corresponding partially ordered space. Moreover, some examples and an application to the existence of a solution for the first-order periodic boundary value problem are provided here to illustrate the usability of the obtained results.
authors.affiliation: Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia.
authors.forename: Nawab
authors.identifier: 0000-0001-6585-2202
authors.initials: N
authors.lastname: Hussain
authors.affiliation: Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran.
authors.forename: Vahid
authors.identifier: 0000-0002-3820-3351
authors.initials: V
authors.lastname: Parvaneh
authors.affiliation: Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran.
authors.forename: Jamal Rezaei
authors.initials: JR
authors.lastname: Roshan
mesh_terms: D000465:Algorithms; D008962:Models, Theoretical