Some generalizations for ( α − ψ , ϕ ) $(\alpha - \psi,\phi )$ -contractions in b-metric-like spaces and an application

• Main Authors: Kastriot Zoto, B. E. Rhoades, Stojan Radenović
• Format: Article
• Language: English
• Published: SpringerOpen 2017-12-01
• Series: Fixed Point Theory and Applications
• Subjects: α q s p $\alpha_{qs^{p}}$ -admissible mappings; ( α q s p − ψ , ϕ ) $(\alpha_{qs^{p}} - \psi,\phi )$ contractive mapping; b-metric-like space; fixed point
• Online Access: http://link.springer.com/article/10.1186/s13663-017-0620-1

Abstract In this paper, we introduce a new class of α q s p $\alpha_{qs^{p}}$ -admissible mappings and provide some fixed point theorems involving this class of mappings satisfying some new conditions of contractivity in the setting of b-metric-like spaces. Our results extend, unify, and generalize classical and recent fixed point results for contractive mappings.