Generalizations of some contractions in b-metric-like spaces and applications to boundary value problems

• Published in: Advances in difference equations 2021-05, Vol.2021 (1), p.1-18, Article 262
• Main Authors: Zoto, Kastriot, Aydi, Hassen, Alsamir, Habes
• Format: Article
• Language: English
• Subjects: Analysis; b-metric-like; Boundary value problems; Difference and Functional Equations; Fixed point; Fixed Point Theory and Applications to Fractional Ordinary and Partial Difference and Differential Equations; Functional Analysis; Mathematics; Mathematics and Statistics; Ordinary Differential Equations; Partial Differential Equations; α s p $\alpha _{s^{p}} $ -admissible pair; α s p − ( C , N , Θ ) $\alpha _{s^{p}} - ( C,N,\Theta )$ contraction; α s p − ( I , Θ , Γ ) $\alpha _{s^{p}} - (I,\Theta ,\Gamma )$ contraction
• ISSN: 1687-1847; 1687-1839; 1687-1847
• DOI: 10.1186/s13662-021-03412-x

This paper provides two wide classes of contractions, which are obtained by using notions of α s p -admissibility and the rich set of C -class functions in the setting of a complete b -metric-like space under more general contractive conditions. An application is provided and many known results in the literature can be derived.