Generalized multivalued Khan-type (ψ,ϕ) $(\psi ,\phi )$-contractions in complete metric spaces

Abstract

Abstract In this article, we study a new generalized multivalued Khan-type (ψ,ϕ) $(\psi ,\phi )$-contraction. We obtain some fixed point theorems related to the introduced contraction for multivalued mappings in complete metric spaces. Our theorems extend and improve some previous known results with less conditions. Also, we give some illustrative examples.

Keywords

• Generalized multivalued Khan-type ( ψ , ϕ ) $(\psi,\phi)$ -contraction
• Fixed point
• Multivalued mapping
• Comparison function