A Fixed Point Theorem for multivalued almost $${\varvec{F}}_{\varvec{\delta }}$$ F δ -contraction

Abstract

The present paper is concerning with fixed point theorem for multivalued mappings with $$\delta $$ -distance using Wardowski’s technique on complete metric space. Considering the $$\delta $$ -distance, we prove the existence of fixed point of the mapping $$T:X\rightarrow B(X)$$ which is a multivalued almost $$F_{\delta }$$ -contraction, if (X, d) is a complete metric space. The effectiveness of the obtained result is also presented with an illustrative example.