A Fixed Point Theorem for multivalued almost Fδ -contraction

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