Abstract :
In this paper we introduce the notion of E-b-metric space and we present a singlevalued and multivalued nonlinear fixed point theorem in an E-b-metric space using the Picard and weak Picard operators technique. The proofs are based on the concept of strict positivity in a Riesz space introduced by Páles and Petre.
Keywords :
Contraction Principle , fixed point , iterative method , multivalued operator , Riesz space , vector lattice , vector b , metric space , φ , contraction
