Exploring some fundamental Properties of Operators in Neutrosophic Banach Spaces

Abstract

In this paper, we present and examine the concepts of linearity, bounded, injectivity, surjectivity
and invertibility of operators in neuromorphic Banach space. Furthermore, we establish important relationships
among injectivity, surjectivity with invertibility. Moreover, the definition of the Fredholm operator is
provided along with an analysis of its relationship with invertibility. Additionally, we extend the study of
these properties to the perturbation operator. Moreover, we discuss Lipschitz and contraction mappings, as
well as uniqueness results related to fixed points.