Abstract

In this paper, we study the following operator equation: p ∈ A x + C x in a Banach space X , where A : D ( A ) ⊆ X → 2 X is an accretive mapping, C : D ( C ) ⊆ X → X is a nonlinear mapping and p ∈ X . Various existence results of solutions of nonlinear operator equations in Banach spaces are obtained under a countably condensing type condition.

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