Iterative Convergence with Banach Space Valued Functions in Abstract Fractional Calculus

Abstract

The goal of this paper is to present a semi-local convergence analysis for some iterative methods under generalized conditions. The operator is only assumed to be continuous and its domain is open. Applications are suggested including Banach space valued functions of fractional calculus, where all integrals are of Bochner-type.

Keywords

• iterative method
• banach space
• semi-local convergence
• fractional calculus
• bochner-type integral
• 65g99
• 65h10
• 26a33
• 46b25
• 47j25
• 47j05