RESULTS ON THE SEMI-LOCAL CONVERGENCE OF ITERATIVE METHODS WITH APPLICATIONS IN k-MULTIVARIATE FRACTIONAL CALCULUS

George A. Anastassiou, Ioannis K. Argyros

Abstract


We provide new semi-local convergence results for general iterative methods in order to approximate a solution of a nonlinear operator equation. Moreover, applications are suggested in many areas including k-multivariate fractional calculus, where k is a positive integer.


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ISSN: 1229-1595 (Print), 2466-0973 (Online)