Higher Order Iterative Methods for Nonlinear Equations in Banach Spaces http://127.0.0.1/xmlui/handle/123456789/586 2026-04-18T00:12:03Z 2026-04-18T00:12:03Z Higher Order Iterative Methods for Nonlinear Equations in Banach Spaces Parhi, Sanjaya Kumar http://127.0.0.1/xmlui/handle/123456789/587 2015-05-29T12:05:57Z 2010-01-01T00:00:00Z Higher Order Iterative Methods for Nonlinear Equations in Banach Spaces Parhi, Sanjaya Kumar This thesis describes a number of higher order iterative methods and their convergence analysis for finding solutions/fixed points of nonlinear equations in Banach spaces. A number of theorems are established for the convergence under different sufficient conditions along with the derivation of a priori error bounds and the existence and uniqueness domains for their solutions. The main contributions of the thesis can be summarized as follows. 2010-01-01T00:00:00Z