In this study, we introduce a new iterative method for solving nonlinear operator equations in Banach spaces. We establish a sufficient as well as a local convergence theorem. We also provide the best possible practic...In this study, we introduce a new iterative method for solving nonlinear operator equations in Banach spaces. We establish a sufficient as well as a local convergence theorem. We also provide the best possible practical error bound for this method.展开更多
We provide convergence results and error estimates for Newton-like methods in generalized Banach spaces.The idea of a generalized norm is used whichis defined to be a map from a linear space into a partially ordered B...We provide convergence results and error estimates for Newton-like methods in generalized Banach spaces.The idea of a generalized norm is used whichis defined to be a map from a linear space into a partially ordered Banach space.Convergence results and error estimates are improved compared with the real norm theory.展开更多
In this study we provide new convergence theorems for the method of tangent hyperbolas under standard Newton kantorovich-type assumptions. We also show how to improve on the results obtained by Safiev, Ya-mamoto and K...In this study we provide new convergence theorems for the method of tangent hyperbolas under standard Newton kantorovich-type assumptions. We also show how to improve on the results obtained by Safiev, Ya-mamoto and Kanno.展开更多
文摘In this study, we introduce a new iterative method for solving nonlinear operator equations in Banach spaces. We establish a sufficient as well as a local convergence theorem. We also provide the best possible practical error bound for this method.
文摘We provide convergence results and error estimates for Newton-like methods in generalized Banach spaces.The idea of a generalized norm is used whichis defined to be a map from a linear space into a partially ordered Banach space.Convergence results and error estimates are improved compared with the real norm theory.
文摘In this study we provide new convergence theorems for the method of tangent hyperbolas under standard Newton kantorovich-type assumptions. We also show how to improve on the results obtained by Safiev, Ya-mamoto and Kanno.
