INEXACT NEWTON'S METHOD FOR GENERALIZED OPERATOR EQUATIONS IN BANACH SPACES.

Singh, Vipin Kumar

In the present paper, we introduce a new inexact Newton-like algorithm for solving the generalized operator equations containing non differentiable operators in Banach space setting and discuss its semilocal convergence analysis under the weak Lipschitz condition with larger convergence domain and tighter error bounds. The main result of this paper is the significant improvement over the Newton's method as well as the inexact Newton method.

OPERATOR equations; NEWTON-Raphson method; BANACH spaces; NONLINEAR operators

Journal of Applied Mathematics & Computational Mechanics, 2018, Vol 17, Issue 4, p85

2299-9965

Academic Journal

10.17512/jamcm.2018.4.09