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Title

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

Authors

Singh, Vipin Kumar

Abstract

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.

Subjects

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

Publication

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

ISSN

2299-9965

Publication type

Academic Journal

DOI

10.17512/jamcm.2018.4.09

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