Semilocal Convergence Analysis of S-iteration Process of Newton–Kantorovich Like in Banach Spaces

Daya Ram Sahu (), Jen Chih Yao (), Vipin Kumar Singh () and Satyendra Kumar ()
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Daya Ram Sahu: Banaras Hindu University
Jen Chih Yao: China Medical University
Vipin Kumar Singh: Banaras Hindu University
Satyendra Kumar: Banaras Hindu University

Journal of Optimization Theory and Applications, 2017, vol. 172, issue 1, No 6, 102-127

Abstract: Abstract In the present article, we establish a semilocal convergence theorem for the S-iteration process of Newton–Kantorovich like in Banach space setting for solving nonlinear operator equations and discuss its semilocal convergence analysis. We apply our result to solve the Fredholm-integral equations.

Keywords: Nonlinear operator equation; Fréchet derivative; Newton’s method; S-iteration process; 65J15; 47J25; 65H10 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-016-1031-x

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