Geodesic
Analysis of semilocal convergence under W-continuity condition on second order Frechet derivative in Banach space
Jai Prakash Jaiswal1 ; Bhawna Panay2 ; Neha Choubey3 ; Jai Prakash Jaiswal ; Bhawna Panay ; Neha Choubey
1Department of Mathematics, Maulana Azad National Institute of Technology, Bhopal, M.P. India
2Department of Mathematics, Demonstration Multipurpose School Regional Institute of Education, Bhopal, India
3School of Advanced Sciences and Language, VIT Bhopal University, Bhopal, India
Acta mathematica Universitatis Comenianae, Tome 88 (2019) no. 2, pp. 173-185 
Jai Prakash Jaiswal; Bhawna Panay; Neha Choubey; Jai Prakash Jaiswal; Bhawna Panay; Neha Choubey. Analysis of semilocal convergence under W-continuity condition on second order Frechet derivative in Banach space. Acta mathematica Universitatis Comenianae, Tome 88 (2019) no. 2, pp. 173-185. http://geodesic.mathdoc.fr/item/AMUC_2019_88_2_a0/
@article{AMUC_2019_88_2_a0,
     author = {Jai Prakash Jaiswal and Bhawna Panay and Neha Choubey and Jai Prakash Jaiswal and Bhawna Panay and Neha Choubey},
     title = { Analysis of semilocal convergence under {W-continuity} condition on second order {Frechet} derivative in {Banach} space},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {173--185},
     year = {2019},
     volume = {88},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2019_88_2_a0/}
}
TY  - JOUR
AU  - Jai Prakash Jaiswal
AU  - Bhawna Panay
AU  - Neha Choubey
AU  - Jai Prakash Jaiswal
AU  - Bhawna Panay
AU  - Neha Choubey
TI  - Analysis of semilocal convergence under W-continuity condition on second order Frechet derivative in Banach space
JO  - Acta mathematica Universitatis Comenianae
PY  - 2019
SP  - 173
EP  - 185
VL  - 88
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/AMUC_2019_88_2_a0/
ID  - AMUC_2019_88_2_a0
ER  - 
%0 Journal Article
%A Jai Prakash Jaiswal
%A Bhawna Panay
%A Neha Choubey
%A Jai Prakash Jaiswal
%A Bhawna Panay
%A Neha Choubey
%T Analysis of semilocal convergence under W-continuity condition on second order Frechet derivative in Banach space
%J Acta mathematica Universitatis Comenianae
%D 2019
%P 173-185
%V 88
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_2019_88_2_a0/
%F AMUC_2019_88_2_a0

Voir la notice de l'article provenant de la source Comenius University

This article proposed the study of semilocal convergence of multi-step Newton's type approach in Banach spaces using recurrence relation technique. It is realized that the w- continuity condition is a generalization of the Lipschitz condition. The existence and uniqueness theorem has been formed, which validate the substantiate of our approach. Finally, a numerical example has been presented to vindicate the theoretical results.