Iterative Approximation of Fixed Points in Hilbert Spaces: Iterative Schemes, Applications in Functional Analysis - Couverture souple

Olaniyi, Iyiola

 
9783844306095: Iterative Approximation of Fixed Points in Hilbert Spaces: Iterative Schemes, Applications in Functional Analysis

Synopsis

Functional Analysis, Fixed Points Theory and Iterative Schemes are key areas of research in Mathematics today. This work introduces the readers to introductory part of functional analysis, fixed points theory and some iterative schemes and applications in solving differential equations. It is interesting to see how the iterative schemes work in obtaining solutions to initial value problems. Several maps of interest are explained and their relationship given concrete examples to illustrate the idea. Much attention is given to a special class of problems in non-linear functional analysis namely: iterative approximation of k-strictly pseudo-contractive maps in Hilbert spaces using Modified Picard Iteration.

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Présentation de l'éditeur

Functional Analysis, Fixed Points Theory and Iterative Schemes are key areas of research in Mathematics today. This work introduces the readers to introductory part of functional analysis, fixed points theory and some iterative schemes and applications in solving differential equations. It is interesting to see how the iterative schemes work in obtaining solutions to initial value problems. Several maps of interest are explained and their relationship given concrete examples to illustrate the idea. Much attention is given to a special class of problems in non-linear functional analysis namely: iterative approximation of k-strictly pseudo-contractive maps in Hilbert spaces using Modified Picard Iteration.

Biographie de l'auteur

Mr Iyiola S.O., the author of Sobolev Spaces and Elliptic PDEs, is a lecturer at Nigerian Turkish Nile University. He got his B.Sc. Degree from University of Nigeria and M.Sc. Degree from African University of Science and Tech., AUST-Nigeria and a PhD student of Obafemi Awolowo University, Nigeria all in Mathematics. He is a research fellow of AUST

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