全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

Application of Fixed Point Theorem and Error Bounds

DOI: 10.4236/oalib.1100567, PP. 1-6

Subject Areas: Numerical Mathematics, Functional Analysis

Keywords: Fixed Point Theorems, Error Bounds, Linear Algebraic Equations, Nonlinear Equation

Full-Text   Cite this paper   Add to My Lib

Abstract

This paper is introduced as a survey of the results on some generalization of Banach’s fixed point, their approximations to the fixed point and error bounds, and also contains some new fixed point theorems and applications.

Cite this paper

Mohsenialhosseini, S. A. M. (2014). Application of Fixed Point Theorem and Error Bounds. Open Access Library Journal, 1, e567. doi: http://dx.doi.org/10.4236/oalib.1100567.

References

[1]  Boyed, D.W. and Wong, J.S.W. (1969) On Non-Linear Contraction. Proceedings of the American Mathematical Society, 20, 458-464.
[2]  Kimpe, N.D. and Siddiqui, A.H. (Reprint) Fixed Point Theorems in Non-Archimedean, Functional Analysis.
[3]  Mohsenalhosseini, S.A.M., Mazaheri, H., Dehghan, M.A. and Bagheshahi, M. (2011) Application of Approximate Best Proximity Pairs. General Mathematical Note (GMN), 7, 59-65.
[4]  Amann, H. (1976) Fixed Point Equations and Nonlinear Eigenvalue Problems in or 4’ed Banach Spaces. SIAM Review, 18, 620-709.
[5]  Collatz, L. (1966) Functional Analysis and Numerical Mathematics. Academic Press, New York.
[6]  Franklin, J. (1980) Methods of Mathematical Economics. Springer Verlag, New York.
[7]  Mohsenalhosseini, S.A.M., Mazaheri, H. and Dehghan, M.A. (2011) Approximate Best Proximity Pairs in Metric Space. Abstract and Applied Analysis, 2011, Article ID: 596971.
[8]  Siddiqi, A.H. (1986) Functional Analysis with Application. Tata McGraw-Hill Publishing Company Limited, New Delhi.

Full-Text


comments powered by Disqus

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133

WeChat 1538708413