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March-2019
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Journal of Emerging Technologies and Innovative Research ( An International Scholarly Open Access Journal, Peer-reviewed, Refereed, Crossref DOI Journal )
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JETIR1903D05
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201976
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Title
A Homotopy Method for Computing a Fixed Point of the Mapping in Comparison with Banach Contraction
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Abstract
Fixed point theorems have many applications, in mathematical and other analysis. Present paper is based on, Brouwer fixed point theorem which is generalized for computing fixed points on a class of nonconvex sets and convergent to homotopy method and Banach Contraction Principle . When a mapping is twice continuously differentiable from a convex and compact set D to itself, Kellogg et al.1 gave in 1976 a constructive proof of Brouwer fixed point theorem for the mapping and presented a homotopy method for computing a fixed point of the mapping in D2
Key Words
A Homotopy Method for Computing a Fixed Point of the Mapping in Comparison with Banach Contraction
Cite This Article
"A Homotopy Method for Computing a Fixed Point of the Mapping in Comparison with Banach Contraction", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 3, page no.15-18, March-2019, Available :http://www.jetir.org/papers/JETIR1903D05.pdf
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2349-5162 | Impact Factor 7.95 Calculate by Google Scholar
An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 7.95 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator
Cite This Article
"A Homotopy Method for Computing a Fixed Point of the Mapping in Comparison with Banach Contraction", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 3, page no. pp15-18, March-2019, Available at : http://www.jetir.org/papers/JETIR1903D05.pdf
Publication Details
Published Paper ID: JETIR1903D05
Registration ID: 201976
Published In: Volume 6 | Issue 3 | Year March-2019
Page No: 15-18
Country: -, -, - .
Area: Engineering
ISSN Number: 2349-5162
Publisher: IJ Publication
Published Paper URL :: https://www.jetir.org/view?paper=JETIR1903D05
Published Paper PDF: https://www.jetir.org/papers/JETIR1903D05
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