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Common Fixed Point and Invariant Approximation Results on Non-Starshaped Domains

Common Fixed Point and Invariant Approximation Results on Non-Starshaped Domains We extend the concept of 𝑅-subweakly commuting maps due to Shahzad J. Math. Anal. Appl. 257: 39–45, 2001 to the case of non-starshaped domains and obtain common fixed point results for this class of maps on non-starshaped domains in the setup of Fréchet spaces. As applications, we establish Brosowski–Meinardus type approximation theorems. Our results unify and extend the results of Al-Thagafi, Dotson, Habiniak, Jungck and Sessa, Sahab, Khan and Sessa and Shahzad. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

Common Fixed Point and Invariant Approximation Results on Non-Starshaped Domains

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References (27)

Publisher
de Gruyter
Copyright
© Heldermann Verlag
ISSN
1072-947X
eISSN
1072-9176
DOI
10.1515/GMJ.2005.659
Publisher site
See Article on Publisher Site

Abstract

We extend the concept of 𝑅-subweakly commuting maps due to Shahzad J. Math. Anal. Appl. 257: 39–45, 2001 to the case of non-starshaped domains and obtain common fixed point results for this class of maps on non-starshaped domains in the setup of Fréchet spaces. As applications, we establish Brosowski–Meinardus type approximation theorems. Our results unify and extend the results of Al-Thagafi, Dotson, Habiniak, Jungck and Sessa, Sahab, Khan and Sessa and Shahzad.

Journal

Georgian Mathematical Journalde Gruyter

Published: Dec 1, 2005

Keywords: Fixed point theory; non-starshaped domains; approximation results; common; invariant

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