Open Access
2015 SOME GENERALIZATIONS OF PETRYSHYN'S THEOREM AND ALTMAN'S THEOREM
Chuanxi Zhu, Wanting Zhang, Zhaoqi Wu
Taiwanese J. Math. 19(2): 653-658 (2015). DOI: 10.11650/tjm.19.2015.4633

Abstract

In this paper, some new fixed point theorems for semi-closed 1-set-contractive operators of functional type are obtained, which generalize the famous Petryshyn's theorem and Altman's theorem by replacing the norm with some classes of functionals.

Citation

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Chuanxi Zhu. Wanting Zhang. Zhaoqi Wu. "SOME GENERALIZATIONS OF PETRYSHYN'S THEOREM AND ALTMAN'S THEOREM." Taiwanese J. Math. 19 (2) 653 - 658, 2015. https://doi.org/10.11650/tjm.19.2015.4633

Information

Published: 2015
First available in Project Euclid: 4 July 2017

zbMATH: 1357.47058
MathSciNet: MR3332320
Digital Object Identifier: 10.11650/tjm.19.2015.4633

Subjects:
Primary: 47H10
Secondary: ‎46S10

Keywords: functional type , ‎partially ordered set , semi-closed 1-set-contractive operator

Rights: Copyright © 2015 The Mathematical Society of the Republic of China

Vol.19 • No. 2 • 2015
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