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2007 WELL-POSEDNESS IN THE GENERALIZED SENSE OF THE FIXED POINT PROBLEMS FOR MULTIVALUED OPERATORS
Adrian Petruşel, Ioan A. Rus
Taiwanese J. Math. 11(3): 903-914 (2007). DOI: 10.11650/twjm/1500404764

Abstract

The purpose of this paper is to define the concept of well-posedness in the generalized sense of a fixed point problem for multivalued operators. Several conditions under which the fixed point problem is well-posed in the generalized sense are given. Some new fixed point theorems are also proved.

Citation

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Adrian Petruşel. Ioan A. Rus. "WELL-POSEDNESS IN THE GENERALIZED SENSE OF THE FIXED POINT PROBLEMS FOR MULTIVALUED OPERATORS." Taiwanese J. Math. 11 (3) 903 - 914, 2007. https://doi.org/10.11650/twjm/1500404764

Information

Published: 2007
First available in Project Euclid: 18 July 2017

zbMATH: 1149.54022
MathSciNet: MR2340170
Digital Object Identifier: 10.11650/twjm/1500404764

Subjects:
Primary: 47H10 , 54H25

Keywords: Compact operator , fixed point , multivalued generalized contraction , multivalued operator , Pompeiu-Hausdorff functional , strict fixed point , the gap functional

Rights: Copyright © 2007 The Mathematical Society of the Republic of China

Vol.11 • No. 3 • 2007
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