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Fixed points for non-self operators and domain invariance theorems
Journal article   Peer reviewed

Fixed points for non-self operators and domain invariance theorems

Tania A. Lazăr, Adrian Petruşel, Naseer Shahzad and Nadia Shahzad
Nonlinear analysis, Vol.70(1), pp.117-125
2009
DOI: https://doi.org/10.1016/j.na.2007.11.037

Abstract

Associated field Data dependence Domain invariance Fixed point Generalized contraction Multivalued operator Open operator
The purpose of this paper is to discuss some basic problems of the fixed point theory for non-self (single-valued and multivalued) generalized contractions. As consequences, new open operator principles and domain invariance theorems are obtained. The results complement and extend some known results in the literature.

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