Open Access
august 2015 Recent developments about multivalued weakly Picard operators
Gülhan Minak, Ishak Altun, Salvador Romaguera
Bull. Belg. Math. Soc. Simon Stevin 22(3): 411-422 (august 2015). DOI: 10.36045/bbms/1442364588


In the present paper, considering a recent technique, which is used by Wardowski [24] for fixed points of single-valued mappings, we give a new and general class of multivalued weakly Picard operators on complete metric spaces and show that the class of multivalued almost contractions (both linear and nonlinear cases in the sense of Berinde and Berinde [9]) is a proper subset of this new class. We also give a nontrivial example showing this fact.


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Gülhan Minak. Ishak Altun. Salvador Romaguera. "Recent developments about multivalued weakly Picard operators." Bull. Belg. Math. Soc. Simon Stevin 22 (3) 411 - 422, august 2015.


Published: august 2015
First available in Project Euclid: 16 September 2015

zbMATH: 1326.54046
MathSciNet: MR3396992
Digital Object Identifier: 10.36045/bbms/1442364588

Primary: 54H25
Secondary: 47H10

Keywords: fixed point , multivalued almost $F$-contraction , Multivalued weakly Picard operator

Rights: Copyright © 2015 The Belgian Mathematical Society

Vol.22 • No. 3 • august 2015
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