On a broad category of multivalued weakly Picard operators


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	On a broad category of multivalued weakly Picard operators


	Fixed Point Theory, Volume 18, No. 1, 2017, 229-236, March 1st, 2017 DOI: 10.24193/fpt-ro.2017.1.19 Authors: Hatice Aslan Hançer, Gülhan Mınak and Ishak Altun Abstract: In the present paper, considering a recent technique which is used by Jleli and Samet [10] for fixed points of single-valued maps, we introduce a new concept of multivalued θ-contractions on metric spaces and prove that some of such mappings are multivalued weakly Picard operators on complete metric space. Finally, we give a nontrivial example to show that the class of multivalued θ-contractions is more general than multivalued contractions in the sense of Nadler [14] on complete metric spaces. Key Words and Phrases: fixed point, multivalued mapping, multivalued contraction, weakly Picard operator. 2010 Mathematics Subject Classification: 54H25, 47H10. Published on-line: March 1st, 2017. Abstract pdf Fulltext pdf Back to volume's table of contents