Fixed point theorems for multivalued nonself Kannan-Berinde contraction mappings in complete metric spaces


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	Fixed point theorems for multivalued nonself Kannan-Berinde contraction mappings in complete metric spaces


	Fixed Point Theory, Volume 20, No. 2, 2019, 623-634, June 1st, 2019 DOI: 10.24193/fpt-ro.2019.2.41 Authors: Jenwit Puangpee and Suthep Suantai Abstract: In this paper, a new type of multivalued nonself Kannan-Berinde contraction mappings in metric spaces is introduced and studied. We establish the existence of fixed points of this type of mappings on a complete convex metric space. Our main results extend and generalize many well-known fixed point theorems of many other authors in the literature. We also give an example to illustrate our main results. Key Words and Phrases: Fixed point, nonself multivalued mappings, Kannan-Berinde contraction, Rothe's boundary condition. 2010 Mathematics Subject Classification: 47H10, 54H25. Published on-line: June 1st, 2019. Abstract pdf Fulltext pdf Back to volume's table of contents