Please use this identifier to cite or link to this item: https://research.matf.bg.ac.rs/handle/123456789/1041
Title: H<sup>+</sup> -multivalued contractions and their application to homotopy theory
Authors: Nashine, Hemant Kumar
Agarwal, Ravi P.
Kadelburg, Zoran 
Keywords: Contraction;fixed point;homotopy;multivalued mapping;Pompeiu–Hausdorff metric
Issue Date: 1-Dec-2017
Journal: Journal of Fixed Point Theory and Applications
Abstract: 
Kikkawa and Suzuki (Nonlinear Anal 69:2942–2949, 2008) and Kikkawa and Suzuki (Fixed Point Theory Appl, 2008, Art. ID 649749) proved some fixed point results that are generalizations of Kannan’s, Nadler’s and Suzuki’s fixed point theorems. Here, we present fixed point results of this kind for multivalued mappings in the setting of H+-metric spaces. The theorems provided allow upgrading of some known results which is shown by examples. Moreover, we give a homotopy result as an application of our main theorem.
URI: https://research.matf.bg.ac.rs/handle/123456789/1041
ISSN: 16617738
DOI: 10.1007/s11784-017-0425-1
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