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Multivalued Rψ, φ-weakly contractive mappings in ordered cone metric spaces with applications | |
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Fixed Point Theory, Volume 18, No. 2, 2017, 673-688, June 1st, 2017 DOI: 10.24193/fpt-ro.2017.2.54 Authors: N. Mehmood, A. Azam and Lj.D.R. Kočinac Abstract: In this article we define multivalued R-weakly contractive multi-valued mappings in ordered cone metric spaces without assumption of normality on cone, and generalize many results existing in the literature. We provide applications to solutions of integral inclusions and give nontrivial examples to support our main theorem. Key Words and Phrases: Ordered cone metric space, multi-valued mapping, R-weakly contractive mapping, differential inclusion. 2010 Mathematics Subject Classification: 47H10, 54H25. Published on-line: June 1st, 2017.
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