On the effect of alpha-admissibility and theta-contractivity to the existence of fixed points of multivalued mappings
Articles
Gülhan Mınak
Kirikkale University, Turkey
Ishak Altun
King Saud University, Saudi Arabia; Kirikkale University, Turkey
Published 2016-09-26
https://doi.org/10.15388/NA.2016.5.7
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Keywords

fixed point
multivalued mapping
multivalued θ-contraction
α-admissible mapping

How to Cite

Mınak, G. and Altun, I. (2016) “On the effect of alpha-admissibility and theta-contractivity to the existence of fixed points of multivalued mappings”, Nonlinear Analysis: Modelling and Control, 21(5), pp. 673–686. doi:10.15388/NA.2016.5.7.

Abstract

In this study, we give some fixed point results for multivalued mappings using α-admissibility and θ-contractivity of multivalued mappings on complete metric spaces. Our results are proper generalizations of some fixed point results related to multivalued contraction. We also provide an example showing this fact. Finally, we obtain some ordered fixed point results for multivalued mappings as corollary.

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