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Fixed Point Results For α-Admissible Multivalued F -Contractions
(Univ Miskolc Inst Math, 2016) Durmaz, G.; Altun, I.
In this study, we give some fixed point results for multivalued mappings using Pompeiu-Hausdorff distance on complete metric space. For this, we consider the alpha-admissibility of multivalued mappings. Our results are real generalizations of Mizoguchi-Takahashi fixed point theorem. We also provide an example showing this fact. Finally, we obtain some ordered fixed point results for multivalued mappings.
Generalized multivalued F-contractions on complete metric spaces
(Iranian Mathematical Soc, 2014) Acar, O.; Durmaz, G.; Minak, G.
In the present paper, we introduce the concept of generalized multivalued F-contraction mappings and give a fixed point result, which is a proper generalization of some multivalued fixed point theorems including Nadler's.
Suzuki Type Fixed Point Result for Rational theta-Contraction on Complete Metric Spaces
(Southeast Asian Mathematical Soc-Seams, 2019) Durmaz, G.; Minak, G.; Altun, I.
In this paper, we present a new approach to fixed point theorems for single valued contraction mappings defined on complete metric spaces. We introduce a new concept called Suzuki type rational theta*-contraction and prove fixed point result for such mappings. Also, we give some examples showing that our result is a real generalization of some existing results.