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Citation - WoS: 16
Citation - Scopus: 31
An Approach To Existence of Fixed Points of Generalized Contractive Multivalued Mappings of Integral Type Via Admissible Mapping
(Hindawi Ltd, 2014) Ali, Muhammad Usman; Kamran, Tayyab; Karapinar, Erdal
We investigate the existence of a fixed point of certain contractive multivalued mappings of integral type by using the admissible mapping. Our results generalize the several results on the topic in the literature involving Branciari, and Feng and Liu. We also construct some examples to illustrate our results.
Citation - WoS: 6
Citation - Scopus: 6
Existence of Best Proximity Points for Controlled Proximal Contraction
(Springer international Publishing Ag, 2015) Kiran, Quanita; Ali, Muhammad Usman; Kamran, Tayyab; Karapinar, Erdal
In this paper, we investigate the sufficient condition for the existence of best proximity points for non-self-multivalued mappings. Additionally, we discuss the stability theorem for such mappings. Our results improve and generalize some existing results on the topic in the literature, in particular, the results of Lim and of Abkar and Gabeleh.