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Article Citation - WoS: 29Citation - Scopus: 34A New Approach To (α, Ψ)-Contractive Nonself Multivalued Mappings(Springeropen, 2014) Ali, Muhammad Usman; Kamran, Tayyab; Karapinar, ErdalIn this paper, we introduce the notions of alpha-admissible and alpha-psi-contractive type condition for nonself multivalued mappings. We establish fixed point theorems using these new notions along with a new condition. Moreover, we have constructed examples to show that our new condition is different from the corresponding existing conditions in the literature.Article Citation - WoS: 45Citation - Scopus: 47(α, ψ, ξ)-contractive multivalued mappings(Springer international Publishing Ag, 2014) Ali, Muhammad Usman; Kamran, Tayyab; Karapinar, ErdalIn this paper, we introduce the notion of (alpha, psi, xi)-contractive multivalued mappings to generalize and extend the notion of alpha-psi-contractive mappings to closed valued multifunctions. We investigate the existence of fixed points for such mappings. We also construct an example to show that our result is more general than the results of alpha-psi-contractive closed valued multifunctions.Article Citation - WoS: 13Citation - Scopus: 17Fixed Point of Α-Ψ Type Mappings in Uniform Spaces(Springer international Publishing Ag, 2014) Ali, Muhammad Usman; Kamran, Tayyab; Karapinar, ErdalIn this paper, we shall investigate the existence and uniqueness of a fixed point of alpha-psi-contractive mappings in the context of uniform spaces. We shall also prove some common fixed point theorems by introducing the notion of alpha-admissible pairs. We shall construct some examples to support our novel results.Article Citation - WoS: 6Citation - Scopus: 6Existence of Best Proximity Points for Controlled Proximal Contraction(Springer international Publishing Ag, 2015) Kiran, Quanita; Ali, Muhammad Usman; Kamran, Tayyab; Karapinar, ErdalIn 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.
