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Citation - WoS: 10
Citation - Scopus: 13
Some Fixed Point Theorems in Locally p-convex Spaces
(Springer international Publishing Ag, 2013) Gholizadeh, Leila; Karapinar, Erdal; Roohi, Mehdi
In this paper we investigate the existence of a fixed point of multivalued maps on almost p-convex and p-convex subsets of topological vector spaces. Our results extend and generalize some fixed point theorems on the topic in the literature, such as the results of Himmelberg, Fan and Glicksberg.
Citation - WoS: 34
Citation - Scopus: 46
Fixed Point Results on -Symmetric Quasi-Metric Space Via Simulation Function With an Application To Ulam Stability
(Mdpi, 2018) Alqahtani, Badr; Fulga, Andreea; Karapinar, Erdal
In this paper, in the setting of D - symmetric quasi- metric spaces, the existence and uniqueness of a fixed point of certain operators are scrutinized carefully by using simulation functions. The most interesting side of such operators is that they do not form a contraction. As an application, in the same framework, the Ulam stability of such operators is investigated. We also propose some examples to illustrate our results.