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Common Fixed Point Theorem for Three Mappings in Banach Valued Norm Spaces
(Gazi Univ, 2013) Karapinar, Erdal; Moradlou, Fridoun; Salimi, Peyman; Mathematics
In this paper, we give a generalized theorem on point of coincidence and common fixed point for three weakly compatible mappings in Banach valued norm spaces. We give a new method for construction of the sequence, which is convergence to the common fixed point of these three mappings.
Citation - WoS: 68
A Note on Common Fixed Point Theorems in Partial Metric Spaces
(Univ Miskolc inst Math, 2011) Karapinar, Erdal
In this manuscript, we consider the notion of generalized Sehgal contraction condition in a partial metric space. For the pair of two self mappings (S, T) which satisfies Sehgal contraction condition, we obtain a unique common fixed point.
Citation - WoS: 48
Citation - Scopus: 46
On Common Fixed Points in the Context of Brianciari Metric Spaces
(Springer Basel Ag, 2017) Aydi, Hassen; Karapinar, Erdal; Zhang, Dong
In this paper, we introduce the concept of generalized ()-contractions and generalized ()-Meir-Keeler-contractions in the setting of Brianciari metric spaces. We prove some common fixed point results for such contractions. An example is presented making effective the new concepts and results.