Browsing by Author "Vetro, Pasquale"
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Article Citation Count: 47Fixed point results for Gm-Meir-Keeler contractive and G-(α, ψ)-Meir-Keeler contractive mappings(Springer international Publishing Ag, 2013) Karapınar, Erdal; Karapinar, Erdal; Salimi, Peyman; Vetro, Pasquale; MathematicsIn this paper, first we introduce the notion of a G(m)-Meir-Keeler contractive mapping and establish some fixed point theorems for the G(m)-Meir-Keeler contractive mapping in the setting of G-metric spaces. Further, we introduce the notion of a G(c)(m)-Meir-Keeler contractive mapping in the setting of G-cone metric spaces and obtain a fixed point result. Later, we introduce the notion of a G-(alpha, psi)-Meir-Keeler contractive mapping and prove some fixed point theorems for this class of mappings in the setting of G-metric spaces.