Browsing by Author "AYDI, Hassen"
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Item A fixed point theorem for set-valued quasi-contractions in b-metric space(2014-12-06) KARAPINAR, Erdal; AYDI, Hassen; BOTA, Monica-Felicia; MITROVIĆ, SlobodankaIn this article, we give a fixed point theorem for set-valued quasi-contraction maps in b-metric spaces. This theorem extends, unifies and generalizes several well known comparable results in the existing literature.Item Best proximity points of generalized almost ψ-Geraghty contractive non-self-mappings(Fixed Point Theory and Applications, 2014-08-08) AYDI, Hassen; KARAPINAR, Erdal; ERHAN, İnci M.; SALIMI, PeymanIn this paper, we introduce the new notion of almost ψ-Geraghty contractive mappings and investigate the existence of a best proximity point for such mappings in complete metric spaces via the weak P-property. We provide an example to validate our best proximity point theorem. The obtained results extend, generalize, and complement some known fixed and best proximity point results from the literature.