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  • Article
    Citation - WoS: 77
    Citation - Scopus: 81
    α-admissible mappings and related fixed point theorems
    (Springeropen, 2013) Hussain, Nawab; Karapinar, Erdal; Salimi, Peyman; Akbar, Farhana
    In this paper, we prove the existence and uniqueness of a fixed point for certain alpha-admissible contraction mappings. Our results generalize and extend some well-known results on the topic in the literature. We consider some examples to illustrate the usability of our results.
  • Article
    Citation - WoS: 89
    Citation - Scopus: 98
    Modified f-contractions Via α-admissible Mappings and Application To Integral Equations
    (Univ Nis, Fac Sci Math, 2017) Aydi, Hassen; Karapinar, Erdal; Yazidi, Habib
    In this paper, we introduce the concept of a modified F-contraction via alpha-admissible mappings and propose some theorems that guarantee the existence and uniqueness of fixed point for such mappings in the frame of complete metric spaces. We also provide some illustrative examples. Moreover, we consider an application solving an integral equation.