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  • Article
    Citation - Scopus: 29
    Fixed Point Theorem on Partial Metric Spaces Involving Rational Expressions
    (University of Miskolc, 2013) Karapinar,E.; Shatanawi,W.; Tas,K.
    We establish a fixed point theorem involving a rational expression in a complete partial metric space. Our result generalizes a well-known result in (usual) metric spaces. Also, we introduce an example to illustrate the usability of our result. © Miskolc University Press.
  • Article
    Citation - WoS: 16
    Citation - Scopus: 20
    Common Fixed Point Theorems in Cone Banach Spaces
    (Hacettepe Univ, Fac Sci, 2011) Abdeljawad, Thabet; Karapinar, Erdal; Tas, Kenan; Mathematics
    Recently, E. Karapinar (Fixed Point Theorems in Cone Banach Spaces, Fixed Point Theory Applications, Article ID 609281, 9 pages, 2009) presented some fixed point theorems for self-mappings satisfying certain contraction principles on a cone Banach space. Here we will give some generalizations of this theorem.
  • Article
    Citation - Scopus: 22
    On Ekeland's Variational Principle in Partial Metric Spaces
    (Natural Sciences Publishing Co., 2015) Aydi,H.; Karapinar,E.; Vetro,C.
    In this paper, lower semi-continuous functions are used to extend Ekeland's variational principle to the class of partial metric spaces. As consequences of our results, we obtain some fixed point theorems of Caristi and Clarke types. © 2015 NSP.