Yazar "Simsek, Hakan" seçeneğine göre listele

Listeleniyor 1 - 4 / 4
  • Küçük Resim
    Öğe
    A Fixed point theorem on cone metric spaces with new type contractivity
    (Duke Univ Press, 2011) Altun, Ishak; Abbas, Mujahid; Simsek, Hakan
    In the present work, a common fixed point theorem for self maps on cone metric spaces is proved. Also two examples, which shows that our main theorem is generalized version of main theorems of [A. Branciari, Int. J. Math. Math. Sci., 29 (2002), no. 9, 531-536] and [L.G. Huang and X. Zhang, J. Math. Anal. Appl. 332 (2007), no. 2, 1468 1476], are given.
  • Küçük Resim
    Öğe
    Generalized Z-contraction on quasi metric spaces and a fixed point result
    (Int Scientific Research Publications, 2017) Simsek, Hakan; Yalcin, Mensur Tugba
    The simulation function is defined by Khojasteh et al. [F. Khojasteh, S. Shukla, S. Radenovic, Filomat, 29 (2015), 1189-1194]. Khojasteh introduced the notion of Z-contraction which is a new type of nonlinear contractions defined by using a specific simulation function. Then, they proved existence and uniqueness of fixed points for Z-contraction mappings. After this work, studies involving simulation functions were performed by various authors [H. H. Alsulami, E. Karapinar, F. Khojasteh, A. F. Roldan-Lopez-de-Hierro, Discrete Dyn. Nat. Soc., 2014 (2014), 10 pages], [M. Olgun, O. Bicer, T. Alyildiz, Turkish J. Math., 40 (2016), 832-837]. In this paper, we introduce generalized simulation function on a quasi metric space and we present a fixed point theorem. (C) 2017 All rights reserved.
  • Küçük Resim
    Öğe
    Some Fixed Point Theorems on Ordered Metric Spaces and Application
    (Springer International Publishing Ag, 2010) Altun, Ishak; Simsek, Hakan
    We present some fixed point results for nondecreasing and weakly increasing operators in a partially ordered metric space using implicit relations. Also we give an existence theorem for common solution of two integral equations.
  • Küçük Resim
    Öğe
    Two type quasi-contractions on quasi metric spaces and some fixed point results
    (Int Scientific Research Publications, 2017) Simsek, Hakan; Altun, Ishak
    In this paper, we introduce new concepts of quasi-contractions of type (A) and of type (B) in a quasi metric space and we present the differences between of them. Then we present some fixed point results. In the light of the theorems it is shown that, although the Hausdorffness condition of quasi metric space is needed for the mapping of quasi contraction of type (A), it is not necessary to guarantee the existence of fixed point for the mapping of quasi contraction of type (B). (C) 2017 All rights reserved.