Fixed point theorems for weakly contractive mappings in partially ordered metric-like spaces

被引：0
作者：
Hüseyin Işık
Duran Türkoğlu
机构：
[1] University of Gazi,Department of Mathematics, Faculty of Science
[2] University of Amasya,Department of Mathematics, Faculty of Science and Arts
来源：
Fixed Point Theory and Applications | / 2013卷
关键词：
fixed point; weak contraction; partially ordered set; partial metric space; metric-like space;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this article, we establish some fixed point theorems for weakly contractive mappings defined in ordered metric-like spaces. We provide an example and some applications in order to support the useability of our results. These results generalize some well-known results in the literature. We also derive some new fixed point results in ordered partial metric spaces.
引用
收藏
相关论文
共 52 条
  • [1] Valero O(2005)On Banach fixed point theorems for partial metric spaces Appl. Gen. Topol 6 229-240
  • [2] Oltra S(2004)Banach’s fixed point theorem for partial metric spaces Rend. Ist. Mat. Univ. Trieste 36 17-26
  • [3] Valero O(2010)Generalized contractions on partial metric spaces Topol. Appl 157 2778-2785
  • [4] Altun I(2008)Some fixed point theorems on dualistic partial metric spaces J. Adv. Math. Stud 1 1-8
  • [5] Sola F(2011)Existence and uniqueness of a common fixed point on partial metric spaces Appl. Math. Lett 24 1900-1904
  • [6] Simsek H(2011)Fixed points for generalized weakly contractive mappings in partial metric spaces Math. Comput. Model 54 2923-2927
  • [7] Altun I(2012)Fixed point of generalized weakly contractive mappings in ordered partial metric spaces Fixed Point Theory Appl 2012 1-1005
  • [8] Simsek H(2012)Different types Meir-Keeler contractions on partial metric spaces J. Comput. Anal. Appl 14 1000-52
  • [9] Abdeljawad T(2012)Common fixed point results for mappings satisfying Int. J. Math. Stat 12 38-12
  • [10] Karapnar E(2011)-weak contractions in ordered partial metric space J. Adv. Math. Stud 4 1-563
123456