Mizoguchi-Takahashi-type theorems in tvs-cone metric spaces

Wasfi Shatanawi, Vesna Ćojbašić Rajić, Stojan Radenović, Ahmed Al-Rawashdeh

Research output: Contribution to journalArticlepeer-review

30 Citations (Scopus)

Abstract

In this paper, the concepts of a set-valued contraction of Mizoguchi-Takahashi type in the context of topological vector space (tvs)-cone metric spaces are introduced and a fixed point theorem in the context of tvs-cone metric spaces with respect to a solid cone is proved. We obtained results which extend and generalize the main results of S. H. Cho with J. S. Bae, Mizoguchi with Takahashi and S. B. Nadler Jr. Two examples are given to illustrate the usability of our results.

Original languageEnglish
Article number106
JournalFixed Point Theory and Applications
Volume2012
DOIs
Publication statusPublished - 2012

Keywords

  • Fixed point
  • Locally convex space
  • Mizoguchi-Takahashi fixed point theorem
  • Nadler's fixed point theorem
  • Tvs-cone metric space

ASJC Scopus subject areas

  • Geometry and Topology
  • Applied Mathematics

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