TY - JOUR
T1 - Mizoguchi-Takahashi-type theorems in tvs-cone metric spaces
AU - Shatanawi, Wasfi
AU - Rajić, Vesna Ćojbašić
AU - Radenović, Stojan
AU - Al-Rawashdeh, Ahmed
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
KW - Fixed point
KW - Locally convex space
KW - Mizoguchi-Takahashi fixed point theorem
KW - Nadler's fixed point theorem
KW - Tvs-cone metric space
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U2 - 10.1186/1687-1812-2012-106
DO - 10.1186/1687-1812-2012-106
M3 - Article
AN - SCOPUS:84872935385
SN - 1687-1820
VL - 2012
JO - Fixed Point Theory and Applications
JF - Fixed Point Theory and Applications
M1 - 106
ER -