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

UR - http://www.scopus.com/inward/record.url?scp=84872935385&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84872935385&partnerID=8YFLogxK

U2 - 10.1186/1687-1812-2012-106

DO - 10.1186/1687-1812-2012-106

M3 - Article

AN - SCOPUS:84872935385

VL - 2012

JO - Fixed Point Theory and Algorithms for Sciences and Engineering

JF - Fixed Point Theory and Algorithms for Sciences and Engineering

SN - 1687-1820

M1 - 106

ER -