Some fixed point theorems in logarithmic convex structures

In this paper, we introduce the concept of a logarithmic convex structure. Let $X$ be a set and $D\colon X\times X\rightarrow[1,\infty)$ a function satisfying the following conditions: \item{(i)} For all $x,y\in X$, $ D(x,y)\geq1$ and $D(x,y)=1$ if and only if $x=y$. \item{(ii)} For all $x,y\in X$,...

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Bibliographic Details
Main Authors: Alireza Moazzen, Yoel-Je Cho, Choonkil Park, Madjid Eshaghi Gordji
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2017-04-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/142/1/mb142_1_1.pdf