On cone metric spaces: a survey

S Janković, Z Kadelburg, S Radenović - Nonlinear Analysis: Theory …, 2011 - Elsevier
Using an old M. Krein's result and a result concerning symmetric spaces from [S. Radenović,
Z. Kadelburg, Quasi-contractions on symmetric and cone symmetric spaces, Banach J. Math …

A new survey: Cone metric spaces

S Aleksic, Z Kadelburg, ZD Mitrovic… - arXiv preprint arXiv …, 2018 - arxiv.org
The purpose of this new survey paper is, among other things, to collect in one place most of
the articles on cone (abstract, K-metric) spaces, published after 2007. This list can be useful …

[HTML][HTML] Distance in cone metric spaces and common fixed point theorems

S Wang, B Guo - Applied Mathematics Letters, 2011 - Elsevier
Distance in cone metric spaces and common fixed point theorems - ScienceDirect Skip to
main contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF …

[PDF][PDF] Topological vector space-valued cone metric spaces and fixed point theorems

Z Kadelburg, S Radenović, V Rakočević - Fixed Point Theory and …, 2010 - Springer
We develop the theory of topological vector space valued cone metric spaces with
nonnormal cones. We prove three general fixed point results in these spaces and deduce as …

Fixed point theorems and periodic problems for nonlinear Hill's equation

A Nowakowski, R Plebaniak - Nonlinear Differential Equations and …, 2023 - Springer
Two main results of fixed point theory in infinite dimensional space are Schauder's theorem
and the contraction mapping principle. Krasnoselskii combined them into one fixed point …

On fixed point theory of monotone mappings with respect to a partial order introduced by a vector functional in cone metric spaces

Z Li, S Jiang - Abstract and Applied Analysis, 2013 - Wiley Online Library
We presented some maximal and minimal fixed point theorems of set‐valued monotone
mappings with respect to a partial order introduced by a vector functional in cone metric …

Kannan-type contractions and fixed points in uniform spaces

K Włodarczyk, R Plebaniak - Fixed Point Theory and Applications, 2011 - Springer
In uniform spaces, using J-families of generalized pseudodistances, we construct four kinds
of contractions of Kannan type and, by techniques based on these generalized …

[PDF][PDF] Convergence of iterates with errors of uniformly quasi-Lipschitzian mappings in cone metric spaces

D Dukic, L Paunovic, S Radenovic - Kragujevac J. Math, 2011 - academia.edu
The aim of this paper is to consider an Ishikawa type iteration process with errors to
approximate the fixed point of two uniformly quasi-Lipschitzian mappings in cone metric …

Contractivity of Leader type and fixed points in uniform spaces with generalized pseudodistances

K Włodarczyk, R Plebaniak - Journal of Mathematical Analysis and …, 2012 - Elsevier
Recently, Jachymski and Jóźwik proved that among various classes of contractions which
are introduced and studied in the metric fixed point theory, the Leader contractions are …

[HTML][HTML] Some results on set-valued contractions in abstract metric spaces

Z Kadelburg, S Radenović - Computers & Mathematics with Applications, 2011 - Elsevier
In this paper, the concept of contractive set-valued maps in the frame of abstract metric
spaces is studied and the existence of fixed points for such maps is guaranteed under …