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 …

[PDF][PDF] Rectangular b-metric space and contraction principles

R George, S Radenovic, KP Reshma, S Shukla - J. Nonlinear Sci. Appl, 2015 - gwdg.de
The concept of rectangular b-metric space is introduced as a generalization of metric space,
rectangular metric space and b-metric space. An analogue of Banach contraction principle …

Recent developments in fixed point theory: theoretical foundations and real-world applications

M Younis, L Chen, D Singh - Recent Developments in Fixed-Point Theory, 2024 - Springer
This contributed book has a comprehensive collection of 17 carefully curated chapters that
delve into the latest advancements in fixed-point theory and its diverse applications. It …

Various generalizations of metric spaces and fixed point theorems

T Van An, N Van Dung, Z Kadelburg… - Revista de la Real …, 2015 - Springer
There have been many attempts to generalize the definition of a metric space in order to
obtain possibilities for more general fixed point results. In this paper, we give a survey of …

A new survey: Cone metric spaces

S Aleksic, Z Kadelburg, ZD Mitrovic… - ar**s in the setting of
generalized metric spaces and, based on the very recent paper (Kirk and Shahzad in Fixed …

[PDF][PDF] Complex valued rectangular b-metric spaces and an application to linear equations

O Ege - J. Nonlinear Sci. Appl, 2015 - researchgate.net
In this paper, we introduce complex valued rectangular b-metric spaces. We prove an
analogue of Banach contraction principle. We also prove a different contraction principle …

Recent advances on fixed point theorems

J Patil, B Hardan, YM Ahire, AA Hamoud… - Bulletin of Pure & …, 2022 - indianjournals.com
Recent Advances on Fixed Point Theorems Page 1 www.IndianJournals.com Members
Copy, Not for Commercial Sale Downloaded From IP - 66.249.68.67 on dated 10-Dec-2023 …

Some common fixed point results in rectangular metric spaces

M Arshad, J Ahmad, E Karapınar - International Journal of …, 2013 - Wiley Online Library
We obtain sufficient conditions for the existence of unique common fixed point of (ψ− ϕ)‐
weakly contractive map**s on complete rectangular metric spaces. In the process, we …

[PDF][PDF] The Kannan's fixed point theorem in a cone rectangular metric space.

M Jleli, B Samet - The Journal of Nonlinear Sciences and its Applications, 2009 - eudml.org
1. Introduction If (X, d) is a complete metric space and T: X→ X isa contraction, ie, d (Tx,
Ty)≤ αd (x, y) for all x, y∈ X with α∈[0, 1), then the widely known Banach's contraction map …