The early developments in fixed point theory on b-metric spaces

V Berinde, M Păcurar - Carpathian Journal of Mathematics, 2022 - JSTOR
A very impressive research work has been devoted in the last two decades to obtaining fixed
point theorems in quasimetric spaces (also called b-metric spaces). Some incorrect and …

A Generalization of b-Metric Space and Some Fixed Point Theorems

T Kamran, M Samreen, Q UL Ain - Mathematics, 2017 - mdpi.com
In this paper, inspired by the concept of b-metric space, we introduce the concept of
extended b-metric space. We also establish some fixed point theorems for self-mappings …

Some coincidence point results in ordered b-metric spaces and applications in a system of integral equations

JR Roshan, V Parvaneh, I Altun - Applied Mathematics and Computation, 2014 - Elsevier
Some coincidence point results in ordered b-metric spaces and applications in a system of
integral equations - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals …

Common fixed point of generalized weak contractive mappings in partially ordered b-metric spaces

A Aghajani, M Abbas, JR Roshan - Mathematica Slovaca, 2014 - Springer
COMMON FIXED POINT OF GENERALIZED WEAK CONTRACTIVE MAPPINGS IN
PARTIALLY ORDERED B-METRIC SPACES 1. Introduction and preliminari Page 1 ÓDOI …

[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 …

Partial b-metric spaces and fixed point theorems

S Shukla - Mediterranean Journal of Mathematics, 2014 - Springer
The purpose of this paper is to introduce the concept of partial b-metric spaces as a
generalization of partial metric and b-metric spaces. An analog to Banach contraction …

A generalized metric space and related fixed point theorems

M Jleli, B Samet - Fixed point theory and Applications, 2015 - Springer
We introduce a new concept of generalized metric spaces for which we extend some well-
known fixed point results including Banach contraction principle, Ćirić's fixed point theorem …

New fixed point theorems for set-valued contractions in b-metric spaces

R Miculescu, A Mihail - Journal of Fixed Point Theory and Applications, 2017 - Springer
In this paper, we indicate a way to generalize a series of fixed point results in the framework
of b-metric spaces and we exemplify it by extending Nadler's contraction principle for set …

-Algebra-valued b-metric spaces and related fixed point theorems

Z Ma, L Jiang - Fixed Point Theory and Applications, 2015 - Springer
Based on the concept and properties of C∗ C^∗-algebras, the paper introduces a concept of
C∗ C^∗-algebra-valued b-metric spaces which generalizes the concept of C∗ C^∗-algebra …

Fixed points of cyclic weakly -contractive mappings in ordered b-metric spaces with applications

N Hussain, V Parvaneh, JR Roshan… - Fixed Point Theory and …, 2013 - Springer
We introduce the notion of ordered cyclic weakly (ψ, φ, L, A, B)-contractive mappings, and
we establish some fixed and common fixed point results for this class of mappings in …