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 …

Modified α-ψ-contractive mappings with applications

P Salimi, A Latif, N Hussain - Fixed Point Theory and Applications, 2013 - Springer
The aim of this work is to modify the notions of α-admissible and α-ψ-contractive mappings
and establish new fixed point theorems for such mappings in complete metric spaces …

Fixed point and coupled fixed point theorems on b-metric-like spaces

MA Alghamdi, N Hussain, P Salimi - Journal of inequalities and …, 2013 - Springer
We first introduce the concept of b-metric-like space which generalizes the notions of partial
metric space, metric-like space and b-metric space. Then we establish the existence and …

Common fixed points of almost generalized -contractive mappings in ordered b-metric spaces

J Rezaei Roshan, V Parvaneh, S Sedghi… - Fixed point theory and …, 2013 - Springer
In this paper, we introduce the notion of almost generalized (ψ, φ) s-contractive mappings
and we establish some fixed and common fixed point results for this class of mappings in …

Fixed Point Theory in α‐Complete Metric Spaces with Applications

N Hussain, MA Kutbi, P Salimi - Abstract and Applied Analysis, 2014 - Wiley Online Library
The aim of this paper is to introduce new concepts of α‐η‐complete metric space and α‐η‐
continuous function and establish fixed point results for modified α‐η‐ψ‐rational contraction …

Hybrid Ćirić type graphic Υ, Λ-contraction mappings with applications to electric circuit and fractional differential equations

E Ameer, H Aydi, M Arshad, M De la Sen - Symmetry, 2020 - mdpi.com
In this paper, we initiate the notion of Ćirić type rational graphic Υ, Λ-contraction pair
mappings and provide some new related common fixed point results on partial b-metric …

New fixed point results in b-rectangular metric spaces

JRR Roshan, V Parvaneh, Z Kadelburg - … Analysis: Modelling and …, 2016 - zurnalai.vu.lt
New fixed point results in b-rectangular metric spaces Page 1 ISSN 1392-5113 http://dx.doi.org/10.15388/NA.2016.5.4
Nonlinear Analysis: Modelling and Control, 2016, Vol. 21, No. 5, 614–634 New fixed point …

Some common fixed point results in ordered partial b-metric spaces

Z Mustafa, JR Roshan, V Parvaneh… - Journal of inequalities and …, 2013 - Springer
In this paper, we introduce a modified version of ordered partial b-metric spaces. We
demonstrate a fundamental lemma for the convergence of sequences in such spaces. Using …

SUZUKI-WARDOWSKI TYPE FIXED POINT THEOREMS FOR -GF-CONTRACTIONS

N Hussain, P Salimi Salimi - 2014 - projecteuclid.org
Abstract Recently, Wardowski Fixed Point Theory Appl. 2012: 94, 2012 introduced and
studied a new contraction called F-contraction to prove a fixed point result as a …