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 …

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 …

Fixed point results in generalized metric spaces without Hausdorff property

Z Kadelburg, S Radenović - Mathematical Sciences, 2014 - Springer
It is well known that generalized metric spaces in the sense of Branciari might not be
Hausdorff and, hence, there may exist sequences in them having more than one limit. Thus …

Fuzzy Fixed Point Results of Fuzzy Mappings on b‐Metric Spaces via (α, F)‐Contractions

S Batul, DS Sagheer, M Anwar, H Aydi… - Advances in …, 2022 - Wiley Online Library
In this manuscript, we establish some fixed point results for fuzzy mappings via (α∗, F)‐
contractions. For validation of the proved results, some nontrivial examples are presented …

[PDF][PDF] Remarks on partial b-metric spaces and fixed point theorems

N Van Dung, VT Le Hang - Matematicki Vesnik, 2017 - vesnik.math.rs
In this paper, we prove some properties of a partial b-metric space in the sense of Shukla. As
applications, we show that fixed point theorems on partial b-metric spaces can be implied …

[PDF][PDF] Some fixed point results for fuzzy generalizations of Nadler's contraction in b-metric spaces

S Kanwal, A Al Mazrooei, GS Garcia, M Gulzar - AIMS Math, 2023 - aimspress.com
Some fixed point results for fuzzy generalizations of Nadler’s contraction in b-metric spaces
Page 1 AIMS Mathematics,8(5): 10177–10195. DOI: 10.3934/math.2023515 Received: 08 …

[PDF][PDF] Some common fixed point theorems for weakly α-admissible pairs in G-metric spaces with auxiliary functions

AH Ansari, S Chandok, N Hussain, Z Mustafa… - J. Math. Anal, 2017 - researchgate.net
The aim of this paper is to present some coincidence and common fixed point results for
generalized contractive mappings with some special type auxiliary functions using the …

[PDF][PDF] Some fixed point theorems for G-rational Geraghty contractive mappings in ordered generalized b-metric spaces

A Latif, Z Kadelburg, V Parvaneh… - J. Nonlinear Sci …, 2015 - kurims.kyoto-u.ac.jp
In this paper, we introduce the notion of G-rational Geraghty contractive mappings in the
setup of ordered generalized b-metric spaces and investigate the existence of fixed points …

Coupled Fixed Point Theorems with Rational Type Contractive Condition via C-Class Functions and Inverse Ck-Class Functions

X Liu, M Zhou, AH Ansari, K Chakrabarti, M Abbas… - Symmetry, 2022 - mdpi.com
The purpose of this paper is to develop coupled fixed point theorems by C-class functions
with mixed monotonicity, discuss the existence of the coupled fixed point of two mappings …

A Solution Approach to Nonlinear Integral Equations in Generalized b‐Metric Spaces

MMM Jaradat, A Ahmad, SU Rehman… - Journal of …, 2024 - Wiley Online Library
In this paper, we study some generalized contraction conditions for three self‐mappings on
generalized b‐metric spaces to prove the existence of some unique common fixed‐point …