Uniqueness of solution for higher-order nonlinear fractional differential equations with multi-point and integral boundary conditions

R Sevinik-Adıgüzel, Ü Aksoy, E Karapınar… - Revista de la Real …, 2021 - Springer
This study is devoted to the development of alternative conditions for existence and
uniqueness of nonlinear fractional differential equations of higher-order with integral and …

[Retracted] Ordered‐Theoretic Fixed Point Results in Fuzzy b‐Metric Spaces with an Application

K Javed, F Uddin, H Aydi, A Mukheimer… - Journal of …, 2021 - Wiley Online Library
The aim of this manuscript is to initiate the study of the Banach contraction in R‐fuzzy b‐
metric spaces and discuss some related fixed point results to ensure the existence and …

A survey: F-contractions with related fixed point results

E Karapınar, A Fulga, RP Agarwal - Journal of Fixed Point Theory and …, 2020 - Springer
In this note, we aim to review the recent results on F-contractions, introduced by Wardowski.
After examining the fixed point results for such operators, we collect the sequent results in …

[HTML][HTML] Stone-type theorem on b-metric spaces and applications

T Van An, LQ Tuyen, N Van Dung - Topology and its Applications, 2015 - Elsevier
In this paper, we first show that every b-metric space with the topology induced by its
convergence is a semi-metrizable space and thus many properties of b-metric spaces used …

Fixed-point results for Meir–Keeler type contractions in partial metric spaces: A survey

E Karapınar, RP Agarwal, SS Yeşilkaya, C Wang - Mathematics, 2022 - mdpi.com
In this paper, we aim to review Meir–Keeler contraction mappings results on various abstract
spaces, in particular, on partial metric spaces, dislocated (metric-like) spaces, and M-metric …

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 fixed point approach for tuning circuit problem in dislocated b‐metric spaces

M Younis, D Singh, AAN Abdou - Mathematical Methods in the …, 2022 - Wiley Online Library
The content of this article is threefold. First, we enunciate some novel results concerning
Reich‐ℳ mappings endowed with a graph ℳ in the context of dislocated b‐metric spaces. By …

Best Proximity Point Results in G‐Metric Spaces

N Hussain, A Latif, P Salimi - Abstract and Applied Analysis, 2014 - Wiley Online Library
G‐metric spaces proved to be a rich source for fixed point theory; however, the best
proximity point problem has not been considered in such spaces. The aim of this paper is to …

On the existence of the solution of Hammerstein integral equations and fractional differential equations

M Younis, D Singh - Journal of Applied Mathematics and Computing, 2022 - Springer
Nonlinear integral equations (particularly Hammerstein integral equations) and fractional
differential equations have been the center of extensive research for various scientists …

Fuzzy b-metric spaces

S Nădăban - International Journal of Computers Communications & …, 2016 - univagora.ro
Metric spaces and their various generalizations occur frequently in computer science
applications. This is the reason why, in this paper, we introduced and studied the concept of …