[PDF][PDF] A new contraction based on H-simulation functions in the frame of extended b-metric spaces and application

T Qawasmeh, R Hatamleh - International Journal of Electrical and …, 2023‏ - academia.edu
The conceptions of b-metric spaces and metric spaces play a remarkable role in proving
many theorems of uniqueness and existence solution of such equations as integral or …

Discussion on b-metric spaces and related results in metric and G-metric spaces

A Bataihah, T Qawasmeh… - … Functional Analysis and …, 2022‏ - koreascience.kr
In the present manuscript, we employ the concepts of Θ-map and Φ-map to define a strong
(𝜃, 𝜙) s-contraction of a map f in a b-metric space (M, db). Then we prove and derive many …

[HTML][HTML] Proinov-type fixed-point results in non-Archimedean fuzzy metric spaces

AF Roldán López de Hierro, A Fulga, E Karapınar… - Mathematics, 2021‏ - mdpi.com
Very recently, Proinov introduced a great family of contractions in the setting of complete
metric spaces that has attracted the attention of many researchers because of the very weak …

On a new version of grierer-meinhardt model using fractional discrete calculus

I Bendib, I Batiha, A Hioual, N Anakira… - Results in …, 2024‏ - nonlinear-analysis.com
As mathematical models of biological pattern generation, this study studies the dynamics of
fractional discrete Gierer-Meinhardt reaction-diffusion system. After deriving the discrete non …

[PDF][PDF] Fixed point results and (α, β)-triangular admissibility in the frame of complete extended b-metric spaces and application

T Qawasmeh, W Shatanawi, A Bataihah… - UPB Scientific Bulletin …, 2021‏ - researchgate.net
We establish the notion of τ-generalized contraction for a pair of map**s S1 and S2 over a
set Z, where τ: Z2→[1,+∞) is a function. We appoint our new notion to formulate and prove …

[PDF][PDF] New contractions and some fixed point results with application based on extended quasi b-metric space

W Shatanawi, T Qawasmeh… - … Bulletin, Series A …, 2021‏ - scientificbulletin.upb.ro
The conceptions of metric spaces and extended b-metric spaces play a major role in proving
many theorems of existence solution of such equations as integral or differential equations …

A COMMON FIXED POINT THEOREM IN AN M*-METRIC SPACE AND AN APPLICATION

GM Gharib, AARM Malkawi, AM Rabaiah… - Nonlinear Functional …, 2022‏ - koreascience.kr
In this paper, we introduce the concept of M*-metric spaces and how much the M*-metric
and the b-metric spaces are related. Moreover, we introduce some ways of generating M …

Coincidence and fixed point results for generalized weak contraction map** on b-metric spaces

AARM Malkawi, A Talafhah… - … Functional Analysis and …, 2021‏ - koreascience.kr
In this paper, we introduce the modification of a generalized (Ψ, L)-weak contraction and we
prove some coincidence point results for self-map**s G, T and S, and some fixed point …

(H, Ωb)-Interpolative Contractions in Ωb-distance Map**s with Application

T Qawasmeh - European Journal of Pure and Applied Mathematics, 2023‏ - ejpam.com
Interpolative Kannan contractions are a refinement of Kannan contraction, which is
considered as one of the significant notions in fixed point theory. Gb-metric spaces is …

Common fixed point results for map**s under nonlinear contraction of cyclic form in b-metric spaces

A Rabaiah, A Tallafha… - … Functional Analysis and …, 2021‏ - nfaa.kyungnam.ac.kr
In this research, we interpret the notion of a b-cyclic (Φ, C, D)− contraction for the pair (g, S)
of self-map**s on the set Y. We employ our definition to introduce some common fixed …