[HTML][HTML] On geometry of fixed figures via φ− interpolative contractions and application of activation functions in neural networks and machine learning models

KH Alam, Y Rohen, A Tomar, M Sajid - Ain Shams Engineering Journal, 2025 - Elsevier
In this work, we introduce novel postulates to establish fixed figure theorems with a focus on
their extension to the domain of mvb− metric spaces. Consequently, we define conditions …

Hybrid fixed point theorems of graphic contractions with applications

JA Jiddah, MS Shagari, M Noorwali, A Aloqaily… - Heliyon, 2024 - cell.com
In this work, a family of hybrid contractions, termed Jaggi-type hybrid (ℵ-τ)-contractive
map** is proposed in metric space equipped with a graph and new conditions under …

[HTML][HTML] Solving integral equations via fixed point results involving rational-type inequalities

S Shah Khayyam, M Sarwar, A Khan, N Mlaiki… - Axioms, 2023 - mdpi.com
In this study, we establish unique and common fixed point results in the context of a
complete complex-valued b-metric space using rational-type inequalities. The presented …

Geometry and application in economics of fixed point

M Joshi, S Upadhyay, A Tomar, M Sajid - Symmetry, 2023 - mdpi.com
Inspired by the reality that the collection of fixed/common fixed points can embrace any
symmetrical geometric shape comparable to a disc, a circle, an elliptic disc, an ellipse, or a …

[HTML][HTML] Almost Ćirić type contractions and their applications in complex valued b-metric spaces

M Sarwar, SK Shah, ZD Mitrović, A Mukheimer… - Axioms, 2023 - mdpi.com
In this article, we present the use of a unique and common fixed point for a pair of map**s
that satisfy certain rational-type inequalities in complex-valued b-metric spaces. We also …

[PDF][PDF] Computational analysis of a novel iterative scheme with an application

F Ahmad, K Ullah, J Ahmad, A Aloqaily, N Mlaiki - Computation, 2024 - researchgate.net
The computational study of fixed-point problems in distance spaces is an active and
important research area. The purpose of this paper is to construct a new iterative scheme in …

[HTML][HTML] F-Contractions Endowed with Mann's Iterative Scheme in Convex G b-Metric Spaces

A Naz, S Batul, DS Sagheer, I Ayoob, N Mlaiki - Axioms, 2023 - mdpi.com
Recently, Ji et al. established certain fixed-point results using Mann's iterative scheme
tailored to G b-metric spaces. Stimulated by the notion of the F-contraction introduced by …

Controlled S-Metric-Type Spaces and Applications to Fractional Integrals

N Ekiz Yazici, O Ege, N Mlaiki, A Mukheimer - Symmetry, 2023 - mdpi.com
In this paper, we introduce controlled S-metric-type spaces and give some of their properties
and examples. Moreover, we prove the Banach fixed point theorem and a more general …

On the fixed circle problem on metric spaces and related results

N Mlaiki, N Özgür, N Taş, D Santina - Axioms, 2023 - mdpi.com
The fixed-circle issue is a geometric technique that is connected to the study of geometric
characteristics of certain points, and that are fixed by the self-map** of either the metric …