Solutions of the Nonlinear Integral Equation and Fractional Differential Equation Using the Technique of a Fixed Point with a Numerical Experiment in Extended b …

T Abdeljawad, RP Agarwal, E Karapınar, PS Kumari - Symmetry, 2019 - mdpi.com
The present paper aims to define three new notions: Θ e-contraction, a Hardy–Rogers-type
Θ-contraction, and an interpolative Θ-contraction in the framework of extended b-metric …

[PDF][PDF] Fixed point results for generalized Θ-contractions

J Ahmad, AE Al-Mazrooei, YJ Cho… - J. Nonlinear Sci …, 2017 - researchgate.net
The aim of this paper is to extend the result of [M. Jleli, B. Samet, J. Inequal. Appl., 2014
(2014), 8 pages] by applying a simple condition on the function Θ. With this condition, we …

Stability analysis for complex-valued neural networks with fractional order

SK Panda, AM Nagy, V Vijayakumar… - Chaos, Solitons & Fractals, 2023 - Elsevier
In the context of complex-valued rectangular b-metric spaces, the present study investigates
the stability of complex-valued neural networks (CVNNs) with fractional order. Using the …

[PDF][PDF] The Meir-Keeler type contractions in extended modular b-metric spaces with an application

A Gholidahneh, S Sedghi, O Ege, ZD Mitrovic… - AIMS Math, 2021 - researchgate.net
In this paper, we introduce the notion of a modular p-metric space (an extended modular b-
metric space) and establish some fixed point results for α-̂ν-Meir-Keeler contractions in this …

Weak θ-contractions and some fixed point results with applications to fractal theory

M Imdad, WM Alfaqih, IA Khan - Advances in Difference Equations, 2018 - Springer
In this paper, we define weak θ-contractions on a metric space into itself by extending θ-
contractions introduced by Jleli and Samet (J. Inequal. Appl. 2014: 38, 2014) and utilize the …

Extended Rectangular b-Metric Spaces and Some Fixed Point Theorems for Contractive Mappings

Z Mustafa, V Parvaneh, MMM Jaradat, Z Kadelburg - Symmetry, 2019 - mdpi.com
In this paper, we introduce the class of extended rectangular b-metric spaces as a
generalization of both rectangular metric and rectangular b-metric spaces. In addition, some …

New fixed point results for F-contractions of Hardy–Rogers type in b-metric spaces with applications

D Derouiche, H Ramoul - Journal of Fixed Point Theory and Applications, 2020 - Springer
The purpose of this paper is to introduce the notions of extended F-contraction of Hardy–
Rogers type, extended F-contraction of Suzuki–Hardy–Rogers type and generalized F-weak …

Fixed point theorems of JS-quasi-contractions

Z Li, S Jiang - Fixed point theory and applications, 2016 - Springer
In this paper, we introduce the concept of JS-quasi-contraction and prove some fixed point
results for JS-quasi-contractions in complete metric spaces under the assumption that the …

Fixed Points for Multivalued Suzuki Type ()‐Contraction Mapping with Applications

M Abbas, H Iqbal, A Petrusel - Journal of Function Spaces, 2019 - Wiley Online Library
In this paper, we will introduce the concept of Suzuki type multivalued (θ, R)‐contraction and
we will prove some fixed point results in the setting of a metric space equipped with a binary …

New complex and hyperbolic forms for Ablowitz–Kaup–Newell–Segur wave equation with fourth order

Eİ Eskitaşçıoğlu, MB Aktaş… - Applied Mathematics and …, 2019 - sciendo.com
Researching different solutions of nonlinear models has been interesting in different fields of
science and application. In this study, we investigated different solutions of fourth-order …