Explanipedia

Short Note of Linguistic SuperHypersoft Set Open

Takaaki Fujita, Ayman A. Hazaymeh, Iqbal M. Batiha, Anwar Bataihah, Jamal Oudetallah · 2025

Soft sets provide a mathematical framework for decision-making by associating parameters with subsets of a universal set, effectively managing uncertainty and imprecision [6, 7]. Over time, various extensions of soft sets, including Hypers…

Fixed point theorems for contractions of integral type through generalized Omega distance Open

Mutaz Shatnawi, Anwar Bataihah · 2025

This paper introduces a novel fixed-point theorem for integral-type contractions using generalized Omega-distance. Our findings broaden and unify multiple well-known results in the literature by weakening contraction requirements and integ…

Gamma-k distance and fixed point theorems Open

Anwar Bataihah, Arslan Hojjat Ansari, Seyyed Hossein Jafari Petroudi, Tariq Qawasmeh, Ayman Hazaymeh · 2025

The objective of this manuscript is to present distance mappings, particularly γ-k distance mappings. By employing these mappings, we can successfully implement considerable contractions on a mapping f: Z → Z. To illustrate the significanc…

Utilizing Simulation Functions in Demonstrating Fixed Point Theorems within Complete Neutrosophic Fuzzy Metric Spaces Open

Anwar Bataihah, Ayman A. Hazaymeh, Naser Odat, Alaa Melhem, Majdoleen Abu Qamar · 2025

Fixed point theory is a fundamental concept that underpins various areas of both applied and theoretical mathematics, owing to its widespread applications across diverse disciplines. This study delves into the development of fixed point th…

On Parameterized Time Neutrosophic Soft Set and its Aplication Open

Ayman Hazaymeh, Anwar Bataihah, Majdoleen Abu Qamar, Naser Alodat, Alaa Melhem · 2025

In his doctoral dissertation, Ayman A. Hazaymeh presented the idea of time-fuzzy soft set in 2013, which is an extension of fuzzy soft set[1]. In this work, we present the idea of the parameterized time neutrosophic soft set, which is an e…

Analytical Investigation of the Existence and Ulam Stability of Integro-Differential Equations with Conformable Derivatives Under Non-Local Conditions Open

Seddiki Fakhreddine, Ayman A. Hazaymeh, Mazin Aljazzazi, Reham Qaralleh, Anwar Bataihah , et al. · 2025

This study examines an integro-differential equation involving fractional conformable derivatives and non-local conditions. It proves the existence and uniqueness of mild solutions by applying the Banach fixed-point theorem. Furthermore, i…

New Fixed Point Results for Gamma Interpolative Contractions through Gamma Distance Mappings Open

Tariq Qawasmeh, Anwar Bataihah, Ayman A. Hazaymeh, Raed Hatamleh, Ra’ft Abdelrahim , et al. · 2025

In this manuscript, we introduced several noteworthy contractions. These contractions emerge from the integration of two concepts: γ-distance and interpolative contraction. To demonstrate the importance of our findings, we present an appli…

The Effect of the Weighted Expert Factor on Time Fuzzy Soft Expert Sets Open

Anwar Bataihah · 2025

In this study, the effect of the weighted expert factor on time fuzzy soft expert sets (W-TFSES) is introduced as an extension of the fuzzy soft set. We will also define and investigate the features of its main operations (complement, unio…

Global Existence for Heat Equation with Nonlinear and Damping Piecewise Neumann Boundary Condition Open

Iqbal M. Batiha, Zainouba Chebana, Taki-Eddine Oussaeif, Sana Abu-Ghurra, Abeer A. Al-Nana , et al. · 2025

The Columbia space shuttle catastrophe in 2003 served as the inspiration for this paper’s improved mathematical model, which includes a nonlinear damping Neumann boundary condition. By creating and examining a modified heat equation with p…

Quasi Contractions and Fixed Point Theorems in the Context of Neutrosophic Fuzzy Metric Spaces Open

Anwar Bataihah, Ayman Hazaymeh · 2025

Fixed point theory has garnered significant interest due to its applicability across various scientific disciplines. In this manuscript, we present fixed point theorems pertaining to neutrosophic fuzzy quasi-contractions, situated within t…

A Multistable Discrete Memristor and Its Application to Discrete-Time FitzHugh–Nagumo Model Open

Mohd Taib Shatnawi, Amina–Aicha Khennaoui, Adel Ouannas, Giuseppe Grassi, Antonio Vincenzo Radogna , et al. · 2023

This paper presents a multistable discrete memristor that is based on the discretization of a continuous-time model. It has been observed that the discrete memristor model is capable of preserving the characteristics of the continuous memr…

<i>N</i><sup>th</sup> Composite Iterative Scheme via Weak Contractions with Application Open

Tariq Qawasmeh, Anwar Bataihah, Khalaf Bataihah, Ahmad Qazza, Raed Hatamleh · 2023

The main goal of this study is to formulate an effective iterative scheme, namely, an n th − composite iterative scheme for approximating the fixed point of a self‐map with weak contraction property. We show that the n th − composite itera…

Remarks on G-Metric Spaces and Related Fixed Point Theorems Open

Wasfı Shatanawi, Anwar Bataihah · 2021

In this paper we usethe notion of (A,B)-weakly increasing mappings in the sense of W.Shatanawi and M. Postolache [W. Shatanawi, M. Postolache, Common fixed point results for mappings under nonlinear contraction ofcyclic form in ordered met…

On ℋ-Simulation Functions and Fixed Point Results in the Setting of ωt-Distance Mappings with Application on Matrix Equations Open

Anwar Bataihah, Wasfı Shatanawi, Tariq Qawasmeh, Raed Hatamleh · 2020

The concepts of b-metric spaces and ω t -distance mappings play a key role in solving various kinds of equations through fixed point theory in mathematics and other science. In this article, we study some fixed point results through these …

Four-Step Iteration Scheme to Approximate Fixed Point for Weak Contractions Open

Wasfı Shatanawi, Anwar Bataihah, Abdalla Tallafha · 2020

Fixed point theory is one of the most important subjects in the setting of metric spaces since fixed point theorems can be used to determine the existence and the uniqueness of solutions of such mathematical problems. It is known that many…

Common Fixed Point Results for Rational (α,β)φ-mω Contractions in Complete Quasi Metric Spaces Open

Tariq Qawasmeh, Wasfı Shatanawi, Anwar Bataihah, Abdalla Tallafha · 2019

The ω -distance mapping is one of the important tools that can be used to get new contractions in fixed point theory. The aim of this paper is to use the concept of modified ω -distance mapping to introduce the notion of rational ( α , β )…

Nonlinear contractions and fixed point theorems with modified ω-distance mappings in complete quasi metric spaces Open

Inam Nuseir, Wasfı Shatanawi, Issam Abu-Irwaq, Anwar Bataihah · 2017

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Fixed and common fixed point theorems in partially ordered quasi-metric spaces Open

Wasfı Shatanawi, Mohd Salmi Md Noorani, Habes Alsamir, Anwar Bataihah · 2016

In this paper, we prove some new fixed and common fixed point results in the framework of partially ordered quasi-metric spaces under linear and nonlinear contractions.Also we obtain some fixed point results in the framework of G-metric sp…

Fixed and common fixed point results for cyclic mappings of Ω -distance Open

Wasfı Shatanawi, Anwar Bataihah, Ariana Pitea · 2016

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