New Types of Integral Contractions in Supra Metric Space Haitham Qawaqneh, Rishikant Sharma, Dalip Singh, Pankaj Kumar Statistics Optimization and Information Computing, 2026 In the present article, we shall define the new notions of generalized (S − ψ)contractions of integral type A and B and prove the related fixed point theoremsin the setting of supra metric space. Then, we shall deduce some new results fromthe proved results in the form of consequences. An example will also be given toshow the real existence of a proved result. Finally, as an application a Fredholmintegral equation is solved.
Unified Fixed Point Theory in Generalized Metric Structures with Applications to Nonlinear Economic Systems Haitham Qawaqneh Statistics Optimization and Information Computing, 2026 This paper introduces a comprehensive framework unifying recent advancements in fixed point theory through the novel concept of \\emph{twisted weighted $\\Theta$-$b$-metric spaces}. We establish a framework of fixed point theorems for multi-valued mappings satisfying generalized rational type contractions that incorporate control functions, weight functions, and twisted admissibility conditions. By synthesizing concepts from \\v{C}iri\\'{c}-type contractions, Berinde's almost contractions, Jleli's $\\Theta$-contractions, and weighted $b$-metric spaces, we create a powerful analytical tool with unprecedented theoretical depth. The work provides rigorous proofs, extensive numerical validation, and demonstrates significant applications to economic systems, including production-consumption equilibrium models and fractional economic growth equations. Our results substantially generalize numerous classical theorems while opening new avenues for research in nonlinear analysis and mathematical economics.
Extended Sehgal-Guseman Contractions in Generalized Metric Spaces with Applications to Fractional and Elastic Systems Haitham Qawaqneh Statistics Optimization and Information Computing, 2026 This paper introduces and analyzes a novel class of Sehgal--Guseman-type contractions in the framework of extended $b$-metric spaces. By incorporating functional parameters that depend on iterates of the mapping, we establish generalized fixed-point theorems that significantly extend classical results. The proposed contraction conditions offer enhanced flexibility and applicability, particularly in nonlinear analysis. We demonstrate the practical relevance of our theoretical findings through applications to nonlinear fractional differential equations and boundary value problems, supported by numerical examples and comparative analysis. Our results contribute to the advancement of fixed-point theory in generalized metric settings and open new avenues for solving complex functional equations.
Bolas Spider Algorithm: A Novel Efficient Nature-Inspired Metaheuristic for Complex Continuous Optimization International Journal of Intelligent Engineering and Systems, 2026 A novel metaheuristic optimization algorithm named Bolas Spider Algorithm (BSA), inspired by the hunting behaviour of bolas spiders is presented in this paper.The proposed algorithm combines pheromone-guided exploration with targeted prey-capture exploitation to achieve a dynamic balance between diversification and intensification, enabling effective navigation of complex continuous optimization landscapes.The algorithm's design emphasizes adaptability, robustness, and high solution quality, while avoiding premature convergence and maintaining population diversity.Performance of the algorithm was rigorously evaluated on a comprehensive benchmark suite comprising 29 continuous functions, including unimodal, multimodal, hybrid, and composition problems.Comparative experiments involved nine recently developed metaheuristic algorithms, and multiple statistical measures-mean, best, worst, standard deviation, median, and rank-were computed over 30 independent runs for each function.Additionally, the Wilcoxon signed-rank test has been employed to validate the statistical significance of the results.Empirical findings indicate that the proposed algorithm consistently achieves superior performance, obtaining the first rank in 24 out of 29 benchmark functions, including all composition functions and several complex multimodal and hybrid problems.Qualitative analysis using boxplot visualizations further confirms the algorithm's stability and robustness, demonstrating narrow distributions, low variability, and minimal outliers across independent runs.The observed advantages are attributed to the algorithm's dual search mechanism, which efficiently combines global exploration with local exploitation, ensuring both convergence accuracy and repeatability.Overall, the results establish the proposed algorithm as a highly effective, reliable, and statistically validated optimization method.Its biologically inspired mechanisms and parameter-efficient design make it suitable for a wide range of continuous optimization problems, with potential applications in engineering, industrial, and real-world decision-making scenarios.
Moonlight Bat Optimization (MBO): A Nature-inspired Metaheuristic Balancing Adaptive Exploration and Precision Exploitation International Journal of Intelligent Engineering and Systems, 2026 Moonlight Bat Optimization (MBO) algorithm, a novel bio-inspired metaheuristic that emulates the nocturnal foraging behavior of Moonlight Bats, is proposed in this paper.MBO integrates two complementary phases-global exploration and local exploitation-to achieve a robust balance between search diversity and convergence precision.The exploration phase is inspired by high-altitude, wide-area flights, where stochastic, moonlight-scaled movements and frequency-modulated attraction toward promising regions prevent premature convergence and promote comprehensive coverage of the solution space.The exploitation phase mimics low-altitude precision hunting, applying directed, distance-aware adjustments and loudness-scaled local perturbations to refine candidate solutions near high-fitness areas.The algorithm was rigorously evaluated on 23 benchmark functions, encompassing unimodal, high-dimensional multimodal, and fixed-dimensional multimodal problems, and compared against nine advanced metaheuristic algorithms.Results demonstrate that MBO consistently achieves competitive convergence rates and high-quality solutions, effectively preserving population diversity while exploiting promising regions.However, it is noteworthy that MBO does not attain the top rank on all test functions, highlighting inherent challenges in complex multimodal landscapes and indicating potential avenues for algorithmic enhancement.Key contributions of this work include: the biologically grounded formulation of exploration and exploitation operators, rigorous mathematical modeling of bat-inspired search behaviors, and comprehensive comparative performance analysis.MBO provides a flexible and interpretable framework suitable for diverse complex optimization tasks, and its design principles offer opportunities for extensions to constrained, dynamic, and large-scale optimization problems.
Exploring the truncated M-fractional exact soliton solutions and modulation instability of the Heimburg model Haitham Qawaqneh, , Abdulaziz Khalid Alsharidi, and Aims Mathematics, 2026 This research investigated the different types of exact soliton solutions of the biomathematics model known as the truncated M-fractional Heimburg model. This concerned equation describes the transmission of electromechanical pulses in nerves as well as to describe the flow of blood through blood vessels. For our purpose, we used the modified extended tanh function scheme and the modified $ (G'/G^2) $-expansion scheme. The obtained exact soliton solutions were the periodic, kink, singular, dark, bright, and other soliton solutions. The obtained solutions were dynamically explained by using 2D, 3D, and contour graphs. The obtained results were nonexistent due to the use of a novel definition of fractional derivatives. Both schemes were not used for the concerned model in the literature. The effect of the fractional derivative on the solutions was explained by using 2D graphs. Next we gained the steady-state solutions with the help of modulation instability analysis. The obtained solutions are useful for various purposes like blood flow simulation, vascular disease modeling, hemodynamic analysis, medical device design, physiological research, etc.
MONOTONE VECTOR FIELDS AND PROXIMAL ALGORITHMS IN G-METRIC SPACES: A COMPREHENSIVE FRAMEWORK WITH APPLICATIONS TO MODERN OPTIMIZATION CHALLENGES G Sudhaamsh Mohan Reddy, Haitham Qawaqneh Image Analysis and Stereology, 2026 Advances in optimization theory have been made systematically by the desire to solve more and more complicated geometric structures that are realised in contemporary applications. This is a rigorous investigation of monotone vector fields and proximal algorithms in the deep geometrical setting of generalized metric spaces (G-metric spaces). Our study fills a general deficiency in the literature by generalizing classical monotonicity principles and proximal point algorithms to support the complex three-point distance structure of G-metric spaces. In this way, by conducting a strict theoretical study, we prove the existence and uniqueness of solutions in the concept of monotone inclusion, are able to develop effective proximal algorithms with guaranteed convergence rates, and illustrate their successful application in different areas of practice. Theoretical contributions that we have made include: (1) the extension of monotonicity theory in all its forms to G-metric spaces with complete characterizations, (2) the construction of strongly convergent proximal point algorithms that are explicit in rate of convergence, and (3) its application to variational inequalities and multi-objective optimization problems in non-standard geometries, where the old metric structures are no longer applicable. Our findings create new opportunities to deal with optimization problems in complex networks, social systems, and the present-day machine learning paradigms.
Exploring the exact soliton solutions, stability, and modulation instability analysis to the Wu–Zhang water wave model Haitham Qawaqneh, Taha Radwan, Karim K. Ahmed Journal of Engineering Research Kuwait, 2026 In this research, we reveal the impressive exact solitons to the space–time fractional Wu-Zhang model. This model describes the nonlinear water waves availability and harbor and coastal design in engineering fields. For this investigation, we utilized the novel technique, the Sardar sub-equation scheme. We obtained various wave solutions containing trigonometric, hyperbolic and rational profiles. Dynamical description of the gained solutions is provided through two-D, three-D and contour graphs. Further, stability is checked by applying stability analysis. Additionally, steady-state results are gained by using modulation instability. Non-linear optics, engineering, fluid physics, oceanography and many other domains can benefit from the obtained results. It is concluded that the used technique is also helpful for other nonlinear fractional models.
Structural Properties and Applications of Generalized Fractional Multivariate q-Laguerre Polynomials Haitham Qawaqneh, Gawhara Al-Musannef, Habes Alsamir International Journal of Analysis and Applications, 2026 We introduce and develop a new class of Generalized Multivariate Fractional q-Laguerre Polynomials (GMFQLP), extending classical q-Laguerre families into a fractional and multivariate setting. Rigorous proofs are provided for generating functions, operational identities, and fractional q-difference equations. Explicit fractional q-integral operators are defined and analyzed. Applications to orthogonality, asymptotics, and Volterra-type integral equations are established. Numerical and graphical results are presented for zeros and structural patterns. This work unifies several existing theories and provides new avenues for quantum calculus and approximation theory.
A novel cubic circular picture fuzzy set framework with Bonferroni mean operators and an illustrative application to quantum computing technology selection Haitham Qawaqneh, Department of Basic Sciences, AI-Zaytoonah University of Jordan, Amman 11733, Jordan; h.alqawaqneh@zuj.edu.jo, Abdallah Shihadeh, Wael Mahmoud Mohammad Salameh, Sultan Hussain, Muhammad Zeeshan, Takaaki Fujita, Department of Mathematics, Faculty of Science, The Hashemite University, Zarqa 13133, P.O. box 330127, Jordan; abdallaha_ka@hu.edu.jo, Faculty of Information Technology, Abu Dhabi University, Abu Dhabi United Arab Emirates; Wael.salameh@adu.ac.ae, Department of Mathematics, Statistics, College of Sciences, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11623, Saudi Arabia; SHDarwaish@imamu.edu.sa, Departments of Mathematics, The University of Agriculture, Dera Ismail Khan, Pakistan; zeeshan.msc08@gmail.com, Independent Researcher, (not affiliated with any university or research institute) Tokyo, Japan; Takaaki.fujita060@gmail.com Aims Mathematics, 2026
A New Approach to Vague Soft Rough Topological Spaces Raed Hatamleh, Haitham Alqawaqneh, Nasir Odat Nasir Odat2 Odat, Abdallah Al-Husban, Arif Mehmood Khattak, Alaa M. Abd El-latif, Walid Abdelfattah, M. I. Elashiry, Abdelhalim Hasnaoui European Journal of Pure and Applied Mathematics, 2025
Advanced Fixed-Point Results for New Type Contractions via Simulation Functions in b-Metric Spaces with an Application to Nonlinear Integral Nonlinear Dynamics and Systems Theory, 2025
Helicoidal Surfaces Satisfying ΔiIIr = Ar Hassan Alzoubi, Waseem Al-Mashaleh, Haitham Qawaqneh, Mohammad Al-kafaween 2023 International Conference on Information Technology Cybersecurity Challenges for Sustainable Cities Icit 2023 Proceeding, 2023
Some results on traces of the generalized products and sums of positive semidefinite matrices International Journal of Mathematics and Computer Science, 2022
New contraction embedded with simulation function and cyclic (α, β)-admissible in metric-like spaces International Journal of Mathematics and Computer Science, 2020
Fixed point theorems for (α, k, θ)-contractive multi-valued mapping in b-metric space and applications International Journal of Mathematics and Computer Science, 2019