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.
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.
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 New Approach to Vague Soft Rough Topological Spaces Raed Hatamleh, Haitham Alqawaqneh, Nasir Odat Nasir Odat2 Odat, Abdallah Al-Husban, Arif Mehmood Khattak, et al. 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