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Special Issue: Recent advances in iterative procedures for solving nonlinear problems

Guest Editors

Prof. Alicia Cordero
Institute for Multidisciplinary Mathematics, Universitat Politècnica de València, Spain
Email: acordero@mat.upv.es


Prof. Juan R. Torregrosa
Institute for Multidisciplinary Mathematics, Universitat Politècnica de València, Spain
Email: jrtorre@mat.upv.es


Dr. Paula Triguero-Navarro
Institute for Multidisciplinary Mathematics, Universitat Politècnica de València, Spain
Email: ptrinav@doctor.upv.es

Manuscript Topics


We welcome contributions devoted to the solution of real problems by means of iterative processes. The main aim of this Special Issue is the design, analysis of convergence and stability, and application to practical problems of new iterative schemes for solving nonlinear scalar equations, nonlinear systems, and nonlinear matrix equations, among others. This includes methods with and without memory, with derivatives or derivative-free, the real or complex dynamics associated with them, and an analysis of their convergence local, semilocal, or global.


Instruction for Authors
http://www.aimspress.com/math/news/solo-detail/instructionsforauthors
Please submit your manuscript to online submission system
https://aimspress.jams.pub/

Paper Submission

All manuscripts will be peer-reviewed before their acceptance for publication. The deadline for manuscript submission is 30 June 2024

Published Papers(21)

Research article
The AA-iterative algorithm in hyperbolic spaces with applications to integral equations on time scales
Aynur Şahin Zeynep Kalkan
2024, Volume 9, Issue 9: 24480-24506. doi: 10.3934/math.20241192
Abstract HTML PDF Viewed (854)
Research article
The development of new efficient iterative methods for the solution of absolute value equations
Rashid Ali Fuad A. Awwad Emad A. A. Ismail
2024, Volume 9, Issue 8: 22565-22577. doi: 10.3934/math.20241098
Abstract HTML PDF Cited (1) Viewed (851)
Research article
Fixed point theorems for enriched Kannan-type mappings and application
Yao Yu Chaobo Li Dong Ji
2024, Volume 9, Issue 8: 21580-21595. doi: 10.3934/math.20241048
Abstract HTML PDF Cited (1) Viewed (946)
Research article
On random force correction for large time steps in semi-implicitly discretized overdamped Langevin equations
Takumi Washio Akihiro Fujii Toshiaki Hisada
2024, Volume 9, Issue 8: 20793-20810. doi: 10.3934/math.20241011
Abstract HTML PDF Viewed (1262)
Research article
Viscosity-type inertial iterative methods for variational inclusion and fixed point problems
Mohammad Dilshad Fahad Maqbul Alamrani Ahmed Alamer Esmail Alshaban Maryam G. Alshehri
2024, Volume 9, Issue 7: 18553-18573. doi: 10.3934/math.2024903
Abstract HTML PDF Viewed (1003)
Research article
Modified mildly inertial subgradient extragradient method for solving pseudomonotone equilibrium problems and nonexpansive fixed point problems
Francis Akutsah Akindele Adebayo Mebawondu Austine Efut Ofem Reny George Hossam A. Nabwey Ojen Kumar Narain
2024, Volume 9, Issue 7: 17276-17290. doi: 10.3934/math.2024839
Abstract HTML PDF Cited (1) Viewed (997)
Research article
Reliable analysis for obtaining exact soliton solutions of (2+1)-dimensional Chaffee-Infante equation
Naveed Iqbal Muhammad Bilal Riaz Meshari Alesemi Taher S. Hassan Ali M. Mahnashi Ahmad Shafee
2024, Volume 9, Issue 6: 16666-16686. doi: 10.3934/math.2024808
Abstract HTML PDF Cited (2) Viewed (828)
Research article
Simplicial decomposition of variational inequalities with multiple nonlinear column generation
William Chung
2024, Volume 9, Issue 6: 14618-14639. doi: 10.3934/math.2024711
Abstract HTML PDF Viewed (799)
Research article
A two-step iteration method for solving vertical nonlinear complementarity problems
Wenxiu Guo Xiaoping Lu Hua Zheng
2024, Volume 9, Issue 6: 14358-14375. doi: 10.3934/math.2024698
Abstract HTML PDF Viewed (885)
Research article
Modified inertial subgradient extragradient algorithms for generalized equilibria systems with constraints of variational inequalities and fixed points
Lu-Chuan Ceng Shih-Hsin Chen Yeong-Cheng Liou Tzu-Chien Yin
2024, Volume 9, Issue 6: 13819-13842. doi: 10.3934/math.2024672
Abstract HTML PDF Cited (2) Viewed (1033)
Research article
Generating irregular fractals based on iterated function systems
Baoxing Zhang Yunkun Zhang Yuanyuan Xie
2024, Volume 9, Issue 5: 13346-13357. doi: 10.3934/math.2024651
Abstract HTML PDF Viewed (1013)
Research article
Double inertial steps extragadient-type methods for solving optimal control and image restoration problems
Austine Efut Ofem Jacob Ashiwere Abuchu Godwin Chidi Ugwunnadi Hossam A. Nabwey Abubakar Adamu Ojen Kumar Narain
2024, Volume 9, Issue 5: 12870-12905. doi: 10.3934/math.2024629
Abstract HTML PDF Cited (5) Viewed (1080)
Research article
Solitary waves of the generalized Zakharov equations via integration algorithms
Hammad Alotaibi
2024, Volume 9, Issue 5: 12650-12677. doi: 10.3934/math.2024619
Abstract HTML PDF Viewed (977)
Research article
Double inertial extrapolations method for solving split generalized equilibrium, fixed point and variational inequity problems
James Abah Ugboh Joseph Oboyi Hossam A. Nabwey Christiana Friday Igiri Francis Akutsah Ojen Kumar Narain
2024, Volume 9, Issue 4: 10416-10445. doi: 10.3934/math.2024509
Abstract HTML PDF Viewed (969)
Research article
Design and dynamical behavior of a fourth order family of iterative methods for solving nonlinear equations
Alicia Cordero Arleen Ledesma Javier G. Maimó Juan R. Torregrosa
2024, Volume 9, Issue 4: 8564-8593. doi: 10.3934/math.2024415
Abstract HTML PDF Cited (3) Viewed (1100)
Research article
Generalized high-order iterative methods for solutions of nonlinear systems and their applications
G Thangkhenpau Sunil Panday Bhavna Panday Carmen E. Stoenoiu Lorentz Jäntschi
2024, Volume 9, Issue 3: 6161-6182. doi: 10.3934/math.2024301
Abstract HTML PDF Cited (3) Viewed (1555)
Research article
Real-world validation of fractional-order model for COVID-19 vaccination impact
Sara Salem Alzaid Badr Saad T. Alkahtani
2024, Volume 9, Issue 2: 3685-3706. doi: 10.3934/math.2024181
Abstract HTML PDF Viewed (1152)
Research article
Generalized viscosity approximation method for solving split generalized mixed equilibrium problem with application to compressed sensing
Charu Batra Renu Chugh Mohammad Sajid Nishu Gupta Rajeev Kumar
2024, Volume 9, Issue 1: 1718-1754. doi: 10.3934/math.2024084
Abstract HTML PDF Cited (2) Viewed (1483)
Research article
The general tensor regular splitting iterative method for multilinear PageRank problem
Shuting Tang Xiuqin Deng Rui Zhan
2024, Volume 9, Issue 1: 1443-1471. doi: 10.3934/math.2024071
Abstract HTML PDF Viewed (1101)
Research article
Inertial subgradient extragradient with projection method for solving variational inequality and fixed point problems
Rose Maluleka Godwin Chidi Ugwunnadi Maggie Aphane
2023, Volume 8, Issue 12: 30102-30119. doi: 10.3934/math.20231539
Abstract HTML PDF Cited (2) Viewed (1137)
Research article
Approximating fixed points of demicontractive mappings in metric spaces by geodesic averaged perturbation techniques
Sani Salisu Vasile Berinde Songpon Sriwongsa Poom Kumam
2023, Volume 8, Issue 12: 28582-28600. doi: 10.3934/math.20231463
Abstract HTML PDF Cited (4) Viewed (1589)