Journal of Mathematics

Recent Trends in Nonlinear and Variational Analysis


Publishing date
01 Jun 2021
Status
Closed
Submission deadline
22 Jan 2021

Lead Editor

1Hangzhou Normal University, Hangzhou, China

2China Medical University, Taichung, Taiwan

3Kaohsiung Medical University, Kaohsiung, Taiwan

This issue is now closed for submissions.
More articles will be published in the near future.

Recent Trends in Nonlinear and Variational Analysis

This issue is now closed for submissions.
More articles will be published in the near future.

Description

In the last three decades, there has been extensive research activities on both the theory and the real applications of nonlinear and variational analysis, two closely related research fields in applied mathematics. They find various applications in many fields, ranging from science and engineering to economics and social sciences.

Recently, iterative methods – in particular, the methods with inertial terms – have been investigated extensively to find solutions of various nonlinear problems, such as variational inequalities, fixed-point problems, variational inclusions, etc. Many new results were established with projections in various spaces.

This Special Issue will focus on nonlinear and variational analysis, while also addressing the practical nature of the two fields. In addition to the strong focus in computational mathematics and operational research, a special emphasis will be given to scientific computing, the theory of numerical methods for solutions of various nonlinear equations, and applications of these fields. This Special Issue solicits high-quality original research articles as well as review articles addressing recent advances. We welcome theoretical, numerical, and experimental contributions.

Potential topics include but are not limited to the following:

  • Fixed point theory, methods, and applications
  • Equilibrium problems, variational inequalities
  • Splitting methods, including backward-forward, ADMM and proximal methods
  • Banach space theory and geometry
  • Bregman operators
  • Feasibility and split feasibility problems
  • Convex/nonconvex, nonsmooth, and set-valued analysis
  • Optimal control theory and methods
  • Differential (including integral, delayed, impulsive) equations and dynamical systems
  • Inverse problems and regularization methods

Articles

  • Special Issue
  • - Volume 2021
  • - Article ID 5542994
  • - Research Article

Condensing Mappings and Best Proximity Point Results

Sarah O. Alshehri | Hamed H. Alsulami | Naseer Shahzad
  • Special Issue
  • - Volume 2021
  • - Article ID 6635026
  • - Research Article

Strong Convergence Analysis of Iterative Algorithms for Solving Variational Inclusions and Fixed-Point Problems of Pseudocontractive Operators

Zhangsong Yao | Yan-Kuen Wu | Ching-Feng Wen
  • Special Issue
  • - Volume 2021
  • - Article ID 6682858
  • - Research Article

Inertial Iterative Schemes for D-Accretive Mappings in Banach Spaces and Curvature Systems

Li Wei | Wenwen Yue | ... | Ravi P. Agarwal
  • Special Issue
  • - Volume 2021
  • - Article ID 6642289
  • - Research Article

Generalized Hadamard Fractional Integral Inequalities for Strongly -Convex Functions

Chao Miao | Ghulam Farid | ... | Yanhua Bian
  • Special Issue
  • - Volume 2021
  • - Article ID 5553126
  • - Research Article

Existence and Uniqueness of Weak Solutions for Novel Anisotropic Nonlinear Diffusion Equations Related to Image Analysis

Anas Tiarimti Alaoui | Mostafa Jourhmane
  • Special Issue
  • - Volume 2021
  • - Article ID 6626660
  • - Research Article

On New -Fixed Point Results for -Contractions in Complete Metric Spaces with Applications

Babak Mohammadi | Wutiphol Sintunavarat | Vahid Parvaneh
  • Special Issue
  • - Volume 2021
  • - Article ID 5516694
  • - Research Article

A New Family of Fourth-Order Optimal Iterative Schemes and Remark on Kung and Traub’s Conjecture

Chein-Shan Liu | Tsung-Lin Lee
  • Special Issue
  • - Volume 2021
  • - Article ID 6624509
  • - Research Article

New Inertial Relaxed CQ Algorithms for Solving Split Feasibility Problems in Hilbert Spaces

Haiying Li | Yulian Wu | Fenghui Wang
  • Special Issue
  • - Volume 2021
  • - Article ID 6636943
  • - Research Article

Newton-PGSS and Its Improvement Method for Solving Nonlinear Systems with Saddle Point Jacobian Matrices

Yao Xiao | Qingbiao Wu | Yuanyuan Zhang
  • Special Issue
  • - Volume 2021
  • - Article ID 6651480
  • - Research Article

A New Algorithm for Privacy-Preserving Horizontally Partitioned Linear Programs

Chengxue Zhang | Debin Kong | ... | Mingyuan Zhou
Journal of Mathematics
 Journal metrics
Acceptance rate22%
Submission to final decision43 days
Acceptance to publication32 days
CiteScore0.500
Journal Citation Indicator0.690
Impact Factor0.971
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Article of the Year Award: Outstanding research contributions of 2020, as selected by our Chief Editors. Read the winning articles.