Fixed-Point and Iterative Methods for Nonlinear Operators: Existence, Convergence, Stability, and Applications
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".
Deadline for manuscript submissions: 30 December 2026 | Viewed by 4
Special Issue Editor
Special Issue Information
Dear Colleagues,
The investigation of nonlinear operators forms an interdisciplinary domain that holds significant importance across a diverse spectrum of applications. The characteristics and behaviours of these operators play a critical role in advancing our understanding of intricate systems and addressing complex mathematical questions. Such inquiries are particularly relevant in fields that include, but are not limited to, differential equations, dynamical systems, stochastic processes, and evolution equations.
This Special Issue of Axioms is dedicated to exploring fixed points of nonlinear operators, as well as common fixed points for families of these operators. It aims to offer researchers an avenue to present the most recent advancements in the field, encompassing both theoretical frameworks and practical applications related to fixed-point problems. A key emphasis will be placed on various iterative methods used for constructing fixed points, alongside analyses of their convergence and stability properties. Furthermore, the issue will address approaches to approximate solutions, whether through analytical or numerical means, thereby highlighting the breadth of methodologies employed in tackling fixed-point problems.
Prof. Walter Wojciech M Kozlowski
Guest Editor
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Keywords
- existence and uniqueness of fixed points
- approximation of fixed points
- iterative methods for fixed point construction
- implicit iteration processes and their applications
- weak and strong topology convergence of fixed-point construction processes
- stability of iterative algorithms
- applications of fixed-point theorems to differential equations
- stationary points in dynamical systems
- applications of fixed-point theory in science and technology
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