Submission Deadline: 04 January 2023 (closed)
In a wide range of mathematical, computational, economical, modelling and engineering problems, the existence of a solution to a theoretical or real-world problem is equivalent to the existence of a fixed point for a suitable map. Fixed points are therefore of great importance in many areas of mathematics, sciences and engineering.
Fixed Point theory itself is a beautiful mixture of analysis (pure and applied), topology and geometry. Fixed point techniques have been applied in such diverse fields as biology, chemistry, physics, engineering, game theory and economics. In numerous cases finding the exact solution is not possible; hence it is necessary to develop appropriate algorithms to approximate the requested result. This is strongly related to control and optimization problems arising in the different sciences and in engineering problems.
Many situations in the study of nonlinear equations, calculus of variations, partial differential equations, optimal control and inverse problems can be formulated in terms of fixed-point problems or optimization. Fixed point theory has several applications in theoretical and applied fields of mathematics, such as integral and differential equations and inclusions, dynamical system theory, mathematics of fractals, mathematical economics, and mathematical modelling. Fixed point procedures are a straightforward and efficient method for modelling, evaluating, and solving a wide range of data science problems.
The objective of this special issue is to report the latest advancements in the solutions of real-world problems, in particular by using the fixed/best-proximity point theory. We aim to provide a platform for researchers to promote, share, and discuss various new issues and developments in this area.The objective of this special issue is to report the latest advancements in the solutions of real-world problems, in particular by using the fixed/best-proximity point theory. We aim to provide a platform for researchers to promote, share, and discuss various new issues and developments in this area.
Fixed Point Theory in Banach space and Metric Spaces
Coincidence Point Theory and Applications
Application to Differential and Integral Equations
Fixed Point Theory in CAT(0) Spaces
Fixed Point Theory in Generalized Metric Spaces
Convergence and Stability Analysis of Iterative Methods
Applications of Fixed Point to Variational Inequality Problem, Split Feasibility Problem and Optimizations
Open Problems Related to Fixed Point Theory
Best Proximity Point Theory and Applications
Fixed Point and Approximate Fixed Point Theorems in Fuzzy Metric Spaces
Operator Inclusions in Function Spaces
Evolution Equations in Function Spaces
Stability of Functional Equations Related to Fixed Point Theory
Image/signal analysis
Optimal control problems
Machine learning/artificial intelligence
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