Special Issue "Recent Advances in Fixed Point and Best Proximity Point Problems and Their Applications"
Deadline for manuscript submissions: closed (31 December 2019).
Interests: mathematical analysis; functional analysis; fixed point theory
Interests: multivariate analysis; harmonic analysis; functional analysis; nonlinear analysis; fixed point theory; mathematics education
The main goal of this Special Issue is to gather the recent results and discussion around reseach in nonlinear (functional) analysis, with a particular interest in the improvements to the theoretical side of fixed point theory that may play a crucial role in the solution of real-world problems.
The fixed point $f(x) = x$ equation is equivalent to F(x) = 0 where F(x) = x − f(x). Thus, the concrete solution of such equations takes "fixed point theory" into account. In cases where it is not possible to solve such a problem, any approximative solution is also worth considering and can be identified through the best proximity point theory. Roughly speaking, best proximity means the minimal value of d(x,f(x)) if f(x) is not equal to x.
These approaches help us to overcome the difficulties arising in the study and computational simulation of nonlinear analysis. For the solution of the problems and/or to identify better solutions, researcher refine the existing axioms and requirements. In this Special Issue, we aim to explore the trends in the solutions of real-world problem, in particular by using the fixed/best-proximity point theory.
Topics for this mini symposium include, but are not limited to:
- Fixed point of continuous and discontinuous mapping;
- Existence and uniqueness of the solution of the equation F(x) = 0 = x − f(x);
- Characterization of completeness for abstract spaces;
- Iterative methods for the nonexpansive-type mappings;
- Examination of different types of contractions.
Prof. Chi-Ming Chen
Prof. Ing-Jer Lin
Manuscript Submission Information
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- Fixed point of single and multivalued mappings
- Best proximity point of single and multivalued mappings
- Distinct contractions
- Applications of fixed point results