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Editorial

Editorial Conclusion for the Special Issue “Fixed Point Theory and Computational Analysis with Applications”

1
Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, Taiwan
2
Multidisciplinary Mathematics Institute, Universitat Politècnica de València, Camino de Vera s/n, 46022 València, Spain
3
School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou 404020, China
*
Author to whom correspondence should be addressed.
Lead Guest editor.
Symmetry 2023, 15(6), 1130; https://doi.org/10.3390/sym15061130
Submission received: 4 January 2023 / Accepted: 27 January 2023 / Published: 23 May 2023
Fixed point theory is a fascinating subject that has a wide range of applications in many areas of mathematics. Brouwer’s fixed point theorem and Banach contraction principle are undoubtedly the most important and applicable fixed point theorems. Many authors are dedicated to the generalization of the various directions of well-known fixed point theorems. The rapid development of fixed point theory and its applications has led to many academic papers studying the importance of its promotions and applications in nonlinear analysis, optimization problems, integral and differential equations and inclusions, dynamic system theory, control theory, signal and image processing, economics, game theory, etc.
Plenty of problems caused by the real world can be reduced to solving mathematical models by applying computational analysis. During the previous more than seven decades, computational analysis has made more important contributions to improve our understanding of the real world around us in various fields, such as immunological systems, computational systems, electrical and mechanical structures, financial markets, information and knowledge management, highway transportation networks, telecommunication networks, economics and so on.
The main purpose of this Special Issue is to pay more attention to the recent advances in the new originality of fixed point theory, computational analysis and their applications in integrating basic science into the real world. For more information, please visit the website: https://www.mdpi.com/journal/symmetry/special_issues/Fixed_Point_Computational.
All guest editors have done their best to make this Special Issue perfect. The guest editors were selective to have a comprehensive review process for each submission based on the journal’s policy and guidelines. In this Special Issue, we have received 128 submissions and after a comprehensive review process, 25 high-quality works have been accepted for publication (i.e., the acceptance rate was around 0.195). These accepted papers in this Special Issue can be divided according to the following scheme considering their main purposes:
We hope that interested researchers and practitioners can read these accepted papers in this Special Issue and will find many inspirations for future work in the exciting areas of fixed point theory and computational analysis.
In conclusion, this Special Issue has undoubtedly succeeded in our original intention. Obviously, this Special Issue has shed new light on several important issues and raised new problems. We believe this will inspire future developments in fixed point theory, computational analysis and their applications. Finally, we would like to express our hearty thanks to the editorial team and the reviewers of Symmetry, particularly the Editor-in-Chief Prof. Dr. Sergei D. Odintsov and Assistant Editor Dalia Su, for their great support throughout the editing process of our Special Issue.

Author Contributions

Conceptualization, W.-S.D., A.C., H.H. and J.R.T.; methodology, W.-S.D., A.C., H.H. and J.R.T.; software, W.-S.D.; validation, W.-S.D., A.C., H.H. and J.R.T.; formal analysis, W.-S.D., A.C., H.H. and J.R.T.; investigation, W.-S.D., A.C., H.H. and J.R.T.; writing—original draft preparation, W.-S.D.; writing—review and editing, W.-S.D., A.C., H.H. and J.R.T.; visualization, W.-S.D., A.C., H.H. and J.R.T.; supervision, W.-S.D., A.C., H.H. and J.R.T.; project administration, W.-S.D., A.C., H.H. and J.R.T. All authors have read and agreed to the published version of the manuscript.

Funding

The first author is partially supported by Grant No. NSTC 111-2115-M-017-002 of the National Science and Technology Council of the Republic of China. The second and fourth authors are partially supported by Grant PGC2018-095896-B-C22 funded by MCIN/AEI/10.13039/5011000113033 by “ERDF A way to making Europe”, European Union. The third author acknowledges the financial support from the Natural Science Foundation of Chongqing of China (No. cstc2020jcyj-msxmX0762), and the Initial Funding of Scientific Research for High-level Talents of Chongqing Three Gorges University of China (No. 2104/09926601).

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

Not applicable.

Conflicts of Interest

The authors declare no conflict of interest.

References

  1. Cordero, A.; Guasp, L.; Torregrosa, J.R. Fixed Point Root-Finding Methods of Fourth-Order of Convergence. Symmetry 2019, 11, 769. [Google Scholar] [CrossRef]
  2. Micula, S. On Some Iterative Numerical Methods for Mixed Volterra–Fredholm Integral Equations. Symmetry 2019, 11, 1200. [Google Scholar] [CrossRef]
  3. Popescu, O.; Stan, G. Some Fixed Point Theorems for Quadratic Quasicontractive Mappings. Symmetry 2019, 11, 1329. [Google Scholar] [CrossRef]
  4. Wang, Y.; Pan, C. Viscosity Approximation Methods for a General Variational Inequality System and Fixed Point Problems in Banach Spaces. Symmetry 2020, 12, 36. [Google Scholar] [CrossRef]
  5. Popescu, O.; Stan, G. Two Fixed Point Theorems Concerning F-Contraction in Complete Metric Spaces. Symmetry 2020, 12, 58. [Google Scholar] [CrossRef]
  6. Işık, H.; Banaei, S.; Golkarmanesh, F.; Parvaneh, V.; Park, C.; Khorshidi, M. On New Extensions of Darbo’s Fixed Point Theorem with Applications. Symmetry 2020, 12, 424. [Google Scholar] [CrossRef]
  7. Jia, Z.; Liu, X.; Li, C. Fixed Point Theorems Applied in Uncertain Fractional Differential Equation with Jump. Symmetry 2020, 12, 765. [Google Scholar] [CrossRef]
  8. Kanwal, T.; Hussain, A.; Baghani, H.; de la Sen, M. New Fixed Point Theorems in Orthogonal F-Metric Spaces with Application to Fractional Differential Equation. Symmetry 2020, 12, 832. [Google Scholar] [CrossRef]
  9. Ilea, V.; Otrocol, D. Existence and Uniqueness of the Solution for an Integral Equation with Supremum, via w-Distances. Symmetry 2020, 12, 1554. [Google Scholar] [CrossRef]
  10. Popescu, O.; Stan, G. Some Fixed Point Theorems for (a-p)-Quasicontractions. Symmetry 2020, 12, 1973. [Google Scholar] [CrossRef]
  11. Vujaković, J.; Ljajko, E.; Radojević, S.; Radenović, S. On Some New Jungck–Fisher–Wardowski Type Fixed Point Results. Symmetry 2020, 12, 2048. [Google Scholar] [CrossRef]
  12. Guran, L.; Bota, M.-F. Existence of the Solutions of Nonlinear Fractional Differential Equations Using the Fixed Point Technique in Extended b-Metric Spaces. Symmetry 2021, 13, 158. [Google Scholar] [CrossRef]
  13. Pant, R.; Patel, P.; Shukla, R.; De la Sen, M. Fixed Point Theorems for Nonexpansive Type Mappings in Banach Spaces. Symmetry 2021, 13, 585. [Google Scholar] [CrossRef]
  14. Huang, H.; Singh, Y.M.; Khan, M.S.; Radenović, S. Rational Type Contractions in Extended b-Metric Spaces. Symmetry 2021, 13, 614. [Google Scholar] [CrossRef]
  15. Wang, X. Fixed-Point Iterative Method with Eighth-Order Constructed by Undetermined Parameter Technique for Solving Nonlinear Systems. Symmetry 2021, 13, 863. [Google Scholar] [CrossRef]
  16. Berinde, V.; Ţicală, C. Enhancing Ant-Based Algorithms for Medical Image Edge Detection by Admissible Perturbations of Demicontractive Mappings. Symmetry 2021, 13, 885. [Google Scholar] [CrossRef]
  17. Qi, F.; Kızılateş, C.; Du, W.-S. A Closed Formula for the Horadam Polynomials in Terms of a Tridiagonal Determinant. Symmetry 2019, 11, 782. [Google Scholar] [CrossRef]
  18. Hu, W.; Zheng, W.; Yu, G. A Unified Proximity Algorithm with Adaptive Penalty for Nuclear Norm Minimization. Symmetry 2019, 11, 1277. [Google Scholar] [CrossRef]
  19. Shahzad, A.; Khan, F.; Ghaffar, A.; Mustafa, G.; Nisar, K.S.; Baleanu, D. A Novel Numerical Algorithm to Estimate the Subdivision Depth of Binary Subdivision Schemes. Symmetry 2020, 12, 66. [Google Scholar] [CrossRef]
  20. Wu, G.; Ouyang, J. Use of Precise Area Fraction Model for Fine Grid DEM Simulation of ICFB with Large Particles. Symmetry 2020, 12, 399. [Google Scholar] [CrossRef]
  21. Wang, Y.; Huang, G.; Yang, J.; Lai, H.; Liu, S.; Chen, C.; Xu, W. Change Point Detection with Mean Shift Based on AUC from Symmetric Sliding Windows. Symmetry 2020, 12, 599. [Google Scholar] [CrossRef]
  22. Puangmalai, W.; Puangmalai, J.; Rojsiraphisal, T. Robust Finite-Time Control of Linear System with Non-Differentiable Time-Varying Delay. Symmetry 2020, 12, 680. [Google Scholar] [CrossRef]
  23. Awwal, A.M.; Wang, L.; Kumam, P.; Mohammad, H. A Two-Step Spectral Gradient Projection Method for System of Nonlinear Monotone Equations and Image Deblurring Problems. Symmetry 2020, 12, 874. [Google Scholar] [CrossRef]
  24. Marcheva, P.I.; Ivanov, S.I. Convergence Analysis of a Modified Weierstrass Method for the Simultaneous Determination of Polynomial Zeros. Symmetry 2020, 12, 1408. [Google Scholar] [CrossRef]
  25. Alsarori, N.; Ghadle, K.; Sessa, S.; Saleh, H.; Alabiad, S. New Study of the Existence and Dimension of the Set of Solutions for Nonlocal Impulsive Differential Inclusions with a Sectorial Operator. Symmetry 2021, 13, 491. [Google Scholar] [CrossRef]
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MDPI and ACS Style

Du, W.-S.; Cordero, A.; Huang, H.; Torregrosa, J.R. Editorial Conclusion for the Special Issue “Fixed Point Theory and Computational Analysis with Applications”. Symmetry 2023, 15, 1130. https://doi.org/10.3390/sym15061130

AMA Style

Du W-S, Cordero A, Huang H, Torregrosa JR. Editorial Conclusion for the Special Issue “Fixed Point Theory and Computational Analysis with Applications”. Symmetry. 2023; 15(6):1130. https://doi.org/10.3390/sym15061130

Chicago/Turabian Style

Du, Wei-Shih, Alicia Cordero, Huaping Huang, and Juan R. Torregrosa. 2023. "Editorial Conclusion for the Special Issue “Fixed Point Theory and Computational Analysis with Applications”" Symmetry 15, no. 6: 1130. https://doi.org/10.3390/sym15061130

APA Style

Du, W. -S., Cordero, A., Huang, H., & Torregrosa, J. R. (2023). Editorial Conclusion for the Special Issue “Fixed Point Theory and Computational Analysis with Applications”. Symmetry, 15(6), 1130. https://doi.org/10.3390/sym15061130

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