|
[1]
|
Mann, W.R. (1953) Mean Value Methods in Iteration. Proceedings of the American Mathe- matical Society, 4, 993-993.
https://doi.org/10.2307/2031845
|
|
[2]
|
Reich, S. (1979) Weak Convergence Theorems for Nonexpansive Mappings in Banach Spaces. Journal of Mathematical Analysis and Applications, 67, 274-276.
https://doi.org/10.1016/0022-247X(79)90024-6
|
|
[3]
|
Halpern, B. (1967) Fixed Points of Nonexpanding Maps. Bulletin of the American Mathemat- ical Society, 73, 957-961.
https://doi.org/10.1090/S0002-9904-1967-11864-0
|
|
[4]
|
Wittmann, R. (1992) Approximation of Fixed Points of Nonexpansive Mappings. Archiv der Mathematik, 58, 486-491.
https://doi.org/10.1007/BF01190119
|
|
[5]
|
Polyak, B.T. (1964) Some Methods of Speeding up the Convergence of Iteration Methods. USSR Computational Mathematics and Mathematical Physics, 4, 1-17.
https://doi.org/10.1016/0041-5553(64)90137-5
|
|
[6]
|
Tan, B., Zhou, Z. and Qin, X. (2020) Accelerated Projection-Based Forward-Backward Split- ting Algorithms for Monotone Inclusion Problems. Journal of Applied Analysis and Computa- tion, 10, 2184-2197.
https://doi.org/10.11948/20190363
|
|
[7]
|
Tan, B., Xu, S. and Li, S. (2020) Modified Inertial Hybrid and Shrinking Projection Algorithms for Solving Fixed Point Problems. Mathematics, 8, Article 236.
https://doi.org/10.3390/math8020236
|
|
[8]
|
Maing´e, P.E. (2008) Convergence Theorems for Inertial KM-Type Algorithms. Journal of Computational and Applied Mathematics, 219, 223-236.
https://doi.org/10.1016/j.cam.2007.07.021
|
|
[9]
|
Combettes, P.L. and Glaudin, L.E. (2017) Quasi-Nonexpansive Iterations on the Affine Hull of Orbits: From Mann’s Mean Value Algorithm to Inertial Methods. SIAM Journal on Opti- mization, 27, 2356-2380.
https://doi.org/10.1137/17M112806X
|
|
[10]
|
Shehu, Y. and Gibali, A. (2020) Inertial Krasnoselskii-Mann Method in Banach Spaces. Math- ematics, 8, Article 638.
https://doi.org/10.3390/math8040638
|
|
[11]
|
Artsawang, N. and Ungchittrakool, K. (2020) Inertial Mann-Type Algorithm for a Nonexpan- sive Mapping to Solve Monotone Inclusion and Image Restoration Problems. Symmetry, 12, Article 750.
https://doi.org/10.3390/sym12050750
|
|
[12]
|
Tan, B., Zhou, Z. and Li, S. (2020) Strong Convergence of Modified Inertial Mann Algorithms for Nonexpansive Mappings. Mathematics, 8, Article 462.
https://doi.org/10.3390/math8040462
|
|
[13]
|
Bauschke, H.H. and Combettes, P.L. (2011) Convex Analysis and Monotone Operator Theory in Hilbert Spaces. Springer, New York.
https://doi.org/10.1007/978-1-4419-9467-7_1
|
|
[14]
|
Kanzow, C. and Shehu, Y. (2017) Generalized Krasnoselskii-Mann-Type Iterations for Non- expansive Mappings in Hilbert Spaces. Computational Optimization and Applications, 67, 595-620.
https://doi.org/10.1007/s10589-017-9902-0
|
|
[15]
|
He, S. and Yang, C. (2013) Solving the Variational Inequality Problem Defined on Intersection of Finite Level Sets. Abstract and Applied Analysis, 2013, Article ID: 942315.
https://doi.org/10.1155/2013/942315
|
|
[16]
|
Mordukhovich, B.S. and Nam, N.M. (2013) An Easy Path to Convex Analysis and Appli- cations. In: Krantz, St.G., Ed., Synthesis Lectures on Mathematics and Statistics, Springer, Cham, 1-218.
https://doi.org/10.1007/978-3-031-02406-1
|
|
[17]
|
Weiszfeld, E. (1937) Sur le point pour lequel la somme des distances de n points donn s est minimum. Tohoku Mathematical Journal, First Series, 43, 355-386.
|
|
[18]
|
Beck, A. and Sabach, S. (2015) Weiszfeld’s Method: Old and New Results. Journal of Opti- mization Theory and Applications, 164, 1-40.
https://doi.org/10.1007/s10957-014-0586-7
|