Affiliation:
1. Department of Mathematics and Computer Science , Technical University of Cluj-Napoca, North University Center at Baia Mare , Victoriei Str. nr. 76, 430221 Baia Mare Romania
Abstract
Abstract
In this paper, we introduce and study the class of enriched strictly pseudocontractive mappings in Hilbert spaces and extend some convergence theorems, i.e., Theorem 12 in [Brow-der, F. E., Petryshyn, W. V., Construction of fixed points of nonlinear mappings in Hilbert space, J. Math. Anal. Appl. 20 (1967), 197–228] and Theorem 3.1 in [Marino, G., Xu, H.-K., Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces, J. Math. Anal. Appl. 329 (2007), no. 1, 336–346], from the class of strictly pseudocontractive mappings to that of enriched strictly pseudocontractive mappings and thus include many other important related results from literature as particular cases.
Reference36 articles.
1. [1] V. Berinde, Approximating fixed points of Lipschitzian generalized pseudo-contractions, in: Mathematics & Mathematics education (Bethlehem, 2000), World Sci. Publ., River Edge, NJ, 2002, 73-81.10.1142/9789812778390_0006
2. [2] V. Berinde, Iterative approximation of fixed points for pseudo-contractive operators, Semin. Fixed Point Theory Cluj-Napoca3 (2002), 209-215.
3. [3] V. Berinde, Iterative approximation of fixed points, Second edition. Lecture Notes in Mathematics. 1912, Springer, 2007.
4. [4] V. Berinde, Approximating fixed points of enriched nonexpansive mappings by Krasnoselskij iteration in Hilbert spaces, Carpathian J. Math.35 (2019), 293-304.10.37193/CJM.2019.03.04
5. [5] V. Berinde, Iterative approximation of fixed points of enriched quasi-nonexpansive mappings and applications, (submitted).
Cited by
14 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献