2019/09/05 by Vasile Berinde, Berinde, Vasile
Computer Science · Mathematics · #47H09 #47H10 #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Numerical methods in inverse problems #Optimization and Variational Analysis #math.FA #msc:47H09 #msc:47H10
paper · pdf · doi:10.48550/arxiv.1909.03492
arXiv admin note: text overlap with arXiv:1909.02378
arxiv created 2019/09/05 · openalex publication_date 2019/09/05 · arxiv updated 2019/09/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we introduce and study the class of \it enriched strictly pseudocontractive mappings in Hilbert spaces and extend the corresponding convergence theorem (Theorem 12) in [Browder, F. E., Petryshyn, W. V., \it Construction of fixed points of nonlinear mappings in Hilbert space, J. Math. Anal. Appl. \bf 20 (1967), 197--228] and Theorem 3.1 in [Marino, G., Xu, H.-K., \it Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces, J. Math. Anal. Appl. \bf 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.