Fixed points of enriched contraction mappings in 2-normed spaces

2022/09/26 by Rizwan Anjum, Anjum, Rizwan, Mujahid Abbas +1
Computer Science · Mathematics · #46B20. 47H09. 47H10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Fixed Point Theorems Analysis #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.2209.12503

openalex publication_date 2022/09/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Very recently, Berinde and Păcurar obtained in [V. Berinde and M. Păcurar, Approximating fixed points of enriched contractions in Banach spaces. Journal of Fixed Point Theory and Applications. 22(2) (2020), 1--10.] an interesting generalization of the Banach contractive mapping principle in the framework of Banach spaces. The aim of this paper is to prove some fixed point theorems which extend the results of Berinde and Păcurar to the case of 2-normed spaces.

Related

• On some enriched contractions in Banach spaces
• Existence and approximation of fixed points of enriched contractions in quasi-Banach spaces
• Approximating fixed points of enriched contractions in Banach spaces
• A generalized Suzuki Berinde contraction that characterizes Banach spaces
• Fixed points theorems for unsaturated and saturated classes of contractive mappings in Banach spaces