On Fejér monotone sequences and nonexpansive mappings
arXiv:1507.055851.216 citations
Originality Synthesis-oriented
AI Analysis
Provides theoretical advancements in fixed point theory and optimization for mathematicians working on convergence analysis.
The paper presents new sufficient conditions for convergence of Fejér monotone sequences and applies them to the study of nonexpansive mappings, with illustrative examples.
The notion of Fejér monotonicity has proven to be a fruitful concept in fixed point theory and optimization. In this paper, we present new conditions sufficient for convergence of Fejér monotone sequences and we also provide applications to the study of nonexpansive mappings. Various examples illustrate our results.