English

Common fixed points of commutative semigroups of nonexpansive mappings

Functional Analysis 2007-05-23 v1

Abstract

In this paper, we discuss characterizations of common fixed points of commutative semigroups of nonexpansive mappings. We next prove convergence theorems to a common fixed point. We finally discuss nonexpansive retractions onto the set of common fixed points. In our discussion, we may not assume the strict convexity of the Banach space.

Keywords

Cite

@article{arxiv.math/0404428,
  title  = {Common fixed points of commutative semigroups of nonexpansive mappings},
  author = {T. Suzuki},
  journal= {arXiv preprint arXiv:math/0404428},
  year   = {2007}
}

Comments

18 pages

R2 v1 2026-07-22T17:04:42.532Z