English

Two results in metric fixed point theory

Functional Analysis 2018-03-08 v1 Classical Analysis and ODEs

Abstract

We establish two fixed point theorems for certain mappings of contractive type. The first result is concerned with the case where such mappings take a nonempty, closed subset of a complete metric space XX into XX, and the second with an application of the continuation method to the case where they satisfy the Leray-Schauder boundary condition in Banach spaces.

Keywords

Cite

@article{arxiv.1803.02347,
  title  = {Two results in metric fixed point theory},
  author = {Daniel Reem and Simeon Reich and Alexander J. Zaslavski},
  journal= {arXiv preprint arXiv:1803.02347},
  year   = {2018}
}

Comments

The 2006 version (officially published in JFPTA in 2007)

R2 v1 2026-06-23T00:44:15.984Z