English

A generalization of \'Ciri\'c fixed point theorem

General Topology 2014-03-19 v3

Abstract

In this paper, we state and prove a generalization of \'Ciri\'c fixed point theorems in metric space by using a new generalized quasi-contractive map. These theorems extend other well known fundamental metrical fixed point theorems in the literature. Moreover, a multi-valued version for generalized quasi-contraction is also established.

Keywords

Cite

@article{arxiv.1309.5589,
  title  = {A generalization of \'Ciri\'c fixed point theorem},
  author = {Nguyen Van Dung and Poom Kumam and Kanokwan Sitthithakerngkiet},
  journal= {arXiv preprint arXiv:1309.5589},
  year   = {2014}
}
R2 v1 2026-06-22T01:31:44.069Z