Some Applications of the Weak Contraction Principle

Authors

Sehie Park The National Academy of Sciences, Republic of Korea, Seoul 06579; Department of Mathematical Sciences, Seoul National University, Seoul 08826, Korea Corresponding Author

Keywords:

fixed point, quasi-metric, Rus-Hicks-Rhoades (RHR) map, T-orbitally complete

Abstract

Recently we obtained several extensions of the Banach contraction principle. One of them is the weak contraction principle or the Rus-Hicks-Rhoades contraction principle or Theorem P. There are a large number of examples or applications of Theorem P in the literature. Recently, Romaguera stated two corollaries of Theorem P are false. Our main aim of this paper is to clarify his claim

References

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