Some remarks on the generalized Banach contraction principle

• Authors: Krzysztof Wesołowski
• Languages of publication: PL

Abstracts

PL

This paper presents some results concerning the Generalized Banach Contraction Principle: In a complete metric space X if for some N ≥ 1 and 0 < M < 1 the mapping T : X → X satisfies min{d(Tj x,Tj y), 1 ≤ j ≤ N} ≤ Md(x, y) for any x, y ∈ X , then T has a unique fixed point. In some special cases, the above constant M can be replaced by a continuous, non- -increasing function 0 ≤ φ (d(x, y)) ≤ 1 such that φ (t) =1 if, and only if, t = 0.

Keywords

PL

generalized Banach contraction principle, gbcp, fixed point, metric fixed point theory, syndetic set

• Publisher: [unknown2]
• Journal: Czasopismo Techniczne
• Year: -

Dates

online

2016-02-17

Contributors

author

Krzysztof Wesołowski