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Fixed Point Theory and Applications· 2012Q3

Fixed points of a new type of contractive mappings in complete metric spaces

Dariusz Wardowski

Short summary

Researchers introduce a novel definition of contraction mappings and prove a fixed point theorem that generalizes the Banach contraction principle in a new way.

AI-generated from the title and abstract; the full text is not read.

Key points

  • Introduced a new definition of contraction mappings.
  • Proved a new fixed point theorem generalizing the Banach contraction principle.
  • Provided a numerical example to validate the theorem's effectiveness.

AI-generated from the title and abstract; the full text is not read.

Abstract

In the article, we introduce a new concept of contraction and prove a fixed point theorem which generalizes Banach contraction principle in a different way than in the known results from the literature. The article includes an example which shows the validity of our results, additionally there is delivered numerical data which illustrates the provided example. MSC: 47H10; 54E50

The authors' abstract, as published at the source. Fixed Point Theory and Applications, 2012 · DOI ↗

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Field: Geometry and Topology

Geometry and TopologyMathematics