An application of Ramsey's Theorem to the Banach Contraction Principle

By B. Rothschild, J. Stein. 2001

57 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/539ca7ad0da3f0bbba406f5c613dd92dfd7757ae

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Wutiphol Sintunavarat
2. Poom Kumam
3. Nikhilesh Metiya
4. Binayak S. Choudhury
5. Krishnapada Das
6. Jong Kyu Kim

In Geometry and Topology

1. Wutiphol Sintunavarat
2. Poom Kumam
3. Nikhilesh Metiya
4. Binayak S. Choudhury
5. Krishnapada Das
6. E. Karapınar
7. Jong Kyu Kim

Citations in the corpus

• Fixed points of weak contractions in cone metric spaces (2010, background): “The works noted in [1–5] are some examples from this line of research.”
• A new contraction principle in menger spaces (2008, methodology): “To cite a few examples, in [1] a new contraction principle was addressed by Khan et al., where they used a control function on the metric function; in [2] and [ 3 ] generalized Banach contraction conjecture has been established independently and in [4] Kirk investigated asymptotic contraction in met”
• Coupled best proximity point theorem in metric Spaces (2012, background): “This principle has been generalized in many ways over the years [2-15].”