A generalization of the Banach contraction principle

Journal of Mathematical Analysis and Applications

Volumn 273, Issue 1, 2002, Pages 112-120

  Merryfield, James ^a   Stein Jr , James D ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b CALIFORNIA STATE UNIVERSITY   (United States)

Author keywords

Banach contraction principle; Fixed point; Ramsey's theorem

Indexed keywords

EID: 0036755631     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(02)00215-9     Document Type: Article

References (6)

1. R. Graham, B. Rothschild, J. Spencer, Ramsey Theory, Wiley-Interscience, 1980.
2. J.R. Jachymski, Caristi's fixed point theorem and selections of set-valued contractions, J. Math. Anal. Appl. 227 (1998) 55-67.
3. J.R. Jachymski, B. Schroder, J.D. Stein Jr., A connection between fixed-point theorems and tiling problems, J. Combin. Theory Ser. A 87 (1999) 273-286.
4. J.R. Jachymski, J.D. Stein Jr., A minimum condition and some related fixed-point theorems, J. Austral. Math. Soc. Ser. A 66 (1999) 224-243.
5. J. Merryfield, B. Rothschild, J.D. Stein Jr., An application of Ramsey's theorem to the Banach contraction principle, Proc. Amer. Math. Soc., accepted.
6. J.D. Stein Jr., A systematic generalization procedure for fixed-point theorems, Rocky Mountain J. Math. 30 (2000) 735-754.