Fixed-point theorem for asymptotic contractions of Meir-Keeler type in complete metric spaces

Nonlinear Analysis, Theory, Methods and Applications

Volumn 64, Issue 5, 2006, Pages 971-978

  Suzuki, Tomonari ^a  

^a KYUSHU INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

Asymptotic contraction; Complete metric space; Fixed point; L function; Meir Keeler contraction

Indexed keywords

FUNCTIONS; NONLINEAR SYSTEMS;

ASYMPTOTIC CONTRACTION; COMPLETE METRIC SPACE; FIXED POINT; L-FUNCTION; MEIR-KEELER CONTRACTION;

THEOREM PROVING;

EID: 30144439704     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.04.054     Document Type: Article

References (9)

1. I.D. Arandelović On a fixed point theorem of Kirk J. Math. Anal. Appl. 301 2005 384 385
2. S. Banach Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales Fund. Math. 3 1922 133 181
3. D.W. Boyd, and J.S.W. Wong On nonlinear contractions Proc. Amer. Math. Soc. 20 1969 458 464
4. J.R. Jachymski, and I. Jóźwik On Kirk's asymptotic contractions J. Math. Anal. Appl. 300 2004 147 159
5. W.A. Kirk Fixed points of asymptotic contractions J. Math. Anal. Appl. 277 2003 645 650
6. T.C. Lim On characterizations of Meir-Keeler contractive maps Nonlinear Anal. 46 2001 113 120
7. A. Meir, and E. Keeler A theorem on contraction mappings J. Math. Anal. Appl. 28 1969 326 329
8. T. Suzuki Several fixed point theorems in complete metric spaces Yokohama Math. J. 44 1997 61 72
9. T. Suzuki Several fixed point theorems concerning τ -distance Fixed Point Theory Appl. 2004 2004 195 209