Dynamic processes and fixed points of set-valued nonlinear contractions in cone metric spaces

Nonlinear Analysis, Theory, Methods and Applications

Volumn 71, Issue 11, 2009, Pages 5170-5175

  Klim, D ^a   Wardowski, D ^a  

^a UNIVERSITY OF LODZ   (Poland)

Author keywords

Cone metric space; Dynamic process; Fixed point; Set valued nonlinear contraction

Indexed keywords

COMPLETE METRIC SPACE; DYNAMIC PROCESS; EXISTENCE AND UNIQUENESS; FIXED POINT; FIXED POINT THEOREMS; FIXED POINTS; METRIC SPACES; SET-VALUED CONTRACTION; SET-VALUED NONLINEAR CONTRACTION;

SET THEORY; SHRINKAGE; TOPOLOGY;

METRIC SYSTEM;

EID: 68349089239     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2009.04.001     Document Type: Article

References (7)

1. Banach S. Sur les opérations dans les ensembles abstraits et leur applications aux équations intégrales. Fund. Math. 3 (1922) 133-181
2. Klim D., and Wardowski D. Fixed point theorems for set-valued contractions in complete metric spaces. J. Math. Anal. Appl. 334 1 (2007) 132-139
3. Huang L.-G., and Zhang X. Cone metric spaces and fixed point theorems of contractive maps. J. Math. Anal. Appl. 332 (2007) 1467-1475
4. Deimling K. Nonlinear Functional Analysis (1985), Springer-Verlag
5. Aubin J.P., and Siegel J. Fixed points and stationary points of dissipative multivalued maps. Proc. Amer. Math. Soc. 78 (1980) 391-398
6. Aubin J.P., and Ekeland I. Applied Nonlinear Analysis (1984), John Wiley and Sons, Inc.
7. Berge C. Topological Spaces (1963), Oliver and Boyd