On some measures of noncompactness in the space of continuous functions

Nonlinear Analysis, Theory, Methods and Applications

Volumn 68, Issue 2, 2008, Pages 377-383

  Banaś, Józef ^a   Sadarangani, Kishin ^b  

^a RZESZOW UNIVERSITY OF TECHNOLOGY   (Poland)

^b UNIVERSITY OF LAS PALMAS DE GRAN CANARIA   (Spain)

Author keywords

Measure of noncompactness; Modulus of decrease; Modulus of increase; Monotone function

Indexed keywords

NONLINEAR ANALYSIS; NUMERICAL METHODS;

MEASURE OF NONCOMPACTNESS; MODULUS OF DECREASE; MODULUS OF INCREASE; MONOTONE FUNCTION;

FUNCTION EVALUATION;

EID: 35548975280     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2006.11.003     Document Type: Article

References (12)

1. Akmerov R.R., Kamenski M.I., Potapov A.S., Rodkina A.E., and Sadovskii B.N. Measures of Noncompactness and Condensing Operators (1992), Birkhäuser Verlag, Basel
2. Appell J., and Zabrejko P.P. Nonlinear Superposition Operators. Cambridge Tracts in Mathematics vol. 95 (1990), Cambridge University Press
3. Ayerbe Toledano J.M., Dominguez Benavides T., and Lopez Acedo G. Measures of Noncompactness in Metric Fixed Point Theory (1997), Birkhäuser Verlag, Basel
4. Banaś J., and Goebel K. Measures of Noncompactness in Banach Spaces. Lecture Notes in Pure and Applied Mathematics vol. 60 (1980), Dekker, New York
5. Banaś J., and Olszowy L. Measures of noncompactness related to monotonicity. Comment. Math. 41 (2001) 13-23
6. Banaś J., Rodriguez J.R., and Sadarangani K. On a nonlinear quadratic integral equation of Urysohn-Stieltjes type and its applications. Nonlinear Anal. 47 (2001) 1175-1186
7. Danes ̌ J. On densifying and related mappings and their application in nonlinear functional analysis. Theory of Nonlinear Operators (1974), Akademie-Verlag, Berlin 15-56
8. Darbo G. Punti uniti in transformazioni a condominio non compatto. Rend. Sem. Mat. Univ. Padova 24 (1955) 84-92
9. Goldens ̌tein L.S., and Markus A.S. On a measure of noncompactness of bounded sets and linear operators. Studies in Algebra and Mathematical Analysis (1965), Kishiniev 45-54
10. Kuratowski K. Sur les espaces complets. Fund. Math. 15 (1930) 301-309
11. Sadovskii B.N. Asymptotically compact and condensing operators. Uspekhi Mat. Nauk 27 (1972) 81-146
12. Wiśnicki A. Hausdorff measure of noncompactness in subspaces of continuous functions of codimension one. Nonlinear Anal. TMA 25 (1995) 223-228