Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
MA. Krasnosel’skij : ‘Two remarks on the method of successive approximations’(Russian). Uspehi Mat. Nauk 10, 1 (1955), 123–127
G. Darbo: ‘Punti uniti in trasformazioni a codominio non compatto’. Rend. Sem. Mat. Univ. Padova 24 (1955), 84–92
C. Kuratowski: ‘Sur les espaces complets’. Fund. Math. 15 (1930), 301–309
RD. Nussbaum : ‘The fixed point index and fixed point theorems for k-set-contractions’. Ph. D. Thesis, Univ. Chicago (1969)
BN. Sadovkij : ‘Limit-compact and condensing operators’ (Russian). Uspehi Mat. Nauk 27, 1 (1972), 81–146
R.R. Ahmerov, M.I. Kamenskij, A.S. Potapov, B. N. Sadovskij: ‘Condensing operators’ (Russian). Itogi Nauki Tehniki 18 (1980), 185–250
CA. Stuart, JF. Toland: ‘The fixed-point index of a linear k-set-contraction’. J. London Math. Soc. 6 (1973), 317–320
C.A. Stuart: ‘Some bifurcation theory for k-set-contractions’. Proc. London Math. Soc. 27 (1973), 531–550
R.R. Ahmerov, M.I. Kamenskij, A.S. Potapov, A.Je. Rod- kina, B. N. Sadovskij: ‘On the theory of equations of neutral type’ (Russian). Itogi Nauki Tehniki 19 (1982), 55–126
J. Appell: ‘Implicit functions, nonlinear integral equations, and the measure of noncompactness of the superposition operator’. J. Math. Anal. Appl. 83, 1 (1981), 251–263
I.Ts. Gohberg, N.Ja. Krupnik: Introduction to the theory of one-dimensional singular integral operators (Russian). Stiinka, Kishinjov 1973
A.I. Gusejnov, H.Sh. Muhtarov: Introduction to the theory of nonlinear singular integral equations (Russian). Nauka, Moskva 1980
V.A. Bondarenko, P.P. Zabrejko: ‘The superposition operator in Holder function spaces’ (Russian). Dokl. Akad. Nauk SSSR 222, 6 (1975), 1265–1268.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1986 D. Reidel Publishing Company
About this chapter
Cite this chapter
Appell, J. (1986). G. Darbo’s Fixed Point Principle After 30 Years. In: Singh, S.P. (eds) Nonlinear Functional Analysis and Its Applications. NATO ASI Series, vol 173. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4632-3_8
Download citation
DOI: https://doi.org/10.1007/978-94-009-4632-3_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8559-5
Online ISBN: 978-94-009-4632-3
eBook Packages: Springer Book Archive