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Continuous dependence of fixed points of condensing maps. (English) Zbl 0279.47018


MSC:

47H10 Fixed-point theorems
47J05 Equations involving nonlinear operators (general)
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References:

[1] Cain, G. L.; Nashed, M. Z., Fixed points and stability for a sum of two operators in locally convex spaces, Pacific J. Math., 39, 581-592 (1971) · Zbl 0229.47044
[2] Darbo, G., Punti uniti in transformazioni a condiminio non compatto, (Rend. Sem. Mat. Univ. Padova, 24 (1955)), 84-92 · Zbl 0064.35704
[3] Hale, J. K.; Cruz, M. A., Existence, uniqueness and continuous dependence for hereditary systems, Ann. Mat. Pura Appl., 85, 63-82 (1970) · Zbl 0194.41002
[4] Kasriel, R. H.; Nashed, M. Z., Stability of solutions of some classes of nonlinear operator equations, (Proc. Amer. Math. Soc., 17 (1966)), 1036-1042 · Zbl 0149.10801
[5] Kuratowski, C., Sur les espaces complètes, Fund. Math., 15, 301-309 (1930) · JFM 56.1124.04
[6] Lopes, O., Periodic solutions of perturbed neutral differential equations, J. Differential Equations, 15, 70-76 (1974) · Zbl 0251.34050
[7] Martelli, M., A lemma on maps of a compact topological space and an application to fixed point theory, Acad. Naz. Lincei, 49, 242-243 (1970) · Zbl 0214.21601
[8] Melvin, W. R., Some extensions of the Krasnoselskii fixed point theorems, J. Differential Equations, 11, 335-348 (1972) · Zbl 0229.47046
[9] Sadovskii, B. N., On a fixed point theorem, Funktional Anal. i Priložen, 1, 74-76 (1967) · Zbl 0165.49102
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