Fixed point theorems for weakly sequentially closed maps
Archivum Mathematicum (2000)
- Volume: 036, Issue: 1, page 61-70
- ISSN: 0044-8753
Access Full Article
topAbstract
topHow to cite
topReferences
top- Aliprantis C. D., Border K. C., Infinite dimensional analysis, Springer-Verlag Berlin, 1985. (1985)
- Arino O., Gautier S., Penot J. P., A fixed point theorem for sequentially continuous mappings with applications to ordinary differential equations, Funkc. Ekvac. 27 (1984), 273–279. (1984) MR0794756
- Chow S. N., Schuur J. D., An existence theorem for ordinary differential equations in Banach spaces, Bull. Amer. Math. Soc. 77 (1971), 1018–1020. (1971) Zbl0264.34072MR0287127
- Chow S. N., Schuur J. D., Fundamental theory of contingent differential equations in Banach spaces, Trans. Amer. Math. Soc. 179 (1973), 133–144. (1973) MR0324162
- Cichoń M., Weak solutions of differential equations in Banach spaces, Discuss. Mathematicae–Differential Inclusions, 15 (1995), 5–14. (1995) MR1344523
- Edwards R. E., Functional analysis, theory and applications, Holt, Rinehart and Winston, New York, 1965. (1965) Zbl0182.16101MR0221256
- Geitz R. F., Pettis integration, Proc. Amer. Math. Soc. 82 (1981), 81–86. (1981) Zbl0506.28007MR0603606
- Himmelberg C. J., Fixed points of compact multifunctions, Jour. Math. Anal. Appl. 38 (1972), 205–207. (1972) Zbl0225.54049MR0303368
- Köthe G., Topological vector spaces I, Springer-Verlag Berlin, 1965. (1965) MR0551623
- Mitchell A. R., Smith C. K. L., An existence theorem for weak solutions of differential equations in Banach spaces, In: Nonlinear Equations in Abstract Spaces (edited by V. Lakshmikantham), Academic Press (1978), 387–404. (1978) Zbl0452.34054MR0502554
- O’Regan D., Integral equations in reflexive Banach spaces and weak topologies, Proc. Amer. Math. Soc. 124 (1996), 607–614. (1996) MR1301043
- O’Regan D., Fixed point theory for weakly sequentially continuous mappings, Mathematical and Computer Modelling 27(5) (1998), 1–14. (1998) Zbl1185.34026MR1616796
- O’Regan D., Weak solutions of ordinary differential equations in Banach spaces, Applied Math. Letters 12(1) (1999), 101–105. (1999) Zbl0933.34068MR1663477
- O’Regan D., Fixed point theory for weakly contractive maps with applications to operator inclusions in Banach spaces relative to the weak topology, Zeitschrift für Analysis und ihre Anwendungen 17 (1998), 282–296. (1998) Zbl0911.47057MR1632523
- O’Regan D., Nonlinear operator approximation theory, Numerical Functional Analysis and Optimization 19(5/6) (1998), 587–592. (19(5) MR1636474
- Smith C. K. L., Measure of nonconvergence and noncompactness, Ph.D thesis, University of Texas at Arlington, 1978. (1978) MR2628255
- Szep A., Existence theorems for weak solutions of ordinary differential equations in reflexive Banach spaces, Studia Sci. Math. Hungar. 6 (1971), 197–203. (1971) MR0330688