Continuation fixed point theorems for locally convex linear topological spaces. (English) Zbl 0896.47045

O’Regan, D.

Math. Comput. Modelling 24, No. 4, 57-70 (1996).

The author presents some continuation principles for concentrative operators between locally convex linear topological spaces and applies these general results to a second-order boundary value problem on a semi-infinite interval. The author’s results are in connection with some results by M. Furi and P. Pera [Ann. Pol. Math. 47, 331-346 (1987; Zbl 0656.47052)], R. Precup [Prepr., Babes-Bolyai Univ., Fac. Math. Phys., Res. Semin. 1988, No. 8, 17-30 (1988; Zbl 0704.34022)] and W. Krawcewicz [“Contribution à la théorie des équations nonlinéaires dans les espaces de Banach”, Diss. Math. 273 (1988; Zbl 0677.47038)].

Reviewer: I.A.Rus (Cluj-Napoca)

MSC:

47H10	Fixed-point theorems
34B15	Nonlinear boundary value problems for ordinary differential equations

Keywords:

continuation principles; concentrative operators between locally convex linear topological spaces; second-order boundary value problem on a semi-infinite interval

Citations:

Zbl 0656.47052; Zbl 0704.34022; Zbl 0677.47038

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