Page 1 Next

Displaying 1 – 20 of 40

Showing per page

Finding linking sets.

Schechter, Martin, Tintarev, Kyril (2006)

International Journal of Mathematics and Mathematical Sciences

Fixed point free maps of a closed ball with small measures of noncompactness.

Martin Väth (2001)

Collectanea Mathematica

We show that in all infinite-dimensional normed spaces it is possible to construct a fixed point free continuous map of the unit ball whose measure of noncompactness is bounded by 2. Moreover, for a large class of spaces (containing separable spaces, Hilbert spaces and l-infinity (S)) even the best possible bound 1 is attained for certain measures of noncompactness.

Fixed point theorems for nonexpansive operators with dissipative perturbations in cones

Shih-sen Chang, Yu-Qing Chen, Yeol Je Cho, Byung-Soo Lee (1998)

Commentationes Mathematicae Universitatis Carolinae

Let P be a cone in a Hilbert space H , A : P 2 P be an accretive mapping (equivalently, - A be a dissipative mapping) and T : P P be a nonexpansive mapping. In this paper, some fixed point theorems for mappings of the type - A + T are established. As an application, we utilize the results presented in this paper to study the existence problem of solutions for some kind of nonlinear integral equations in L 2 ( Ω ) .

Fixed point theorems for weakly sequentially closed maps

Donal O'Regan (2000)

Archivum Mathematicum

A number of fixed point theorems are presented for weakly contractive maps which have weakly sequentially closed graph. Our results automatically lead to new existence theorems for differential inclusions in Banach spaces relative to the weak topology.

Currently displaying 1 – 20 of 40

Page 1 Next