The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
We establish new existence results for nontrivial solutions of some integral inclusions of Hammerstein type, that are perturbed with an affine functional. In order to use a theory of fixed point index for multivalued mappings, we work in a cone of continuous functions that are positive on a suitable subinterval of . We also discuss the optimality of some constants that occur in our theory. We improve, complement and extend previous results in the literature.
Let H be a real Hilbert space and T be a maximal monotone
operator on H.
A well-known algorithm, developed by R. T. Rockafellar [16], for solving
the problem
(P) ”To find x ∈ H such that 0 ∈ T x”
is the proximal point algorithm.
Several generalizations have been considered by several authors: introduction
of a perturbation, introduction of a variable metric in the perturbed
algorithm, introduction of a pseudo-metric in place of the classical regularization,
. . .
We summarize some of these extensions...
The paper is devoted to properties of generalized set-valued stochastic integrals defined in [10]. These integrals generalize set-valued stochastic integrals defined by E.J. Jung and J.H. Kim in the paper [4]. Up to now we were not able to construct any example of set-valued stochastic processes, different on a singleton, having integrably bounded set-valued integrals defined in [4]. It was shown by M. Michta (see [11]) that in the general case set-valued stochastic integrals defined by E.J. Jung...
Currently displaying 1 –
9 of
9