We establish the existence of a stochastic integral in a nuclear space setting as follows. Let E, F, and G be nuclear spaces which satisfy the following conditions: the spaces are reflexive, complete, bornological spaces such that their strong duals also satisfy these conditions. Assume that there is a continuous bilinear mapping of E × F into G. If H is an integrable, E-valued predictable proc...

we introduce a new concept of general $g$-$eta$-monotone operator generalizing the general $(h,eta)$-monotone operator cite{arvar2, arvar1}, general $h-$ monotone operator cite{xiahuang} in banach spaces, and also generalizing $g$-$eta$-monotone operator cite{zhang}, $(a, eta)$-monotone operator cite{verma2}, $a$-monotone operator cite{verma0}, $(h, eta)$-monotone operator cite{fanghuang}, $h$-...

The implications of the empirical signatures for the positivity of the strangeness magnetic moment μs and the negativity of the the strangeness contribution to the proton spin ∆s on the possible uudss̄ configurations of five quarks in the proton are analyzed. The empirical signs for the values for these two observables can only be obtained in configurations where the uuds subsystem is orbitally ...

In this paper we prove some new fixed point theorems for multivalued mappings on orbitally complete uniform spaces.

It is known, that under some natural conditions, the iterates of any continuous mean-type mapping converge to a continuous invariant mean-type mapping, and, moreover, the invariant continuous mean-type mapping is unique. In this paper we show that the assumption of the continuity in the ”moreover” part of this result is superfluous. We also show that every increasing and homogeneous mean is con...

Let H be a real Hilbert space, and let C be a nonempty closed convex subset of H. Let α > 0, and let A be an α-inverse strongly-monotone mapping of C into H. Let T be a generalized hybrid mapping of C into H. Let B andW be maximal monotone operators on H such that the domains of B andW are included in C. Let 0 < k < 1, and let g be a k-contraction of H into itself. Let V be a γ -strongly monoto...

Background Orbitally shaken flasks are commonly used at an early stage of bioprocess development with mammalian cells. In contrast to large-scale stirred-tank bioreactors, shaken flasks are usually operated in probe-independent bioprocesses, i.e. without strictly controlling the pH or dissolved oxygen concentration (DO). As a consequence, gas transfer issues are thought to limit the effectivene...

Improving the ability to react to perturbations during daily activities like walking is a key to effective fall prevention training. Quantifying how walking stability changes in response to destabilizing events is critical for assessing how effective gait training interventions are. When small perturbations of increasing amplitude were applied to a dynamic model of walking, the model did not be...