we prove that the limit of a sequence of pettis integrable bounded scalarly measurable weak random elements, of finite weak norm, with values in the dual of a non-separable banach space is pettis integrable. then we provide basic properties for the pettis conditional expectation, and prove that it is continuous. calculus of pettis conditional expectations in general is very different from the c...

some algorithms for nding common xed point of a family of mappings isconstructed. indeed, let c be a nonempty closed convex subset of a uniformlyconvex banach space x whose norm is gateaux dierentiable and let {tn} bea family of self-mappings on c such that the set of all common fixed pointsof {tn} is nonempty. we construct a sequence {xn} generated by the hybridmethod and also we give the ...

We consider the metric transformation of measure spaces/pyramids. clarify conditions to obtain convergence sequence transformed spaces from that original sequence, and, conversely, respectively. As an application, we prove spheres and projective with standard Riemannian distance converge a Gaussian space Hopf quotient space, respectively, as dimension diverges infinity.

| A general analysis strategy is expressed in terms of state space search. The advantages of optimal tree search and true maintenance systems in the context of dynamic analysis are discussed. A consecutive tree search algorithm is proposed for the control mechanism in image sequence analysis. It combines the focusing strength of tree search with locally parallel tracking of competitive interpre...