• Let H be a real Hilbert space. Let K, F : H → H be bounded, continuous and monotone mappings. Let {un }∞ and {vn }∞ be n=1 n=1 sequences in E defined iteratively from arbitrary u1 , v1 ∈ H by un+1 = un − βn (F un − ...

Let E be a q-uniformly smooth real Banach space and D be a nonempty, open and convex subset of E. Assume that T : D → CB(D) is a multi valued continuous (with respect to the Hausdorff metric), bounded and pseudo-contractive ...

It is well know that many physically significant problems in different areas of re- search can be transformed into an equation of the form Au = 0, (0.0.1) where A is a nonlinear monotone operator from a real Banach space ...

Algorithms for single-valued and multi-valued nonexpansive-type mappings have continued to attract a lot of attentions because of their remarkable utility and wide applicability in modern mathematics and other reasearch ...

This thesis is a contribution to Control Theory of some Partial Functional Integrodifferential Equations in Banach spaces. It is made up of two parts: controllability and existence of optimal controls. In the first part, ...

Let H1, H2, and H3 be real Hilbert spaces, T and S be non-linear maps defined on H1 and H2, respectively, and with non-empty fixed point sets, F ix(T) and F ix(S), respectively, A and B be linear maps respectively mapping ...

Monotone operators and accretive operators are essential to modern optimization and xed point theory. Monotone operators were rst discovered by Minty in real Hilbert spaces to aid in the abstract study of electrical ...