Pure and Applied Mathematics
Browse by
This collection includes carefully selected research work in Pure and Applied Mathematics by AUST PhD students from 2012 to 2022.
All rights reserved
Recent Submissions

Algorithms For Approximation of JFixed Points of Nonexpansive  Type Maps, Zeros of Monotone Maps, Solutions of Feasibility and Variational Inequality Problems
(AUST, 20190705)It is well known that many physically significant problems in different areas of research can be transformed at equilibrium state into an inclusion problem of the form 0 ∈ Au, where A is either a multivalued accretive map ...

Approximation of Zeros of MAccretive Operators; Solutions to Variational Inequality and Generalized Split Feasibility Problems
(AUST, 20190606)In this thesis, the problem of solving the equation of the form Au = 0, (0.0.1) where A is a nonlinear map (either mapping a Banach space, E to itself or mapping E to its dual, E ∗ ), is considered. This problem is desirable ...

Algorithms for approximation of JFixed Points of NonexpensiveType Maps, Zeros of Monotone Maps, Solutions of Feasibility and Variational Inequality Problems.
(AUST, 20190705)It is well known that many physically significant problems in different areas of research can be transformed at an equilibrium state into an inclusion problem of the form 0 ∈ Au, where A is either a multivalued accretive ...

Iterative Algorithms for Split Equality Fixed Point Problems and Some NonLinear Problems in Banach Spaces With Applications
(AUST, 20190606)Let H1, H2, and H3 be real Hilbert spaces, T and S be nonlinear maps defined on H1 and H2, respectively, and with nonempty fixed point sets, F ix(T) and F ix(S), respectively, A and B be linear maps respectively mapping ...

Iterative Algorithms and Existence Theorems for Solutions of Nonlinear Equations in Banach Spaces.
(AUST, 20131105)Let E be a quniformly 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 pseudocontractive ...

Approximation of Solutions of Inclusion Problems with Applications to Hammerstein Equation and Image Restoration
(20200912)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 ...

Algorithms for Approximation of Solutions of Equations Involving Nonlinear MonotoneType and MultiValued Mappings
(20150713)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 ...

Contributions to Iterative Algorithms for Nonlinear Equations in Banach Spaces
(20121213)• 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 − ...

Iterative Algorithms for SingleValued and MultiValued NonexpansiveType Mappings in Real Lebesgue Spaces
(20150715)Algorithms for singlevalued and multivalued nonexpansivetype mappings have continued to attract a lot of attentions because of their remarkable utility and wide applicability in modern mathematics and other reasearch ...

Contributions to the Control Theory of Some Partial Functional Integrodifferential Equations In Banach Spaces
(20160115)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, ...