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Single-Step Algorithm for Variational Inequality Problems in Banach Spaces
(AUST, 2021-07-10)
In this work, we propose a one-step algorithm for solving variational inequality problems in a 2-uniformly con vex Banach space. Weak convergence of the scheme to a solution of variational inequality is established under ...
Bochner Integration in Banach spaces and integration in R k and `1
(AUST, 2021-05-10)
A Strong Convergence for the sum of three Monotone Operators in a Real Banach Space
(AUST, 2021-07-09)
Let E be a real 2-uniformly convex Banach space with topological dual E∗. We established strong convergence for the class of variational inclusion for the sum of three monotone operators. More over, we give a variant of ...
Modified Forward-Backward Splitting Method Without Cocoercivity for the sum of two Monotone Operators in Banach Spaces
(AUST, 2021-07-10)
In this thesis, we present an algorithm for solving a variation inclusion problem of sum of two monotone operators in real Banach spaces which uses variable step sizes that are updated over each iteration by some cheap ...
Co−Semigroups of Contradiction on Banach Spaces and Applications
(AUST, 2023-03-17)
Let X be a Banach space and A : D(A) ⊂ X −→ X be an unbounded linear operator on X. We study the concept of C0−semigroup of contraction on arbitrary Banach space X and give the two characterizations of A called infinitesimal ...