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A Modified Subgradient Extragradeint Method for Variational Inequality Problems and Fixed Point Problems in Real Banach Spaces
Let E be a 2-uniformly convex and uniformly smooth real Banach space with dual space E ∗ . Let A : C → E ∗ be a monotone and Lipschitz continuous mapping and U : C → C be relatively non- expansive. An algorithm for ...
Spectral Decomposition of Compact Operators on Hilbert Spaces
Compact operators are linear operators on Banach spaces that maps bounded set to relatively compact sets. In the case of Hilbert space H it is an extension of the concept of matrix acting on a finite dimensional vector ...
Approximation Method for Solving Variational Inequality with Multiple Set Split Feasibility Problem in Banach Space
In this thesis, we consider the problem of approximating solution of generalized equilibrium problems and common fixed point of finite family of strict pseudocontractions. The result obtained is applied in approximation ...
A Modified Subgradient Extragradient Method for Solving Monotone Variational Inequalities in Banach Spaces
The subgradient extragradient method is considered an improvement of the extragradient method for variational inequality problem for the class of monotone and Lipschitz continuous mappings in the setting of Hilbert spaces. ...