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#### A Modified Subgradient Extragradeint Method for Variational Inequality Problems and Fixed Point Problems in Real Banach Spaces

(2017-12-18)

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

(2017-11-23)

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

(2017-12-18)

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 ...

#### Approximation Method for Solving Variational Inequality with Multiple Set Split Feasibility Problem in Banach Space

(2017-12-18)

In this thesis, an iterative algorithm for approximating the solutions of avariational inequality problem for a strongly accretive, L-Lipschitz map and solutions of a multiple sets split feasibility problem is studied in ...

#### A Modified Subgradient Extragradient Method for Solving Monotone Variational Inequalities in Banach Spaces

(2017-12-18)

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. ...

#### A Krasnoselskii-Type Algorithm for Approximating Solutions of Variational Inequality Problems and Convex Feasibility Problems

(2017-12-18)

A Krasnoselskii-type algorithm for approximating a common element of the set of solutions of a variational inequality problem for a monotone, k-Lipschitz map and solutions of a convex feasibility problem involving a countable ...

#### A Hybrid Algorithm for Approximating a Common Element of Solutions of a Variational Inequality Problem and a Convex Feasibility Problem

(2017-12-18)

In this thesis, a hybrid extragradient-like iteration algorithm for approximating a common element of the set of solutions of a variational inequality problem for a monotone, k-Lipschitz map and common fixed points of a ...

#### Weak and Strong Convergence Theorems for Nonspreading type Mapping in a Hilbert Spaces

(2017-12-18)

The work of Osilike and Isiogugu, Nonlinear Analysis, 74 (2011), 1814-1822 on weak and strong convergence theorems for a new class of k-strictly pseudononspreading mappings in real Hilbert spaces is reviewed. We studied ...