A new iterative algorithm for the set of fixed-point problems of nonexpansive mappings and the set of equilibrium problem and variational inequality problem.
A new iterative method for finding common solutions of a system of equilibrium problems, fixed-point problems, and variational inequalities.
A new iterative method for solving equilibrium problems and fixed point problems for infinite family of nonexpansive mappings.
A new iterative scheme for countable families of weak relatively nonexpansive mappings and system of generalized mixed equilibrium problems.
A new Kantorovich-type theorem for Newton's method
A new Kantorovich-type convergence theorem for Newton's method is established for approximating a locally unique solution of an equation F(x)=0 defined on a Banach space. It is assumed that the operator F is twice Fréchet differentiable, and that F', F'' satisfy Lipschitz conditions. Our convergence condition differs from earlier ones and therefore it has theoretical and practical value.
A new method for the obtaining of eigenvalues of variational inequalities of the special type (Preliminary communication)
A new numerical model for propagation of tsunami waves
A new model for propagation of long waves including the coastal area is introduced. This model considers only the motion of the surface of the sea under the condition of preservation of mass and the sea floor is inserted into the model as an obstacle to the motion. Thus we obtain a constrained hyperbolic free-boundary problem which is then solved numerically by a minimizing method called the discrete Morse semi-flow. The results of the computation in 1D show the adequacy of the proposed model.
A new one-step iterative process for common fixed points in Banach spaces.
A new projection algorithm for generalized variational inequality.
A new simultaneous subgradient projection algorithm for solving a multiple-sets split feasibility problem
In this paper, we present a simultaneous subgradient algorithm for solving the multiple-sets split feasibility problem. The algorithm employs two extrapolated factors in each iteration, which not only improves feasibility by eliminating the need to compute the Lipschitz constant, but also enhances flexibility due to applying variable step size. The convergence of the algorithm is proved under suitable conditions. Numerical results illustrate that the new algorithm has better convergence than the...
A new spectral theory for nonlinear operators and its applications.
A new strong convergence theorem for equilibrium problems and fixed point problems in Banach spaces.
A new system of generalized nonlinear mixed variational inclusions in Banach spaces.
A new system of nonlinear fuzzy variational inclusions involving -accretive mappings in uniformly smooth Banach spaces.
A Newton-type method and its application.
A nonlinear operator in potential theory
A nonlinear second order problem with a nonlocal boundary condition.
A note on asymptotic contractions.
A note on “Common fixed point of multistep noor iteration with errors for a finite family of generalized asymptotically quasi-nonexpansive mappings”.
A note on implicit functions in locally convex spaces.