Let C be a closed convex subset of a real Hilbert space H. Let T be a supper hybrid mapping of C into H, let A be an inverse strongly monotone mapping of C into H and let B be a maximal monotone operator on H such that the domain of B is included in C. In this paper, we introduce two iterative sequences by hybrid methods of finding a point of F (T )∩ (A+B)−10, where F (T ) is the set of fixed p...

Extending the characterization of the directional derivatives of a strongly regular solution to a variational inequality under parameter perturbations, this paper derives a first-order sensitivity result for a monotone-plus affine variational inequality (AVI) having non-isolated solutions. The result employs a “directional AVI” whose solutions provide the directional derivatives, if they exist,...

In this paper, we introduce a new iterative sequence which is constructed by using the hybrid projection method for solving the common solution for a system of generalized equilibrium problems of inverse strongly monotone mappings and a system of bifunctions satisfying certain the conditions, the common solution for the families of quasi -φasymptotically nonexpansive and uniformly Lipschitz con...

Abstract In this work we introduce and analyse a new multiscale method for strongly nonlinear monotone equations in the spirit of localized orthogonal decomposition. A problem-adapted space is constructed by solving linear local fine-scale problems, which then used generalized finite element method. The linearity problems allows their localization and, moreover, makes very efficient to use. giv...

The purpose of this paper is to find of the theoretical results of fixed point theorems for a mixed monotone mapping in a metric space endowed with partially order by using the generalized Kanann type contractivity of assumption. Also, as an application, we prove the existence and uniqueness of solution for a first-order ordinary differential equation with periodic bou...

In this paper, we introduce a viscosity iterative process, which converges strongly to a common element of the set of fixed points of a pseudo-contractive mapping and the set of solutions of a monotone mapping. We also prove that the common element is the unique solution of certain variational inequality. The strong convergence theorems are obtained under some mild conditions. The results prese...