Monotone Approximation of Decision Problems

A Relaxed Extra Gradient Approximation Method of Two Inverse-Strongly Monotone Mappings for a General System of Variational Inequalities, Fixed Point and Equilibrium Problems

Approximating Curves for Nonexpansive and Monotone Operators

A classical tool in nonlinear analysis is the notion of an approximating curve, whereby a particular solution to a nonuniquely solvable problem is obtained as the limit of the solutions to uniquely solvable perturbed problems. We introduce and analyze new types of approximating curves for nonexpansive fixed point problems and monotone inclusion problems in Hilbert spaces. The solution attained ...

Approximating Decision Problems

We view decision problems semantically as total elements and develop a suitable notion of partial element: A polynomial algorithm which approximates a decision problem by giving sound replies of the form yes, no, or don't know. Each decision problem is characterizes by a lattice of such partial elements. These lattices gives rise to an approximative version of problem reductions which we compar...

Interval-valued intuitionistic fuzzy aggregation methodology for decision making with a prioritization of criteria

Interval-valued intuitionistic fuzzy sets (IVIFSs), a generalization of fuzzy sets, is characterized by an interval-valued membership function, an interval-valued non-membership function.The objective of this paper is to deal with criteria aggregation problems using IVIFSs where there exists a prioritization relationship over the criteria.Based on the ${L}$ukasiewicz triangular norm, we first p...

On the Monotone Mappings in CAT(0) Spaces

In this paper, we first introduce a monotone mapping and its resolvent in general metric spaces.Then, we give two new iterative methods  by combining the resolvent method with Halpern's iterative method and viscosity approximation method for  finding a fixed point of monotone mappings and a solution of variational inequalities. We prove convergence theorems of the proposed iterations  in ...