It provides a unified model of several classes of problems, for example, optimization problems, problems of Nash equilibrium, fixed point problems, variational inequalities, and complementarity problems.
The equilibrium problem contains as special cases, for instance, optimization problems, problems of Nash equilibria, fixed point problems, variational inequalities, and complementarity problems.
The three answer options for eye problems were: no problems; problems caused by diabetes, but no blindness; and blindness as a result of diabetes.
For the explanatory factors "psychiatric problems", "problems with close relations" and "problems with social functioning" the adjustment factor in relationship was also of importance.
In a consensus discussion, the participants assessed symptom severity according to the six dimensions coded in three levels (EQ-5D + C-3L), defined as 1 for no problems, 2 for problems, and 3 for severe problems.
We only prove the conclusion for problem (1.3), the proof for problem (1.4) is the same.
Besides the existence ofan optimal control in problem ( P ε ),necessary optimality conditions for this problem and for problem (P) are provedin Section 3.
The following results are the main results of this paper and play a crucial role to find the partial answers for Problem 1.1, Problem 1.2, and Problem 1.3.
Section 5 is devoted to the existence of ground and bound state solutions for problem (1.1) and problem (1.5), respectively.
Thus, the optimal solution obtained by Algorithm 1 for problem (8) is also optimal for problem (4) (i.e., problem P1).
