Research Article

Solving Fixed-Point Problems with Inequality and Equality Constraints via a Non-Interior Point Homotopy Path-Following Method

Table 1

Numerical results of Examples 13.

Examples

Example 1(1, 2)50.0000000.000000(−1.000000, 1.000002)(−1.000000, 1.000002)
(−3, −2)80.0000000.000000(−1.000000, 0.999999)(−1.000000, 0.999999)

Example 2(−2, 1)70.0000000.000000(0.333333, 0.000000)(0.333333, 0.000000)
(−2, −1)80.0000000.000000(0.333333, −0.000000)(0.333333, −0.000000)

Example 3(−3, 3)110.0000000.000000(−0.000000, 10.000000)(−0.000000, 10.000000)
(3, 3)110.0000000.000000(−0.000000, 10.000000)(0.000000, 10.000000)