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end{aligned}   Moreover, when F satisfies an additional symmetric condition, by using the genus theory, we also obtained that system (1.1) has infinitely many solutions.

We also obtain that like in Case 1.

By the property of, we also obtain that (3.18).

Similarly, we also obtain that (u_{k}leqbeta_{k}), (kin[1,N]_{mathbb{Z}}).

Hence { x n } is bounded and we also obtain that { u n } is bounded.

We also obtain that {y n }, {W n y n } and {Fx n } are bounded.

We also obtain that { f ( x n ) } and { F ¯ T x n } are bounded.

Hence, { x n } is bounded, and we also obtain that { u n }, { y n } and { V x n } are bounded.

We also obtain that extinction ratio can reach −73.87 dB at 1.55μm wavelength and at 1.41μm, 1.65μm extinction ratio can reach 30.8978 dB and 31.1741 dB, respectively.

This implies that { x n } is bounded, and we also obtain that { u n }, { z n }, { h x n } and { S z n } are bounded.

As in Case 1, we also obtain that { x τ ( n ) } and { ν τ ( n ) } converge weakly to some x ∗ in F ( T ).