格α(t)凹凸算子的不动点定理

Fixed Point Theorem of Lattice α(t)-Concave-Convex Operators

利用半序方法在u0-r完备Archimedean型向量格中研究格α(t)凹凸算子,在非紧非连续的条件下得到不动点的存在惟一性以及迭代序列的收敛性.

In this paper, by using the partial order tors are studied in u0-r complete Archimedean vector method, the lattice a（t）-concave-convex operalattice. Without any compactness or continuity of the operators, the existence and uniqueness of the fixed point, as well as the convergence of the iterative sequence are obtained.