摘要
引入序区间上ψ凹(-ψ凸)算子的概念,研究了这类算子的不动点的存在唯一性及迭代收敛性,对已有文献中的φ凹(凸)算子的不动点定理作了实质性改进.
In this paper,the concepts of ψconcave(convex)oper
ators on ordered inderval are given.And the existence,uniqueness and iterative c
onvergence of fixed point for the above operators are studied.The fixed point th
eorems of φconcave(convex)operator that are available in recent papers are im
proved essentially.Finally the application of our results is given.
基金
河南省教委重点科研基金
山东省自然科学基金
关键词
序区间
锥
不动点
ψ凹算子
ψ凸算子
ordered inderval
cone
ψconcave(convex) operator
fi
xed point