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中文摘要：
利用概率线性赋范空间中的Leray-Schauder拓扑度理论,通过改变算子所满足的边界条件,研究了非线性算子方程Tx=Lx和Tx-Lx＋p的解的存在性问题,在不要求方程满足L≥1的条件下（在文[1,2]中都要求方程满足条件L≥1）,得到了几个新的定理.同时改进了文[1]中关于非线性算子方程Tx=μx（μ≥1）的结论,并且推广文[2]中关于非线性算子方程Tx=Lx＋p（L≥1）的结论。
英文摘要：
Utilizing laray-schauder topological degree theorems in menger PN space and with the diversification of bounding conditions that the operators should hold, the existence of the solution of nonlinear operator equations Tx = Lx and Tx = Lx ＋ p are studied. Some new theorems without condition L ≥ 1 of equation （ In [ 1, 2 ] , equations must be satisfied this condition） is obtained. Meanwhile, the results in [ 1 ] for nonlinear operator equation Tx =μx （μ≥〉1） are the improved and the results in [ 2] for nonlinear operator equation Tx=Lx（L≥1） are generalized.
同期刊论文项目
同项目期刊论文
Common fixed point theorems for families of compatible mappings in intuitionistic fuzzy metric space
On the complex oscillation of differential polynomials generated by meromorphic solutions of differe
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