Numerical Mathematics: A Journal of Chinese Universities (Englisn Serles) publlisnes mgn quality papers on the theory and applications in the field of numerical analysis, scientific computing and mathematical modeling...Numerical Mathematics: A Journal of Chinese Universities (Englisn Serles) publlisnes mgn quality papers on the theory and applications in the field of numerical analysis, scientific computing and mathematical modeling. All contributions must be original research papers or invited surveys of expository nature, of very high quality.展开更多
In this papert we study the existence of solutions and boundary solutions tothe following system of operator equations in partial ordering sets.We do not assume any topological structure or algebraic structure on the ...In this papert we study the existence of solutions and boundary solutions tothe following system of operator equations in partial ordering sets.We do not assume any topological structure or algebraic structure on the partial orderingsets. The quasi-order completeness of the ranges on Akik, Bkjk (ik = 1, 2,... mk,jk =1, 2,’’’ nk) is the main condition in the theorems. We discuss the quasi-order completesets in some concrete spaces. As corollaries, we obtain some new coupled fixed point resultsfor mixed monotone operators. Lastly the conclusions are applied to a system of functionalequations arising in dyntaic programming.展开更多
文摘Numerical Mathematics: A Journal of Chinese Universities (Englisn Serles) publlisnes mgn quality papers on the theory and applications in the field of numerical analysis, scientific computing and mathematical modeling. All contributions must be original research papers or invited surveys of expository nature, of very high quality.
文摘In this papert we study the existence of solutions and boundary solutions tothe following system of operator equations in partial ordering sets.We do not assume any topological structure or algebraic structure on the partial orderingsets. The quasi-order completeness of the ranges on Akik, Bkjk (ik = 1, 2,... mk,jk =1, 2,’’’ nk) is the main condition in the theorems. We discuss the quasi-order completesets in some concrete spaces. As corollaries, we obtain some new coupled fixed point resultsfor mixed monotone operators. Lastly the conclusions are applied to a system of functionalequations arising in dyntaic programming.
