Abstract

A concept of a Zamfirescu type pair of multi-valued mappings between metric spaces is introduced. A coincidence existence theorem is proved for such pairs of mappings. It is shown that the result is a generalization of the main result of the recent joint work by K. Neammanee and A. Kaevkhao, in which the concept of a multi-valued Zamfirescu mapping was introduced and the fixed point existence and approximation theorems were proved. In addition, it is shown in this paper that all listed results are special cases of the principle of search for zeros of special \((1,\lambda)\)-search functionals proposed earlier by T. N. Fomenko.

中文翻译：

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Zamfirescu类型的多值映射对的重合点

摘要

引入了度量空间之间的Zamfirescu类型的多值映射对的概念。证明了此类映射对的重合存在定理。结果表明，该结果是对K. Neammanee和A. Kaevkhao近期共同工作的主要结果的概括，其中引入了多值Zamfirescu映射的概念，并证明了定点存在性和逼近定理。另外，本文表明，所有列出的结果都是T. N. Fomenko较早提出的特殊（\（（1，\ lambda）\） -搜索功能的零点搜索原理的特殊情况 。