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.
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