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Positive solutions of nonlinear matrix equations via fixed point results in relational metric spaces with w-distance
We consider the non-linear matrix equation (NME) of the form U = Q + ?ki =1A*i ?(U)Ai, where Q is an n?n Hermitian positive definite matrix,A1,A2,...,Am are n?n matrices, and ? is a non-linear self mapping of the set of all Hermitian matrices which are continuous in the trace norm. …