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Fixed points of some nonlinear operators in spaces of multifunctions and the Ulam stability

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We prove a fixed point theorem for nonlinear operators, acting on some function spaces (of set-valued maps), which satisfy suitable inclusions. We also show some applications of it in the… Click to show full abstract

We prove a fixed point theorem for nonlinear operators, acting on some function spaces (of set-valued maps), which satisfy suitable inclusions. We also show some applications of it in the Ulam type stability.

Keywords: spaces multifunctions; nonlinear operators; operators spaces; fixed points; stability; points nonlinear

Journal Title: Journal of Fixed Point Theory and Applications
Year Published: 2017

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