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On Stability of Fixed Points for Multi-Valued Mappings with an Application

On Stability of Fixed Points for Multi-Valued Mappings with an Application

This paper studies the stability of fixed points for multi-valued mappings in relation to selections. For multi-valued mappings admitting Michael selections, some examples are given to show that the fixed point mapping of these mappings are neither upper semi-continuous nor almost lower semi-continuous. Though the set of fixed points may …