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On the functional equations involving nonlinear generalized ๐‘ƒ-compact operators

On the functional equations involving nonlinear generalized ๐‘ƒ-compact operators

Introduction.In his recent papers [23], [24], [25] Petryshyn has introduced and studied a class of projectionally compact (F-compact) nonlinear mappings of a real Banach space with property (n)K into itself.The main result of this study was an elementary and essentially a constructive proof of two fixed point theorems for bounded โ€ฆ