Let (E, ‖ · ‖) be a Banach space with a cone P . Let F, φi : E × E → E (i = 1, 2, . . .… Click to show full abstract
Let (E, ‖ · ‖) be a Banach space with a cone P . Let F, φi : E × E → E (i = 1, 2, . . . , r) be a finite number of mappings. We obtain sufficient conditions for the existence and uniqueness of solutions to the problem F (x, y) = x, F (y, x) = y, φi(x, y) = 0E , i = 1, 2, . . . , r, where 0E is the zero vector of E.
               
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