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A NOTE ON SOLUTIONS FOR AN ITERATIVE FUNCTIONAL EQUATION IN 2-BANACH SPACES
JYOTSANA JAKHAR,Renu Chugh,RAMU DUBEY,Lakshmi Narayan Mishra 장전수학회 2021 Advanced Studies in Contemporary Mathematics Vol.31 No.1
In this work, we explain an iterative equation for convex solutions in 2-Banach spaces. Our aim is to discuss the existence of monotone solutions in the real 2-Banach spaces and obtain the forward condition under which the solutions are convex or con- cave in order. Using the expansion method, we establish a general construction of the convex solutions for the iterative functional equation.