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Uniqueness and Existence Results

Uniqueness and Existence Results

Abstract In this chapter, we establish Theorems 10.1007/978-3-030-95088-0_1#FPar4 and 10.1007/978-3-030-95088-0_1#FPar5 and show that, under the assumptions of these theorems, the sequence $$n\mapsto f^p_n[g]$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>n</mml:mi> <mml:mo>↦</mml:mo> <mml:msubsup> <mml:mrow> <mml:mi>f</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>n</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>p</mml:mi> </mml:mrow> </mml:msubsup> <mml:mo>[</mml:mo> <mml:mi>g</mml:mi> <mml:mo>]</mml:mo> </mml:math> converges uniformly on any bounded subset of $$\mathbb …