Non-Newtonian Approach to C-Algebras

Abstract

In this paper, we study the non-Newtonian version of C-algebras. Further, we generalize some results which hold for the classical C-algebras. We also discuss some illustrative examples to show accuracy and effectiveness of the new findings. If we take the identity function I instead of the generators α and β in the construction of the set C(N), then non-Newtonian C-algebras turn into the classical C-algebras, so our results are stronger than some knowledge and facts in the most existing literature.

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