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Nilay Değirmen

Publications and source records attributed to Nilay Değirmen.

2 recordsLinked to original sources
arXiv2021

Non-Newtonian Approach to C-Algebras

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.

math.RA↗
arXiv2021

Some Fixed-Circle Results in C-Algebra Valued Metric Spaces

In this paper, we consider fixed-circle problem in C*-algebra valued metric spaces and prove some fixed-circle theorems for self-mappings by defining the notion of fixed-circle on such spaces with geometric interpretation. Furthermore, we give some illustrative examples to substantiate the importance of our newly obtained results.

math.FA↗