ANALISIS TITIK TETAP BERSAMA DI RUANG METRIK-B BERNILAI KOMPLEKS DAN PENERAPANNYA

RIYANA YUNI SULISTYAWATI, NIM. 17106010019 (2021) ANALISIS TITIK TETAP BERSAMA DI RUANG METRIK-B BERNILAI KOMPLEKS DAN PENERAPANNYA. Skripsi thesis, FAKULTAS SAINS DAN TEKNOLOGI.

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Abstract

The complex-valued b-metric space concept was introduced in 2013 as a generalization of the complex valued metric spaces. The complex valued b-metric space is a non-empty set with complex valued function and satisfies three axioms that is positivity and definition, symmetry and inequality of triangles. In this paper discusses the common fixed point result of four self-mapping to satisfy a rational inequality on complex-valued b-metric spaces. To establish the existence and uniqueness of a common fixed point theorem by making use compatible and weakly compatible definitions properties of the function. This process is carried out by referring to previous research and improve the previous construction that was deemed inaccurate by paying attention to known rules. In addition, it is proven that the examples that have been given in previous studies make it easier to understand the main theorem of this paper. The corollary of the main theorem in this paper are discussed to be used as a basis for the application of a common fixed point in the complex valued b-metric space, its application in systems of linear equations.

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