ANALISIS TITIK TETAP PADA PEMETAAN TERDOMINASI DI RUANG METRIK-b SEGI EMPAT LENGKAP DAN PENERAPANNYA PADA GRAF

NUR FARIDAH, NIM. 17106010039 (2021) ANALISIS TITIK TETAP PADA PEMETAAN TERDOMINASI DI RUANG METRIK-b SEGI EMPAT LENGKAP DAN PENERAPANNYA PADA GRAF. Skripsi thesis, FAKULTAS SAINS DAN TEKNOLOGI.

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Abstract

The rectangular b-metric space is a non-empty set in which it is completed by a mapping and satisfies three axioms e.t definitas, symetri, inquality of the rectangular-b. The b-metric space was first introduced by George (2015) who was motivated from the b-metric space and the rectangular metric space. This research discusses the fixed point theorem on the  -dominated mapping in rectangular b-metric space. The proving process involves sequence Picards to find a fixed point. The example given by Shoaib (2015) is less precise, because it does not fulfill all the hypotheses in the main theorem. Therefore, in this research another example is given which satisfies all the hypotheses in the main theorem , so that it is expected to provide an understanding of the main theorems in this study. In addition, it also discusses the application of the fixed point theorem to graph theory and its examples. The process of constructing a fixed point in rectangular b-metric space endowed with directed graph using graph-dominated mapping.

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