BEBERAPA TEOREMA TITIK TETAP DALAM RUANG METRIK-B KONVEKS DAN APLIKASI PERSAMAAN INTEGRAL LINIER FREDHLOM SKRIPSI

Nisa Arofatul Aulia, NIM.: 18106010024 (2022) BEBERAPA TEOREMA TITIK TETAP DALAM RUANG METRIK-B KONVEKS DAN APLIKASI PERSAMAAN INTEGRAL LINIER FREDHLOM SKRIPSI. Skripsi thesis, UIN SUNAN KALIJAGA YOGYAKARTA.

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Abstract

One of the important concepts in analysis is the concept of metric space. In this study, we will discuss the concept of b-metric space which is an extension of the metric space concept. And then explained the concept of konveks metric-b space with a konveks structure by expanding Mann’s iteration algorithm. The b-metric space was first introduced by Bachtin in 1989. The b-metric space is a non-empty set and a real number 1 s  and features a function that maps a set of 2 elements from the set pair to a positive real number and meets 3 actions. The Crewzik also generalized the Banach fixed point theorem to the metric space which then introduced the b-metric and then proved the fixed point theorem in it. This study discuss the fixed point singularity theorem in the complete convex bmetric space. One of his proffs in the fixed point nullity theorem using the Banach contraction principle with convex b-metric space and explain the application of the theorem to show the existence

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