Kamran於2017年提出了擴展b-度量空間，並且給出在此空間上的固定點理論。我們於章
節二提出了一些構造擴展b-度量空間的方法。此外，我們於推論2.6中提出了構造度量空間
的方法。最後，於章節三中推廣了interpolative Reich–Rus–Ćirić type contraction及generalized contraction，證明其在擴展b-度量空間的固定點存在性。

In 2017, Kamran [9] proposed the extended b-metric space and proved some fixed point results on the space. In Chapter 2, we prove some approaches to contruct an extended b-metric space. Moreover, we present a sufficient condition of a metric space in Corollary 2.6. Finally, we prove a fixed point theorem on extended b-metric space by extending the interpolative Reich–Rus–Ćirić type contraction and the generalized contraction.

Abstract 1
Acknowledgements 2
Contents 3
1.Introduction 4
2.Some Properties of the Extended b-Metric space 6
3.Fixed Point Theorems 12

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