Document Type: Research Paper

**Authors**

Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

**Abstract**

Here, a new certain class of contractive mappings in the b-metric spaces is introduced. Some fixed point theorems are proved which generalize and modify the recent results in the literature. As an application, some results in the b-metric spaces endowed with a partial ordered are proved.

**Keywords**

**Main Subjects**

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