On the (<i>r</i>,<i>φ</i>,<i>ψ</i>)-Suzuki Contraction for the Multi-Valued Mappings

• 作者: Zamir Selko
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: Suzuki-Contraction Multi-Valued Mappings Fixed Point Theorem Absolutely Continuous Functions
• 年，卷（期）: 2021,（2）
• 页码范围: 211-219
• 页数: 9页
• 分类号: O17

摘要

In this work we try to give a new contraction type in multi-valued mapping on complete metric spaces. We prove the existence of fixed point for (<i>r</i>,<i>φ</i>,<i>ψ</i>)-Suzuki contraction in such spaces. Around our paper, the function <i>ψ</i> is absolutely continuous, and in this case, the contraction proposed by as has a fixed point.