Suzuki-type fixed point results in b-metric spaces

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• 作者：Jamal Rezaei Roshan ; Nawab Hussain ; Shaban Sedghi ; Nabi Shobkolaei
• 关键词：Fixed point ; b ; metric space ; Suzuki contarction ; 47H10 ; 54H25
• 刊名：Mathematical Sciences
• 出版年：2015
• 出版时间：September 2015
• 年：2015
• 卷：9
• 期：3
• 页码：153-160
• 全文大小：413 KB
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• 作者单位：Jamal Rezaei Roshan (1)
  Nawab Hussain (2)
  Shaban Sedghi (1)
  Nabi Shobkolaei (3)
  
  1. Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
  2. Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia
  3. Department of Mathematics, Babol Branch, Islamic Azad University, Babol, Iran
  
• 刊物主题：Applications of Mathematics;
• 出版者：Springer Berlin Heidelberg
• ISSN：2251-7456

文摘

An ingenious approach to generalize Banach contraction principle was adopted by Suzuki in his seminal papers (Proc Am Math Soc 136:1861-869, 2008, Nonlinear Anal Theory Methods Appl 71:5313-317, 2009). In this paper we prove certain common fixed point results for generalized Suzuki contractions in the set-up of b-metric spaces, where the b-metric function is not necessarily continuous. Finally, some examples are presented to verify the effectiveness and applicability of our main results. Keywords Fixed point b-metric space Suzuki contarction