Best proximity results for Suzuki and convex type contractions

Fixexd point theory and applications

Nawab Hussain¹  MA Kutbi¹  Masoomeh Hezarjaribi²  Peyman Salimi³ 

[1] Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia;Department of Mathematics, Payame Noor University (PNU), Tehran, Iran;Young Researchers and Elite Club, Rasht Branch, Islamic Azad University, Rasht, Iran

关键词: best proximity point;    proximal α-admissible mapping;    Suzuki type proximal contractions;   

DOI  :  10.1186/s13663-016-0499-2

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The aim of the paper is to introduce new Suzuki and convex type contractions and prove new best proximity results for these contractions in the setting of a metric space. As applications, we deduce similar results for such type of contractions in partially ordered metric spaces and derive new Suzuki type fixed point results. An illustrative example is provided here to highlight our findings.

【 授权许可】

CC BY