Optimal Approximate Solution for \(\alpha \) -Multiplicative Proximal Contraction Mappings in Multiplicative Metric Spaces

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• 作者：Chirasak Mongkolkeha ; Wutiphol Sintunavarat
• 关键词：Best proximity points ; Multiplicative metric spaces ; $$\alpha $$ α ; Multiplicative proximal contraction mappings ; $$\alpha $$ α ; Proximal admissible mappings ; 47H09 ; 47H10
• 刊名：Proceedings of the National Academy of Sciences, India Section A: Physical Sciences
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：86
• 期：1
• 页码：15-20
• 全文大小：369 KB
• 参考文献：1.Bashirov AE, Kurpinar EM, Özyapici A (2008) Multiplicative calculus and its applications. J Math Anal Appl 337:36–48CrossRef MathSciNet MATH
  2.Özavşar M, Çevikel AC (2012) Fixed points of multiplicative contraction mappings on multiplicative metric spaces, Math GN: 23 May 2012
  3.Mongkolkeha C, Sintunavarat W (2015) Best proximity points for multiplicative proximal contraction mapping on multiplicative metric spaces. J Nonlinear Sci Appl 8:1134–1140MathSciNet
  
• 作者单位：Chirasak Mongkolkeha (1)
  Wutiphol Sintunavarat (2)
  
  1. Department of Mathematics, Faculty of Liberal Arts and Science, Kasetsart University, Kamphaeng-Saen Campus, Nakhonpathom, 73140, Thailand
  2. Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani, 12121, Thailand
  
• 刊物主题：Physics, general; Applied and Technical Physics; Atomic, Molecular, Optical and Plasma Physics; Quantum Physics;
• 出版者：Springer India
• ISSN：2250-1762

文摘

In this work, we introduce the new concept of \(\alpha \)-multiplicative proximal contraction mappings in the setting of multiplicative metric spaces and we also solve optimal approximate solution for such mappings. Our main results improve and extend several results in the literature. We also state some illustrative examples to claim that our results properly generalizes some results in literature. Keywords Best proximity points Multiplicative metric spaces \(\alpha \)-Multiplicative proximal contraction mappings \(\alpha \)-Proximal admissible mappings