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Fixed point results using weak αw\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha _w$$\end{document}-admissible mapping in Gb\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$G_b$$\end{document}-metric spaces with applications

Authors
  • Ghosh, Sudipta Kumar1
  • Nahak, C.1
  • Agarwal, Ravi P.2
  • 1 IIT Kharagpur, Kharagpur, India , Kharagpur (India)
  • 2 Texas A& M University-Kingsville, 700 University Blvd., MSC 172, Kingsville, TX, USA , Kingsville (United States)
Type
Published Article
Journal
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
Publisher
Springer International Publishing
Publication Date
Jan 03, 2022
Volume
116
Issue
1
Identifiers
DOI: 10.1007/s13398-021-01201-5
Source
Springer Nature
Keywords
Disciplines
  • Original Paper
License
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Abstract

In this paper, we propose a new kind of non-linear contraction mappings in the structure of Gb\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$G_b$$\end{document}-metric spaces. Some related fixed point results are proved for such mappings. Our results extend, generalize and modify many famous results that exist in literature. As applications, these are used in the problems of spring mass system and non-linear integral equations.

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