Open AccessOn New -Fixed Point Results for -Contractions in Complete Metric Spaces with Applications
Author(s) -
Bagher Mohammadi,
Wutiphol Sintunavarat,
Vahid Parvaneh
Publication year - 2021
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2021/6626660
Subject(s) - mathematics , fixed point , metric space , metric (unit) , discrete mathematics , algebra over a field , pure mathematics , mathematical analysis , operations management , economics
The main aim of this work is to introduce the new concept of λ − Υ , χ -contraction self-mappings and prove the existence of χ -fixed points for such mappings in metric spaces. Our results generalize and improve some results in existing literature. Moreover, some fixed point results in partial metric spaces can be derived from our χ -fixed points results. Finally, the existence of solutions of nonlinear integral equations is investigated via the theoretical results in this work.