On new common fixed points of multivalued ( Υ , Λ ) documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$(arUpsilon ,arLambda )$$end{document} -contractions in complete b-metric spaces and related application

摘要

The aim of this paper is to introduce the concept of generalized multivalued Υ , Λ documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$left( arUpsilon ,arLambda ight) $$end{document} -contractions and generalized multivalued Υ , Λ documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$left( arUpsilon ,arLambda ight) $$end{document} -Suzuki contractions and introduce some new common fixed point results for such maps in complete b -metric spaces. Our results are an improvement of the Liu et al. fixed point theorem and several comparable results in the existing literature. We set up an example to elucidate our main result. Moreover, we also discuss an application to existence of solution for system of functional equations.