Fixed Point Approximation of Monotone Nonexpansive Mappings in Hyperbolic Spaces
Amna Kalsoom, Naeem Saleem, Hüseyin Işık, Tareq M. Al-shami, Amna Bibi, Hafsa Khan
Abstract
Fixed points of monotone <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M1"> <a:mi>α</a:mi> </a:math> -nonexpansive and generalized <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" id="M2"> <c:mi>β</c:mi> </c:math> -nonexpansive mappings have been approximated in Banach space. Our purpose is to approximate the fixed points for the above mappings in hyperbolic space. We prove the existence and convergence results using some iteration processes.
Topics & Concepts
Monotone polygonFixed pointBanach spaceMathematicsConvergence (economics)Pure mathematicsDiscrete mathematicsMathematical analysisGeometryEconomicsEconomic growthOptimization and Variational AnalysisFixed Point Theorems AnalysisAdvanced Optimization Algorithms Research