A numerical schemes and comparisons for fixed point results with applications to the solutions of Volterra integral equations in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si47.svg"> <mml:mrow> <mml:mi>d</mml:mi> <mml:mi>i</mml:mi> <mml:mi>s</mml:mi> <mml:mi>l</mml:mi> <mml:mi>o</mml:mi> <mml:mi>c</mml:mi> <mml:mi>a</mml:mi> <mml:mi>t</mml:mi> <mml:mi>e</mml:mi> <mml:mi>d</mml:mi> <mml:mspace width="0.35em"/> <mml:mi>e</mml:mi> <mml:mi>x</mml:mi> <mml:mi>t</mml:mi> <mml:mi>e</mml:mi> <mml:mi>n</mml:mi> <mml:mi>d</mml:mi> <mml:mi>e</mml:mi> <mml:mi>d</mml:mi> <mml:mspace width="0.35em"/> <mml:mi>b</mml:mi> <mml:mo>-</mml:mo> <mml:mi>m</mml:mi> <mml:mi>e</mml:mi> <mml:mi>t</mml:mi> <mml:mi>r</mml:mi> <mml:mi>i</mml:mi> <mml:mi>c</mml:mi> <mml:mspace width="0.35em"/> <mml:mi>s</mml:mi> <mml:mi>p</mml:mi> <mml:mi>a</mml:mi> <mml:mi>c</mml:mi> <mml:mi>e</mml:mi> </mml:mrow> </mml:math>
Sumati Kumari Panda, Erdal Karapınar, Abdon Atangana
Abstract
In this article, we propose a generalization of both b-metric and dislocated metric, namely, dislocated extended b-metric space. After getting some fixed point results, we suggest a relatively simple solution for a Volterra integral equation by using the technique of fixed point in the setting of dislocated extended b-metric space.
Topics & Concepts
Metric (unit)Metric spaceGeneralizationMathematicsFixed pointFixed-point theoremSimple (philosophy)Integral equationSpace (punctuation)Point (geometry)Applied mathematicsDiscrete mathematicsMathematical analysisComputer scienceGeometryPhilosophyOperating systemOperations managementEpistemologyEconomicsFixed Point Theorems AnalysisAdvanced Differential Geometry Research