Relation-preserving generalized nonlinear contractions and related fixed point theorems
Faruk Sk, Faizan Ahmad Khan, Qamrul Haq Khan, Aftab Alam
Abstract
<abstract><p>In this paper, we present some fixed point theorems for generalized nonlinear contractions involving a new pair of auxiliary functions in a metric space endowed with a locally finitely $ T $-transitive binary relation. Our newly proved results generalize some well-known fixed point theorems existing in the literature. We also provide an example which substantiates the utility of our results.</p></abstract>
Topics & Concepts
MathematicsFixed-point theoremMetric spaceFixed pointBinary relationTransitive relationNonlinear systemRelation (database)Pure mathematicsDiscrete mathematicsComplete metric spaceCombinatoricsMathematical analysisComputer sciencePhysicsDatabaseQuantum mechanicsFixed Point Theorems Analysis