On a pair of fuzzy mappings in modular-like metric spaces with applications
Tahair Rasham, Abdullah Shoaib, Choonkil Park, Ravi P. Agarwal, Hassen Aydi
Abstract
Abstract The aim of this work is to establish results in fixed point theory for a pair of fuzzy dominated mappings which forms a rational fuzzy dominated V -contraction in modular-like metric spaces. Some results via a partial order and using the graph concept are also developed. We apply our results to ensure the existence of a solution of nonlinear Volterra-type integral equations.
Topics & Concepts
MathematicsMetric spacePartial differential equationModular designFuzzy logicOrdinary differential equationNonlinear systemContraction (grammar)Modular formPure mathematicsFixed pointFixed-point theoremDiscrete mathematicsAlgebra over a fieldMathematical analysisDifferential equationComputer scienceArtificial intelligenceInternal medicinePhysicsQuantum mechanicsOperating systemMedicineFixed Point Theorems Analysis