On some new fixed point results in fuzzy b-metric spaces
Dušan Rakić, Aiman Mukheimer, Tatjana Došenović, Zoran D. Mitrović, Stojan Radenović
Abstract
Abstract This paper consists of several fixed point theorems in the fuzzy b -metric spaces. As an important result, we give a sufficient condition for a sequence to be Cauchy in the fuzzy b -metric space. Thus we simplify the proofs of many fixed point theorems in the fuzzy b -metric spaces with the well-known contraction conditions.
Topics & Concepts
MathematicsMetric spaceCauchy sequenceFixed pointComplete metric spaceFixed-point theoremFuzzy logicContraction mappingInjective metric spaceDiscrete mathematicsT-normPure mathematicsContraction (grammar)Convex metric spaceSequence (biology)Fuzzy numberFuzzy setMathematical analysisComputer scienceBiologyGeneticsMedicineArtificial intelligenceInternal medicineFixed Point Theorems Analysis