Some Fixed Point Theory Results for the Interpolative Berinde Weak Operator
Clement Boateng Ampadu
Abstract
Partially inspired by [Erdal Karapinar, Ravi Agarwal and Hassen Aydi, Interpolative Reich-Rus-Ćirić type contractions on partial metric spaces, Mathematics 6 (2018), 256] and [V. Berinde, Approximating fixed points of weak contractions using the Picard iteration, Nonlinear Anal. Forum 9(1) (2004), 43-53], we introduce a concept of interpolative Berinde weak contraction, and obtain some existence theorems for mappings satisfying such a contractive definition, and some of its extensions.
Topics & Concepts
MathematicsFixed pointMetric spaceFixed-point theoremContraction (grammar)Pure mathematicsNonlinear systemFixed-point iterationType (biology)Operator (biology)Discrete mathematicsMathematical analysisAlgebra over a fieldChemistryInternal medicineRepressorMedicineGenePhysicsTranscription factorEcologyBiochemistryQuantum mechanicsBiologyFixed Point Theorems Analysis