Generalized Contractions to Coupled Fixed Point Theorems in Partially Ordered Metric Spaces
N. Seshagiri Rao, Karusala Kalyani
Abstract
The purpose of this paper is to establish some coupled fixed point theorems for a self mapping satisfying certain rational type contractions along with strict mixed monotone property in a metric space endowed with partial order. Also, we have given the result of existence and uniqueness of a coupled fixed point for the mapping. This result generalize and extend several well known results in the literature
Topics & Concepts
MathematicsFixed-point theoremFixed pointMetric spaceUniquenessMonotone polygonFixed-point propertyPure mathematicsLeast fixed pointContraction mappingProperty (philosophy)Type (biology)Order (exchange)Monotonic functionDiscrete mathematicsSchauder fixed point theoremMathematical analysisPicard–Lindelöf theoremGeometryEconomicsFinanceEpistemologyPhilosophyEcologyBiologyFixed Point Theorems Analysis