6533b861fe1ef96bd12c599a

RESEARCH PRODUCT

Monotone generalized nonlinear contractions and fixed point theorems in ordered metric spaces

Hemant Kumar NashineBessem SametCalogero Vetro

subject

partially ordered setPure mathematicsweakly contractive conditionExistence theoremFixed-point theoremFixed pointFixed pointFixed-point propertyComplete metric spaceComputer Science ApplicationsCombinatoricsMetric spaceSettore MAT/05 - Analisi Matematicacomplete metric spaceModelling and SimulationModeling and Simulationaltering distance functionPartially ordered setCoincidence pointMathematics

description

The purpose of this paper is to present some fixed point theorems for T -weakly isotone increasing mappings which satisfy a generalized nonlinear contractive condition in complete ordered metric spaces. As application, we establish an existence theorem for a solution of some integral equations.

https://doi.org/10.1016/j.mcm.2011.03.014