Common Fixed Point Theorems for Monotone Generalized Contractions Satisfying a Contractive Condition of Rational Type in Ordered Metric Spaces

Jackie Harjani; Belén López; Kishin Sadarangani

Abstract

The purpose of this paper is to present a fixed point theorem for monotone generalized contractions satisfying a contractive condition of rational type in the context of partially ordered metric spaces. Our results extend other recent results.

Author information

Contact details are reproduced from the original publication and may be historical.

Jackie Harjani

Dep. de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain

jharjani@dma.ulpgc.es

Belén López

Dep. de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain

blopez@dma.ulpgc.es

Kishin Sadarangani

Dep. de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain

ksadaran@dma.ulpgc.es

Keywords

Ordered metric spaces
altering distance functions
monotone generalized mapping
coincidence point
common fixed point

Mathematics Subject Classification

47H10

Suggested citation

J. Harjani, B. López, K. Sadarangani. “Common Fixed Point Theorems for Monotone Generalized Contractions Satisfying a Contractive Condition of Rational Type in Ordered Metric Spaces.” Journal of Convex Analysis 20 (2013), No. 4, 919–935.