6533b83afe1ef96bd12a6f5f

RESEARCH PRODUCT

Some coincidence and periodic points results in a metric space endowed with a graph and applications

Dhananjay GopalDeepesh Kumar PatelMujahid AbbasCalogero Vetro

subject

Pure mathematicsAlgebra and Number TheoryPeriodic sequencePeriodic pointCoincidence point nonlinear integral equation periodic point.Type (model theory)TopologyNonlinear integral equationnonlinear integral equationCoincidenceCoincidence pointMetric spaceperiodic point54H25Settore MAT/05 - Analisi MatematicaGraph (abstract data type)05C40Coincidence pointAnalysis47H10Mathematics

description

The purpose of this paper is to obtain some coincidence and periodic points results for generalized $F$-type contractions in a metric space endowed with a graph. Some examples are given to illustrate the new theory. Then, we apply our results to establishing the existence of solution for a certain type of nonlinear integral equation.

yearjournalcountryeditionlanguage
2015-01-01
10.15352/bjma/09-3-9http://projecteuclid.org/euclid.bjma/1419001707