6533b86dfe1ef96bd12c96b7

RESEARCH PRODUCT

Fixed point results for α-implicit contractions with application to integral equations

Francesca VetroNawab HussainCalogero Vetro

subject

fixed pointsApplied Mathematics010102 general mathematicsMathematical analysisimplicit contractionslcsh:QA299.6-433Alpha (ethology)implicit contractionlcsh:AnalysisFixed point01 natural sciencesIntegral equation010101 applied mathematicsfixed pointSettore MAT/05 - Analisi Matematicaquasi-b-metric spacesSettore MAT/03 - Geometria0101 mathematicsAnalysisMathematics

description

Recently, Aydi et al. [On fixed point results for α-implicit contractions in quasi-metric spaces and consequences, Nonlinear Anal. Model. Control, 21(1):40–56, 2016] proved some fixed point results involving α-implicit contractive conditions in quasi-b-metric spaces. In this paper we extend and improve these results and derive some new fixed point theorems for implicit contractions in ordered quasi-b-metric spaces. Moreover, some examples and an application to integral equations are given here to illustrate the usability of the obtained results.

yearjournalcountryeditionlanguage
2016-05-01Nonlinear Analysis: Modelling and Control
https://doi.org/10.15388/na.2016.3.5