Recently, Aydi et al. [On fixed point results for alpha-implicit contractions in quasi-metric spaces and consequences, Nonlinear Anal. Model. Control, 21(1):40-56, 2016] proved some fixed point results involving alpha-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.
Hussain, N., Vetro, C., Vetro, F. (2016). Fixed point results for alpha-implicit contractions with application to integral equations. NONLINEAR ANALYSIS, 21(3), 362-378 [10.15388/NA.2016.3.5].
Fixed point results for alpha-implicit contractions with application to integral equations
VETRO, Calogero;VETRO, Francesca
2016-01-01
Abstract
Recently, Aydi et al. [On fixed point results for alpha-implicit contractions in quasi-metric spaces and consequences, Nonlinear Anal. Model. Control, 21(1):40-56, 2016] proved some fixed point results involving alpha-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.
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