Fixed point results for alpha-implicit contractions with application to integral equations
Articles
Nawab Hussain
King Abdulaziz University, Saudi Arabia
Calogero Vetro
University of Palermo, Italy
Francesca Vetro
University of Palermo, Italy
Published 2016-05-20
https://doi.org/10.15388/NA.2016.3.5
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Keywords

fixed points
implicit contractions
quasi-b-metric spaces

How to Cite

Hussain, N., Vetro, C. and Vetro, F. (2016) “Fixed point results for alpha-implicit contractions with application to integral equations”, Nonlinear Analysis: Modelling and Control, 21(3), pp. 362–378. doi:10.15388/NA.2016.3.5.

Abstract

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.

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