Fixed points for α-ψ-Suzuki contractions with applications to integral equations


Hussain, N., Salimi. P. and Vetro, P.


Abstract

carpathian_2014_30_2_197_207_abstract

Recently, Suzuki [Proc. Amer. Math. Soc. 136 (2008), 1861–1869] proved a fixed point theorem that is a generalization of the Banach contraction principle and characterized the metric completeness. Paesano and Vetro [Topology Appl., 159 (2012), 911–920] proved an analogous fixed point result on a partial metric space. In this paper we prove some fixed point results for Suzuki-α-ψ-contractions and Suzuki-φθφθ-ψrψr-contractions on a complete partially ordered metric space. Moreover, some examples and an application to integral equations are provided to illustrate the usability of the obtained results.

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Author(s)

Hussain, N., Salimi, P., Vetro, P.