On fixed points for for alpha–eta–psi-contractive multi-valued mappings in partial metric spaces
Articles
Vincenzo La Rosa
Department of Mathematics and Informatics, University of Palermo, Italy
Pasquale Vetro
University of Palermo, Italy
Published 2015-07-20
https://doi.org/10.15388/NA.2015.3.5
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Keywords

partial metric space
α–η–ψ-contractive condition
α*-admissible pair with respect to a function η
fixed point
common fixed point

How to Cite

La Rosa, V. and Vetro, P. (2015) “On fixed points for for alpha–eta–psi-contractive multi-valued mappings in partial metric spaces”, Nonlinear Analysis: Modelling and Control, 20(3), pp. 377–394. doi:10.15388/NA.2015.3.5.

Abstract

Recently, Samet et al. introduced the notion of α–ψ-contractive type mappings and established some fixed point theorems in complete metric spaces. Successively, Asl et al. introduced the notion of α*–ψ-contractive multi-valued mappings and gave a fixed point result for these multi-valued mappings. In this paper, we establish results of fixed point for α*-admissible mixed multi-valued mappings with respect to a function η and common fixed point for a pair (S,T) of mixed multi-valued mappings, that is, α*-admissible with respect to a function η in partial metric spaces. An example is given to illustrate our result.

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