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Notes on multidimensional fixed-point theorems
Journal article   Open access  Peer reviewed

Notes on multidimensional fixed-point theorems

Habibulla Akhadkulov, Salmi M. Noorani, Azizan B. Saaban, Fathilah M. Alipiah and Habes Alsamir
Demonstratio mathematica, Vol.50(1), pp.360-374
20/12/2017

Abstract

47H09 47H10 54H25 55H25 contractive mapping Fixed-point mixed monotone property partially ordered set
In this paper we prove the existence and uniqueness of coincident (fixed) points for nonlinear mappings of any number of arguments under a (ψ, θ, φ)-weak contraction condition without O-compatibility. The obtained results extend, improve and generalize some well-known results in the literature to be discussed below. Moreover, we present an example to show the efficiency of our results.
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https://doi.org/10.1515/dema-2017-0033View
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