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Corrigendum to “Commutators on ( q ) p ” (Studia Math. 206 (2011), 175-190)

Dongyang Chen, William B. Johnson, Bentuo Zheng (2014)

Studia Mathematica

We give a corrected proof of Theorem 2.10 in our paper “Commutators on ( q ) p ” [Studia Math. 206 (2011), 175-190] for the case 1 < q < p < ∞. The case when 1 = q < p < ∞ remains open. As a consequence, the Main Theorem and Corollary 2.17 in that paper are only valid for 1 < p,q < ∞.

Costruzione di spike-layers multidimensionali

Andrea Malchiodi (2005)

Bollettino dell'Unione Matematica Italiana

Si studiano soluzioni positive dell’equazione - ϵ 2 Δ u + u = u p in Ω , dove Ω R n , p > 1 ed ϵ è un piccolo parametro positivo. Si impongono in genere condizioni al bordo di Neumann. Quando ϵ tende a zero, dimostriamo esistenza di soluzioni che si concentrano su curve o varietà.

Coupled fixed point theorems for (α, φ) g -contractive type mappings in partially ordered G-metric spaces

Jianhua Chen, Xianjiu Huang (2015)

Open Mathematics

In this paper, we introduce a new concept of (α, φ)g-contractive type mappings and establish coupled coincidence and coupled common fixed point theorems for such mappings in partially ordered G-metric spaces. The results on fixed point theorems are generalizations of some existing results.We also give some examples to illustrate the usability of the obtained results.

Coupled fixed points of mixed monotone operators on probabilistic Banach spaces

Ismat Beg, Abdul Latif, Rashid Ali, Akbar Azam (2001)

Archivum Mathematicum

The existence of minimal and maximal fixed points for monotone operators defined on probabilistic Banach spaces is proved. We obtained sufficient conditions for the existence of coupled fixed point for mixed monotone condensing multivalued operators.

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