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Abstract Using the concept of a mixed g-monotone mapping, we prove some coupled coincidence and coupled common fixed point theorems for nonlinear contractive mappings in partially ordered complete quasi-metric spaces with a Q-function q. The presented theorems are generalizations of the recent coupled fixed point theorems due to Bhaskar and Lakshmikantham (2006), Lakshmikantham and Ćirić (2009) and many others.

Abstract The purpose of this paper is to derive an interested subordination relation which contains the Srivastava-Attiya integral operator in the open unit disc . Some applications of the main result are also considered.

Constructing yolk-shell-structured non-noble-metal composites is very important for improving their activity and stability in catalytic performance. Herein, we report a facile strategy for the synthesis of ternary Cu@SiO 2 @C yolk-shell composites by converting the resorcinol-formaldehyde (RF) resin-coated Cu 2 O@SiO 2 with a core-shell structure via a thermal treatment under a N 2 atmosphere. Notably, the annealing temperature and silica interlayer play vital roles in modulating their structures and catalytic performance. Moreover, this strategy may pave a new way to constructing non-noble-metal-based composites with yolk-shell structures.