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Some properties of relatively strong pseudocompactness

Guo-Fang Zhang — 2008

Czechoslovak Mathematical Journal

In this paper, we study some properties of relatively strong pseudocompactness and mainly show that if a Tychonoff space $X$ and a subspace $Y$ satisfy that $Y \subset \bar{Int Y}$ and $Y$ is strongly pseudocompact and metacompact in $X$ , then $Y$ is compact in $X$ . We also give an example to demonstrate that the condition $Y \subset \bar{Int Y}$ can not be omitted.

On existence theorems for semilinear equations and applications

Fang Zhang; Feng Wang — 2013

Annales Polonici Mathematici

Existence results for semilinear operator equations without the assumption of normal cones are obtained by the properties of a fixed point index for A-proper semilinear operators established by Cremins. As an application, the existence of positive solutions for a second order m-point boundary value problem at resonance is considered.

Multiple positive solutions for nonlinear singular third-order boundary value problem in abstract spaces.

Zhang, Fang — 2008

The Journal of Nonlinear Sciences and its Applications

Strong convergence of modified implicit iteration processes for common fixed points of nonexpansive mappings.

Zhang, Fang; Su, Yongfu — 2007

Fixed Point Theory and Applications [electronic only]

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