Some new common fixed point theorems are established under strict contractive conditions for weakly compatible mappings satisfying the property(E.

The concept of short consistency degrees of finite theories is introduced based on whether theories Γ can infer A and ┐A synchronously,its properties are discussed,and a series of rules are given to estimate its bigness and smallness.

By using the concept of weakly compatible self-mappings in metric spaces,the existence of common fixed point of weakly compatible mappings in complete metric spaces is considered.

This dissertation deals with some new fixed point theorems in Menger probabilistic metric spaces, which include common fixed point theorems of weakly compatible mappings under strict contractive conditions and common fixed point theorems of compatible and weakly compatible mappings underφ-contractive conditions.

The concepts of compatible mappings and weakly compatible mappings in multi-valued case in Menger PM-spaces were introduced,and the relation between them was studied.

Research on Compatibility Based on Inadequate Information System;

Antinomy and Compatibility of Syntactic Structure and Semantic Meaning from Monosyllabic Adjective;

The compatibility decision-making list inductive learning is an important field in where the rough set theory is used,Base on to consistent decision-making list,lodging a new kind of deduce means.