Common fixed point theorems for occasionally weakly compatible maps

关于满足广义条件(B)的弱相容映射的公共不动点

On Common FIXED Points Of Weakly Compatible Mappings Satisfying `Generalized Condition (B)'

本文证明满足广义条件(B)的两个弱相容映射存在公共不动点，推广了Al-Thagafi、Shahzad及Babu等人的相关定理。

基于二元辅助函数的弱相容映射的公共不动点

Common Fixed Points for Weakly Compatible Mappings via Bivariate Auxiliary Functions

本文利用二元辅助函数为两对弱相容自映射建立公共不动点定理，无需映射连续且仅需一个像集完备，从而统一并推广了度量空间中现有的不动点定理。

满足性质(E. A)的弱相容映射的公共不动点定理

A Common Fixed Point Theorem For Weakly Compatible Mappings Satisfying Property (E. A)

本文研究弱相容自映射的公共不动点存在性问题，通过修正Beg和Abbas的相关定理，证明了满足弱压缩条件与性质(E. A)的弱相容自映射对存在公共不动点，改进了已有对应结果。

Common fixed points for $ψ-(α,β, m)$-contraction pairs

In this paper we establish some common fixed point theorem for a new class of pair of contractions mappings, called $ψ-(α,β, m)$-contraction pairs, which we will assume occasionally weakly compatible and satisfying the property (E.A.).

轨道完备度量空间中基于有理 $\phi$-压缩条件的公共不动点

Common Fixed Points via Rational $φ$-Contractive Conditions in Orbitally Complete Metric Spaces

本文利用双变量辅助函数，在轨道完备度量空间中为两对弱相容自映射建立了无需连续性假设的公共不动点定理，推广了现有结果。

Existence of fixed points for pairs of mappings and application to Urysohn integral equations

In this paper, we establish some common fixed point results for two pairs of weakly compatible mappings in the setting of $C$-complex valued metric space. Also, as application of the proved result, we obtain the existence and uniqueness of a common solution of the system of the Urysohn integral equations: \begin{eqnarray*} x(t)=ψ_i(t)+\int_{a}^{b}K_i(t,s,x(s))ds \end{eqnarray*} where $i=1, 2, 3, 4, a,b\in \mathbb{R}$ with $a\leq b, t\in [a,b], x, ψ_i\in C([a,b],\mathbb{R}^n)$ and $K_i:[a,b]\times [a,b]\times \mathbb{R}^n\rightarrow \mathbb{R}^n$ is a mapping for each $i=1, 2, 3, 4$.