偏序度量空间中耦合不动点定理的推广

Promotion of Coupled Fixed Point Theorem in Partially Ordered Metric Spaces

摘要:

本文在偏序度量空间中建立了新的耦合重合点定理和耦合共同不动点定理, 并用所证得的耦合共同不动点定理证明了分数阶 Volterra 积分方程解的存在唯一性.

Abstract:

In this paper, we first establish new coupled coincidence and coupled common fixed point theorems in partially ordered metric spaces, and then apply the new coupled common fixed point theorem to prove the existence and uniqueness of solutions to fractional Volterra integral equations.