In this paper, we prove some common fixed-point theorems on complex partial metric space. The presented results generalize and expand of the well-known in literature. We also explore applications our key results.

This paper addresses the problem of finding linear quadratic regulator (LQR) weights such that associated discrete-time algebraic Riccati equations admit a common optimal stabilising solution. Solving is key to designing LQR controllers stabilise switched systems under arbitrary switching, or polytopic (e.g., Takagi-Sugeno fuzzy and parameter varying systems) in entire operating region. To ensu...

the purpose of this paper is to propose a compositeiterative scheme for approximating a common solution for a finitefamily of m-accretive operators in a strictly convex banach spacehaving a uniformly gateaux differentiable norm. as a consequence,the strong convergence of the scheme for a common fixed point ofa finite family of pseudocontractive mappings is also obtained.

the purpose of this paper is to propose a compositeiterative scheme for approximating a common solution for a finitefamily of m-accretive operators in a strictly convex banach spacehaving a uniformly gateaux differentiable norm. as a consequence,the strong convergence of the scheme for a common fixed point ofa finite family of pseudocontractive mappings is also obtained.

In this study two actual types of problems are considered and solved: 1) determining the maximum common connected fragment of the T-tree (T-directed tree) which does not change with time; 2) determining all maximum common connected fragments of the T-tree (T-directed tree) which do not change with time. The choice of the primary study of temporal directed trees and trees is justified by the wid...