Cone-valued lower semicontinuous maps are used to generalize Cristi-Kirik’s fixed point theorem to Cone metric spaces. The cone under consideration is assumed to be strongly minihedral and normal. First we prove such a type of fixed point theorem in compact cone metric spaces and then generalize to complete cone metric spaces. Some more general results are also obtained in quasicone metric spaces.

We believe that the study of the notions of universal algebra modelled in an arbitarry topos rather than in the category of sets provides a deeper understanding of the real features of the algebraic notions. [2], [3], [4], [S], [6], [7], [13], [14] are some examples of this approach. The lattice Id(L) of ideals of a lattice L (in the category of sets) is an important ingredient of the categ...

Abstract We consider the continued fraction expansion of real numbers under action a nonuniform lattice in $\text {PSL}(2,{\mathbb R})$ and prove metric relations between convergents natural geometric notion good approximations.

Current U.S. and European guidelines recommend coronary artery bypass graft (CABG) over percutaneous coronary intervention (PCI) for multivessel coronary artery disease (CAD) and confer a class IIb (of uncertain benefit) recommendation to PCI for improvement in survival (1,2). Prior studies suggest that the magnitude of clinical benefit attributable to revascularization with either PCI or CABG ...

Software complexity metric is essential for minimizing the cost of software maintenance. Package level and system level complexity cannot be measured without class level complexity. This research addresses the class complexity metrics. This paper studies the existing class complexity metrics and proposes a new class complexity metric CCC (Complete class complexity metric), CCC metric is then an...

In recent years, considerable advances have been made in the study of properties of metric spaces in terms of their doubling dimension. This line of research has not only enhanced our understanding of finite metrics, but has also resulted in many algorithmic applications. However, we still do not understand the interaction between various graph-theoretic (topological) properties of graphs, and ...

In this paper, we explain a new generalized contractive condition for multivalued mappings and prove a fixed point theorem in metric spaces (not necessary complete) which extends some well-known results in the literature. Finally, as an application, we prove that a multivalued function satisfying a general linear functional inclusion admits a unique selection fulfilling the corresp...