security is one of the most critical factors affecting the quality of urban spaces. nowadays, most of these spaces have become merely pathways with neither social life nor sense of belonging to it. insufficiency of public surveillance along with weak sense of control and surveillance results in spaces with high crime rate. in the late 60s and early 70s, high crime statistics in open urban space...

In this paper, we introduce the concept of a w-compatible mappings and utilize the same to discuss the ideas of coupled coincidence point and coupled point of coincidence for nonlinear contractive mappings in the context of complex valued metric spaces besides proving existence theorems which are following by corresponding unique coupled common fixed point theorems for such mappings. Some illus...

Background Specialist nurses often collaborate with researchers to facilitate recruitment of adult NHS patients, yet little is known about their experiences of inviting participation to research studies. It is well documented that clinical staff involved with recruitment often do not invite all potentially eligible patients, leading to underrecruitment and selection bias. Many barriers and faci...

Acknowledgments I thank my thesis advisor Prof. Ludwig Elsner for his careful guidance. He allowed me to pursue my own ideas, while constantly checking if I was on the right track. He always had time to talk and to listen, made numerous suggestions and gave important input. My work beneets strongly from his professional experience. I am grateful to Prof. Paul Saylor, whom I met during my time a...

It is widely recognized that the work of Ramanujan deeply influenced the direction of modern number theory. This influence resonates clearly in the “Ramanujan conjectures.” Here I will explore another part of his work whose position within number theory seems to be less well understood, even though it is more elementary, namely that related to continued fractions. I will concentrate on the spec...