Affiliations: [a] School of Mathematics, Thapar Institute of Engineering and Technology, Patiala, Punjab, India
| [b] School of Mathematics, Thapar Institute of Engineering and Technology, Patiala, Punjab, India
| [c] Department of Mathematics, Maharishi Markandeshwar, Deemed to be University, Mullana, Haryana, India
Correspondence:
[*]
Corresponding author. Vishal Gupta, Department of Mathematics, Maharishi Markandeshwar, Deemed to be University, Mullana, Haryana, India. E-mail: vgupta@mmumullana.org.
Abstract: In the present article, the concept of expansion is extended in a refined manner by introducing
P
-expansion defined on a family
F
of bounded functions. Some fixed function theorems using expansive mappings in complete metric spaces are investigated. These results improve and generalize various results existing in literature. The authenticity of obtained results is verified with the help of some comparative examples. In addition, an application has also been presented which is based on the best approximation of dose distribution for a number of patients (at a same time) getting Tomotherapy.
