# Fixed point theorems satisfying $C^{\psi}_{\beta}-$ condition and application to boundary value problem

Volume 3, Issue 1, pp 26-34 Publication Date: 2018-04-19

### Authors

Vishal Vishal Gupta - Department of Mathematics, Maharishi Markandeshwar University, Mullana-133207, Ambala, Haryana, India
Naveen Mani - Department of Mathematics, Maharishi Markandeshwar University, Mullana-133207, Ambala, Haryana, India
Aditya Kaushik - University Institute of Engineering and Technology, Punjab University, Chandigarh

### Abstract

In this paper, $C^{\psi}_{\beta}$-condition is defined and the existence and uniqueness of fixed points using this condition are discussed on metric spaces as well as on partially ordered metric spaces. As an application, we apply our result on a first order periodic boundary value problem to find its solution.

### Keywords

Fixed point \$C^{\psi}_{\beta}-condition