Generalized Suzuki (\psi,\phi)-contraction in complete metric spaces

In this paper, we introduce the concept of (\psi, \phi)-Suzuki and (\psi, \phi)-Jungck-Suzuki contraction type mappings and we establish the existence, uniqueness and coincidence results for (\psi, \phi)-Suzuki and (\psi, \phi)-Jungck-Suzuki contraction mappings in the frame work of complete metric spaces. As an application, we apply our result to find the existence and uniqueness of solutions of a differential equation.

کلیدواژه ها:

(psi ، phi)-Suzuki-type mapping ، Fixed point ، (psi ، phi)-Jungck-Suzuki mapping ، Coincidence point ، metric space