Twisted $(\alpha , \beta)-\psi-$contractive type mappings and applications in partial ordered metric spaces


Animesh Gupta - H.No. 93/654, Ward No.2, Gandhi Chowk Pachmarhi, Dist. Hoshangabad (M.P.) India
Ram Narayan Yadava - Former Director, Advance Material Process Research Institute, CSIR-AMPRI, Bhopal (M.P.) India
Rashmi Rani - Post Graduate Department of Mathematics, A.S.College for Women, Khanna, Punjab, India
Saurabh Manro - School of Mathematics and Computer Applications, Thapar University, Patiala, Punjab, India


The purpose of this paper is to discuss the existence and uniqueness of fixed points for new classes of mappings defined on a $0-$complete partial ordered metric space. The obtained results generalize some recent theorems in the literature. Several applications and interesting consequences of our theorems are also given.


$\alpha-$admissible mapping, $(\alpha, \beta)-\psi-$contractive type mappings, contractive mapping, cyclic mapping, ordered metric space, functional equations