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

Volume 4, Issue 2, pp 137--148 Publication Date: 2017-12-20

### Authors

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

### Abstract

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.

### Keywords

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

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