Fixed point theorems for $(\alpha-\psi)$ contractions on multiplicative and partially ordered multiplicative metric spaces K.P.R.SASTRY, K.K.M.SARMA, S.LAKSHMANA RAO

# Fixed point theorems for $(\alpha-\psi)$ contractions on multiplicative and partially ordered multiplicative metric spacesK.P.R.SASTRY, K.K.M.SARMA, S.LAKSHMANA RAO

Abstract: In this paper we introduce the notion of generalized $(\alpha,\psi)-$ contractive mappings on a multiplicative metric space and partially ordered multiplicative metric space and prove some fixed point theorems for such contractions. Also we provide two supporting examples.

Keywords: Multiplicative metric spaces, generalized $(\alpha,\psi)-$ contractive mappings, $\alpha-$admissible mapping, fixed points, partially ordered multiplicative metric space.

K P R Sastry, K K M Sarma and S Lakshmana Rao,  Fixed point theorems for $(\alpha-\psi)$ contractions on multiplicative and partially ordered multiplicative metric spaces, International Journal of Advances in Mathematics, Volume 2018, Number 3, Pages 81-97, 2018.