*Correspondence: nhusain@kau.edu.sa 1Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia Full list of author information is available at the end of theâ€¦ (More)

Fixed point theory is one of fundamental tools of nonlinear functional analysis. Since the fixed point theory has a wide application area in almost all quantitative sciences, many authors have beenâ€¦ (More)

*Correspondence: erdalkarapinar@yahoo.com; ekarapinar@atilim.edu.tr 1Department of Mathematics, Atilim University, Incek, Ankara 06836, Turkey Full list of author information is available at the endâ€¦ (More)

We give a new type of contractive condition that ensures the existence and uniqueness of fixed points and best proximity points in complete metric spaces. We provide an example to validate our bestâ€¦ (More)

Abstract. Recently, Aydi et al. [On fixed point results for Î±-implicit contractions in quasi-metric spaces and consequences, Nonlinear Anal. Model. Control, 21(1):40â€“56, 2016] proved some fixed pointâ€¦ (More)

The aim of this paper is to introduce and study certain new concepts of Î±-Ïˆ -proximal contractions in an intuitionistic fuzzy metric space. Then we establish certain best proximity point theorems forâ€¦ (More)

Partial metric space is a generalized metric space introduced by Matthews 1 in which each object does not necessarily have to have a zero distance from itself. A motivation is to introduce this spaceâ€¦ (More)

The notion of parametric metric spaces being a natural generalization of metric spaces was recently introduced and studied by Hussain et al. [A new approach to fixed point results in triangularâ€¦ (More)