Hira Yousaf2025-11-222025-11-222022-12-29https://escholar.umt.edu.pk/handle/123456789/11996The motive of this dissertation is to explore the existence of best proximity points for more general contraction conditions in the context of b-quasi metric spaces. Czerwik introduced b-metric space which is more general than metric space. Many authors generalized metric space and quasi metric space. A quasi metric space is a distance function which is asymmetric unlike the metric which is symmetric. Apart from generalization of metric space, quasi metric space induce a partial order, which is an important tool for mathematics and related discipline. In this study, the first part consists of a review of some ordered rational proximal contraction type results for the sake of completeness. In the second part we introduced generalized rational proximal contraction in the frame of references of b-quasi metric space. Results presented in this thesis generalized and extended many results in existing literature. Our results extend many best proximity point theorems on partially ordered b-quasi space including the well known banach contraction principal. We present some examples to manifest the generality of our conclusion.enThesis