In this paper, we introduce a new concept of partial rectangular metric-like space and prove some results on the existence and uniqueness of a fixed point of a function T : X ⟶ X , defined on a partial rectangular metric-like space X , which fulfills a nonlinear contractive condition using a comparison function and the diameter of the orbits. The obtained results generalize some previously acknowledged results in partial metric spaces, partial rectangular metric spaces, and rectangular metric-like spaces. The examples presented prove the usefulness of the introduced generalizations.

Waste management is a serious problem in developing countries. Solid waste (SW) statistics provide an indication of compliance with the targets of the Waste Framework Directives (WFD). This paper includes an analysis of specific variables that directly influence trends in the production of SW. Albania is divided into 12 first-level administrative units, counties. The objective of this paper is to concentrate on the geographical areas that provide the most striking results. The analyses use linear regression and Pearson correlation in which the dependent variable is waste generation and the independent variables, geographic, demographic and economic, are among those that are of greatest importance in the production of SW. The specific relationships are highly significant (r > 0.98) and are the input for the IDW interpolation maps. The disaggregated panorama is used to develop policy recommendations for waste management in the affected areas. Prediction of urban waste through a combination of mathematical equations and geographical tools is part of the results of this study.

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