Background to point-to-set maps in mathematical programming -- Annex 1 The continuities of the point-to-set maps, definitions and equivalences -- Annex 2 Relaxation methods -- General reference list -- Differentiable stability in non convex and non differentiable programming -- A multivalued approach to the Farkas lemma -- Extensions of the continuity of point-to-set maps: Applications to fixed point algorithms -- Composition and union of general algorithms of optimization -- Modified Lagrangians in convex programming and their generalizations -- Extensions of Zangwillโ{128}{153}s theorem -- On the lower semicontinuity of optimal sets in convex parametric optimization -- A note on the continuity of the solution set of special dual optimization problems -- Asymptotic properties of sequences iteratively generated by point-to-set maps -- Generalized equations and their solutions, Part I: Basic theory -- The fixed point approach to nonlinear programming -- Convergence analysis for two-level algorithms of mathematical programming -- A comparative study of several general convergence conditions for algorithms modeled by point-to-set maps