Robert Plebaniak

Convergence theorems, best approximation and best proximity for set-valued dynamic systems of relatively quasi-asymptotic contractions in cone uniform spaces

Kazimierz Włodarczyk, Robert Plebaniak, Cezary Obczyński · Nonlinear Analysis · 2009 · 88 citations

Natural Sciences, Mathematics, Dynamical Systems +15

Best proximity points for cyclic and noncyclic set-valued relatively quasi-asymptotic contractions in uniform spaces

Kazimierz Włodarczyk, Robert Plebaniak, Artur Banach · Nonlinear Analysis · 2008 · 79 citations

Natural Sciences, Mathematics, Set Theory +9

Maximality Principle and General Results of Ekeland and Caristi Types without Lower Semicontinuity Assumptions in Cone Uniform Spaces with Generalized Pseudodistances

Kazimierz Włodarczyk, Robert Plebaniak · Fixed Point Theory and Applications · 2010 · 38 citations · Full text

Natural Sciences, Mathematics, Computational Geometry +7

Cone uniform, cone locally convex and cone metric spaces, endpoints, set-valued dynamic systems and quasi-asymptotic contractions

Kazimierz Włodarczyk, Robert Plebaniak, Mariusz Doliński · Nonlinear Analysis · 2009 · 33 citations

Natural Sciences, Mathematics, Dynamical Systems +11

Existence and uniqueness of endpoints of closed set-valued asymptotic contractions in metric spaces

Kazimierz Włodarczyk, D. Klim, Robert Plebaniak · Journal of Mathematical Analysis and Applications · 2006 · 33 citations

Natural Sciences, Mathematics, Set Theory +8