Dynamic processes and fixed points of set-valued nonlinear contractions in cone metric spaces

By D. Klim, Dariusz Wardowski. 2009

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On cone metric spaces: A survey (2011, background): “Soon after this work many articles concerned with cone spaces with normal cones appeared (see [9–53]).”
Fixed point theorems for multivalued maps in cone metric spaces (2011, background): “(3) In [26-28], the authors do not use the concept of the Hausdorff metric on cone metric spaces, and their results cannot be applied directly to obtain the following corollaries 2.”
Fixed points of generalized α-ψ-contractions (2014, methodology): “In fact, for each x, y ∈ [0, 1] with x ≤ y we have 2× |x − y| = α(x, y)d(T x, T y) ≤ ψ(M(x, y)) = 1 2 × 8 = 4.”