... b, c-contraction on a completemetric space has at least one fixed point see 3.In a recent paper Petrus¸el and Rus introduced the concept of “theory of a metric fixedpoint theorem” and used ... upper semicontinuous, then TY ∈ PcpX, for every Y ∈ PcpX;b the continuity of T implies the continuity of T : PcpX → PcpX. The set of all nonempty invariant subsets of T is ... “Sequences of contractive maps and fixed points,” Pacific Journal of Mathematics, vol. 31, pp. 659–667, 1969.27J. Jachymski and I. J´ozwik, “Nonlinear contractive conditions: a comparison and related...