Some new fixed point results in \(b\)-metric spaces
The authors obtain fixed point theorems for self mappings satisfying rational-type contraction conditions in \((b)\)-metric spaces. Some results (Theorem 2.3, Corollary 2.5 and Corollary 2.7) are based on rational-type contractive conditions that involve the almost contraction term \(L\cdot d(y,Tx)\), with \(L\geq 0\), first introduced and studied by the reviewer [\textit{V. Berinde}, Nonlinear Anal. Forum 9, No. 1, 43--53 (2004; Zbl 1078.47042)]. No examples are given to illustrate the obtained new results.
scientific article; zbMATH DE number 6911899