Implicit Contractive Maps in Ordered Metric Spaces

Fixed Points of Multivalued Nonself Almost Contractions

“…He obtained a fixed point theorem for such mappings which generalized the results of Kannan [40], Chatterjea [41], and Zamfirescu [42]. As shown in [43], the weakly contractive metric-type fixed point result in [12] is "almost" covered by the related altering metric one due to Khan et al [21].…”

Functional Contractive Maps in Triangular Symmetric Spaces

“…Formally, such results are not reducible to the above ones. But, from a technical perspective, this is possible; see Turinici [22] for details.…”

Existence theorem for integral inclusions by a fixed point theorem for multivalued implicit-type contractive mappings

“…The α-admissibility was used to prove interesting fixed point results in [2,26,28] or [27]. In [35], implicit contraction mappings are studied. Later on, the combination of metric fixed point theory and optimization theory enabled discussions on best proximity points of nonself mappings satisfying certain types of proximal contractive conditions on metric spaces or on abstract spaces.…”