Some results on fixed points — IV

Fixed points of asymptotically regular multivalued mappings

“…Such a mapping T is not a special case of the mapping considered in Section 1. In 1968 Kannan [17] had established a fixed point theorem for a single valued mapping T defined on a complete metric space X satisfying…”

Some fixed point theorems

“…https://doi.org/10.1017/S144678870003648X [6] Some fixed point theorems 309 With Bailey's result in the background the following theorem generalizes Edelstein's assertion that any contractive operator T on a metric space with a convergent subsequence of T-iterates has a fixed point. THEOREM …”

“…The hypotheses on the operator were motivated by the extension of the fixed point theorem of Kannan [6] PROOF. Let r be inf{/?…”

Nonlinear contractions and fixed point theorems with modified ω-distance mappings in complete quasi metric spaces

“…A self-mapping T on a metric space (X, d) is called Kannan contraction if there is a k ∈ [0, Kannan [14] proved that every Kannan contraction in a complete metric space has a unique fixed point. It is worth mentioning that Kannans theorem is an important result since it characterizes the metric completeness (see [20]).…”