Iterative approximation to common best proximity points of proximally mean nonexpansive mappings in Banach spaces

Results on relative controllability for nonlinear system with multi‐delays in control

“…In respect to linear delay differential control systems, we introduce the idea of a delayed control Grammian matrix and show how it correlates with the relative controllability of linear delayed control systems through its non-singular property [34]. Similarly, in the process of assessing whether or not a nonlinear system with delays in state or control can be controlled, fixed point arguments are commonly used [8,[35][36][37]. Solutions to numerous problems in science and engineering are found by reducing them to an equivalent fixed-point problem.…”

Thakur’s Iterative Scheme for Approximating Common Fixed Points to a Pair of Relatively Nonexpansive Mappings

“…Also, Gopi et al [15] found a common fixed point for a pair of relatively nonexpansive mappings and found a common best proximity point for a pair of non-self relatively nonexpansive mappings via the Ishikawa iterative process. And, Pragadeeswarar et al [16] proved the convergence of a common best proximity point for a pair of mean nonexpansive mappings.…”

Approximating Fixed Points of Relatively Nonexpansive Mappings via Thakur Iteration

“…Gopi et al [9] also approximated the common fixed point via Ishikawa iterative process. Pragadeeswarar et al [10] approximated the common best proximity point for a pair of mean nonexpansive mappings. In 2020, Gabeleh et al [11] introduced a geometric notion of proximal Opial's condition on a nonempty, closed and convex pair of subsets of strictly convex Banach spaces and proved the strong and weak convergence of the Ishikawa iterative scheme for noncyclic relatively nonexpansive mappings in uniformly convex Banach spaces.…”