An algorithm for the split feasible problem and image restoration

Common Fixed Point Theorems for Novel Admissible Contraction with Applications in Fractional and Ordinary Differential Equations

“…Taking n → ∞ yields d(gc 0 , f c 0 ) = 0 due to (11) and the continuity of f and g. Therefore, gc 0 = f c 0 . That is, c 0 is a coincidence point of f and g. Next, if assumption (b) is true, according to ( 5) and ( 10), we have α(gx n , gx) ≥ 1 for every n ∈ N.…”

“…In many disciplines, fixed point theory has been utilized in various approaches. For instance, the existence of a solution to nonlinear integral equations (see [1] for an example), the existence and uniqueness topics for a solution of differential equations, and integral equations involving Caputo-type fractional operators (see, for instance, [2,3]), problems in signal recovery under some obscured filters (see [4][5][6][7]), image restoration problems (see [8][9][10][11][12] for more details), the study of the convergence of iterative methods (see [13][14][15][16][17] for some decent work in this field), and many other branches of mathematics.…”

Approximation of fixed points for Garcia-Falset mappings in a uniformly convex Banach space

“…Many problems in various elds, such as image reconstruction [12,14,23] and signal processing [1,13,20,21,22,24], can be modeled as xed point problems. Numerous authors have presented various iterative approaches for xed point numerical approximation.…”