A New Iterative Method for Solving Split Feasibility Problem

On Berinde’s method for comparing iterative processes

“…Suppose that for two fixed point iteration procedures {u n } ∞ n=0 and {v n } ∞ n=0 , both converging to the same fixed point p, the error estimates This concept turned out to be a very useful and versatile tool in studying the fixed point iterative schemes and hence various authors have used it, see [1]- [5], [18], [22], [23], [28], [32]- [34], [37]- [41], [40], [43]- [46], [55]- [57], [66], [68]- [72], [74], [78]- [81], to cite just an incomplete list. b…”

Inertial hybrid self-adaptive subgradient extragradient method for fixed point of quasi$-\phi-$nonexpansive multivalued mappings and equilibrium problem

“…Due to their importance, various methods have been imployed to approximate solutions of equilibrium and xed point problems (see, for example, [3,18,19,35,36] and the references contained therein). One of the common methods use is the proximal point method in which the convergence analysis has been considered when the bifunction g is monotone see [26].…”

On Convergence Theorems for Generalized Alpha Nonexpansive Mappings in Banach Spaces

“…As an application, fixed point theory of nonexpansive mapping and its generalization has many applications in different fields such as applications of nonexpansive mapping to solve an integral equation (see [18]) and to solve a variational inequality problem (see [19]). Also, there are applications of some classes of generalized nonexpansive mappings like quasi-nonexpansive mappings under contraction to find the minimum norm fixed point and generalized α-nonexpansive mappings to solve split feasibility problem (see [20,21]).…”