[PDF] Top 20 Strong convergence theorems of general split equality problems for quasi nonexpansive mappings

... quasi-nonexpansive mappings in Hilbert spaces. As an application, we shall utilize our results to study the null point problem of maximal monotone operators, the split feasibility problem, and ... See full document

... the split feasibility problem and the convex feasibility problem are useful to some areas of applied mathematics such as image recovery, convex optimization, and so ...the split common fixed point problem ... See full document

... Huang, Strong convergence theorems for fixed point problems and generalized equilibrium problems of three relatively quasi-nonexpansive mappings in Banach spaces, J.. Zhou, Approximate p[r] ... See full document

... JK: Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi- φ -nonexpansive ...strongly ... See full document

... (SFP). Moudafi [6] introduced an iteration process to establish a weak convergence the- orem for split equality feasibility problem under suitable assumptions. The (SEFP) has many applications such as ... See full document

... more general nonexpansive mappings, the Picard iterative algo- rithm fails to converge to fixed points of nonexpansive mappings even if they enjoy fixed ...of nonexpansive ... See full document

... a strong convergence theorem; for more details, see [] and the references ...cally quasi-φ-nonexpansive mappings. A strong convergence theorem is established in a Banach ... See full document

... asymptotically quasi- φ -nonexpansive mappings in the intermediate sense and an equilibrium ...problem. Strong convergence theorems of common solutions are established in a ... See full document

... JK: Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi- φ -nonexpansive ...for ... See full document

... of nonexpansive mappings and their ...weak convergence for nonexpansive mappings only; see [] and [] for the classic weak con- vergence ...[], problems arise in infinite ... See full document

... The theory of iterative algorithms is a popular research topic of common interest in two areas of nonlinear analysis and optimization. Applications of iterative algorithms are found in a wide range of areas, including ... See full document

... element problems of the generalized equilibrium problem (.) and quasi-nonexpansive mappings based on the shrinking projection algo- ...A strong convergence theorem of common ... See full document

... consider split equality fixed point problem (.) for the class of quasi-pseudo-contractive mappings which is more general than the classes of quasi-nonexpansive ... See full document

... equilibrium problems and mixed equilibrium problems have been important tools for solving problems arising in the fields of linear or nonlinear program- ming, complementary problems, ... See full document

... of problems are related implicitly or explicitly to many areas, such as engineering, science optimization, economics, transportation, network and structural analysis, Nash equilibrium problems in ... See full document

... relatively nonexpansive mappings and quasi-φ -nonexpansive mappings have been considered by many authors; see, for example [1-12] and the references ...point problems of a single ... See full document

... algorithm. Strong convergence theorems for common solutions of a system of equilibrium problems and a family of asymptotically quasi- φ -nonexpansive mappings are ... See full document

... solution problems of monotone variational ...optimization problems and has extensively been studied; see [–] and the references ...solving split feasibility problems which find applications ... See full document

... important problems have reformulations which require finding zero points, for instance, evolution equations, complementarity problems, mini-max problems, variational inequalities and optimization ... See full document

... the quasi-φ -asymptotically nonexpansive mappings in the intermediate sense in a reflective, strictly convex and smooth Banach space such that both E and E ∗ have the Kadec-Klee ... See full document