[PDF] Top 20 Convergence theorems for equilibrium problem and asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense

... is asymptotically nonexpansive in the intermediate sense, then T has a fixed point (see ...of mappings which are asymptoti- cally nonexpansive in the intermediate ... See full document

... mixed equilibrium problems with a relaxed η - α -monotone mapping and a nonlinear operator equation involving an infinite family of asymptotically quasi- φ -nonexpansive mappings in the ... See full document

... an asymptotically quasi- j -nonexpansive mapping and in the solution set of an equilibrium ...Strong convergence theorems of common elements are established in a uniformly smooth ... See full document

... relatively quasi-nonexpansive mappings and the set of solutions to an equilibrium problem in a uniformly smooth and uniformly convex real Banach space: x  ∈ C, C  = C, x  = f C  x  ... See full document

... the equilibrium problem and fixed point problems of asymptotically quasi-φ -nonexpansive mappings in the inter- mediate ... See full document

... minimax theorems and in certain applica- tions to mechanics and economic theory; see [–] and the references ...an equilibrium problem, which is known as the Ky Fan inequality, and a nonlinear ... See full document

... solution problem is investigated based on a projection ...Strong convergence theorems for common solutions of a system of equilibrium problems and a family of asymptotically ... See full document

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

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

... of nonexpansive mappings (asymptot- ically nonexpansive mappings) and of common fixed points of nonexpansive semi-groups (asymptotically nonexpansive semigroups) is an ... See full document

... the problem (1.1) is very general in the sense that numerous pro- blems in physics, optimization, and economics reduce to finding a solution of ...mixed equilibrium problem in Banach space ... See full document

... nonlinear mappings of nonexpansive ...of mappings of nonexpansive ...the problem of iterative algorithms for mappings of nonexpansive type which converge to some fixed ... See full document

... Corollary 3.4. Let C be a nonempty closed and convex subset of a 2-uniformly convex and uniformly smooth Banach space E. Let A be an a-inverse-strongly monotone map- ping of C into E* satisfying ||Ay|| ≤ ||Ay - Au||, ∀y ... See full document

... of asymptotically quasi-φ- nonexpansive mappings and asymptotically quasi-φ-nonexpansive mappings in the in- termediate sense based on projection algorithms; ... See full document

... of quasi- φ -asymptotically nonexpansive mappings in the intermediate sense in Banach ...strong convergence theorem of the iterative sequence generated by the proposed ... See full document

... strong convergence theorem; for more details, see [] and the references ...the equilibrium problem and fixed points of generalized asymptoti- cally quasi-φ-nonexpansive ...strong ... See full document

... Adding up the above inequalities, we obtain that p = q. This completes the proof. Remark . In the case that T and f are non-self mappings, we remark that the results of Lemma . and Theorem . still hold under ... See full document

... convergence theorem in a real uniformly smooth and strictly convex Banach space with Kadec-Klee property. In order to get the theorems, the hybrid algorithms are presented and are used to approximate the ... See full document

... tively nonexpansive mappings based on hybrid projection ...strong convergence theorem was established in a uniformly convex and uniformly smooth Banach ... See full document

... a nonexpansive mapping with a nonempty fixed point set, A : C → H be an α-Lipschitz con- tinuous and monotone mapping, and B : C → H be a β -inverse-strongly monotone map- ... See full document