[PDF] Top 20 A new technique for convergence theorem of fixed point problem of quasi-nonexpansive mapping
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A new technique for convergence theorem of fixed point problem of quasi-nonexpansive mapping
... and ω ∈ (0, 1 2 ) in the framework of Hilbert space. By using our main result, we obtain a strong convergence theorem involving a finite family of nonspreading mappings and another corollary. Moreover, we ... See full document
19
Algorithmic and analytical approach to the split common fixed points problem
... split problem, especially the split common fixed point problem, has been studied by many ...fixed point problem for the pseudo-contractive mappings and the ... See full document
10
A new iterative algorithm for split solution problems of quasi nonexpansive mappings
... feasibility problem and the convex feasibility problem are useful to some areas of applied mathematics such as image recovery, convex optimization, and so ...fixed point problem ...fixed ... See full document
12
A strong convergence theorem for fixed points of generalized asymptotically quasi-ϕ-nonexpansive mappings
... asymptotically nonexpansive mappings was introduced by Goebel and Kirk [] in ...asymptotically nonexpansive self-mapping T on C has a fixed ...fixed point set of T is closed and ...strong ... See full document
16
Strong convergence theorems for fixed points of nonlinear mappings
... Recently, fixed point iterations of relatively nonexpansive mappings and quasi-φ -nonexpansive mappings have been considered by many authors; see, for example [1-12] and the references ... See full document
8
Strong Convergence Theorem by Monotone Hybrid Algorithm for Equilibrium Problems, Hemirelatively Nonexpansive Mappings, and Maximal Monotone Operators
... strong convergence theorem for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a hemirelatively nonexpansive mapping and ... See full document
12
Strong convergence theorems for quasi nonexpansive mappings and maximal monotone operators in Hilbert spaces
... a new iterative scheme for finding a common ele- ment of the fixed-point set of a quasi-nonexpansive mapping and the zero set of the sums of maximal monotone operators, and we prove ... See full document
12
Convergence of Hybrid Fixed Point for a Pair of Nonlinear Mappings in Banach Spaces
... hybrid fixed point of a modified two-step iteration process with errors for a pair of asymptotically quasi-nonexpansive mapping and asymptotically quasi-nonexpansive ... See full document
10
A New Strong Convergence Theorem for Equilibrium Problems and Fixed Point Problems in Banach Spaces
... a new iterative sequence for finding a common element of the set of fixed points of a relatively nonexpansive mapping and the set of solutions of an equilibrium problem in a Banach ... See full document
14
A strong convergence theorem on solving common solutions for generalized equilibrium problems and fixed-point problems in Banach space
... of fixed points of mappings and/or the set of solutions of variational inequalities) with their applications have been dis- ...weak convergence theorems on common solution pro- blems in Hilbert ... See full document
13
Iterative algorithms for finding a common solution of system of the set of variational inclusion problems and the set of fixed point problems
... a new mapping generated by infinite family of nonexpansive mapping and infinite real ...the new mapping, we prove a strong convergence theorem for finding a common ... See full document
16
Proximal point algorithms for zero points of nonlinear operators
... inclusion problem to a fixed point problem of the opera- tor R A : H → H defined by R A = (I + A) – , which is called the classical resolvent of ... See full document
11
An algorithm for treating asymptotically strict pseudocontractions and monotone operators
... function. Convergence theorems are established in the framework of real Hilbert spaces; for more details, see ...zero point problems of the sum of two monotone map- pings and fixed point problems of a ... See full document
14
Uniformly closed replaced AKTT or ∗AKTT condition to get strong convergence theorems for a countable family of relatively quasi-nonexpansive mappings and systems of equilibrium problems
... equilibrium problem is to find x ∗ ∈ C such that F(x ∗ , y) ≥ , for all y ∈ ...equilibrium problem by ...equilibrium problem. The equilibrium problems include fixed point problems, optimization ... See full document
17
A modified Mann iteration for zero points of accretive operators
... whose solutions correspond to the equilibrium points of (.). An early fundamental result in the theory of accretive operators, due to Browder [], states that the initial value prob- lem (.) is solvable if A is ... See full document
11
Projection algorithms for treating asymptotically quasi ϕ nonexpansive mappings in the intermediate sense
... fixed point problems of asymptotically quasi-φ- nonexpansive mappings and asymptotically quasi-φ-nonexpansive mappings in the in- termediate sense based on projection algorithms; for ... See full document
15
A strong convergence theorem of common elements in Hilbert spaces
... weak convergence for nonexpansive mappings in infinite dimension spaces; see [] and the reference ...fixed point problems and variational inequalities based on the hybrid projection ... See full document
16
On split common solution problems: new nonlinear feasible algorithms, strong convergence results and their applications
... Some new strong convergence theorems of feasible iterative algorithms for SCSP are established in Section ...our new results are given in Section ... See full document
16
On generalized quasi-ϕ-nonexpansive mappings and their projection algorithms
... Corollary . Let E be a uniformly smooth and strictly convex Banach space which also enjoys the Kadec-Klee property. Let C be a nonempty closed and convex subset of E. Let f be a bifunction from C × C to R satisfying ... See full document
13
Hybrid projection methods for a bifunction and relatively asymptotically nonexpansive mappings
... Corollary . Let E be a uniformly smooth and uniformly convex Banach space, and let C be a nonempty closed and convex subset of E. Let F be a bifunction from C × C to R satisfying (A)-(A). Let T : C → C be a ... See full document
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