[PDF] Top 20 Some results on a general iterative method for k-strictly pseudo-contractive mappings

... Let H be a real Hilbert space and C be a nonempty closed convex subset of H. Recall that a mapping f : C ® C is a contraction on C if there exists a constant a Î (0, 1) such that ||f(x) - f(y)|| ≤ a||x - y||, x, y Î C. A ... See full document

... the general iterative method to approximate a common element of the set of solutions of generalized equilibrium problems and the set of common fixed points of a finite family of ... See full document

... new iterative scheme by hybrid method for finding a common element of the set of common fixed points of infinite family of k-strictly pseudocontractive mappings and the set of common ... See full document

... new iterative scheme ...continuous pseudo-contractive mappings which more general than nonexpansive mappings and the solution set of the variational inequality problem of ... See full document

... a general fixed point iteration procedure and started a systematic study of this concept, thus obtaining various stability results for Picard iteration that extended Ostrowski’s theorem to map- pings ... See full document

... an iterative method by a generalized viscosity explicit rule for a countable family of strictly pseudo-contractive mappings in a q-uniformly smooth Banach ...under some ... See full document

... the K-mapping generated by a finite family of strictly pseudo-contractive mappings and finite real numbers modifying the results of Kangtunyakarn and Suantai (Nonlinear ...of ... See full document

... an iterative scheme by using a viscosity hybrid steepest- descent method for finding a common element of the set of variational inequalities, fixed points for an infinite family of strictly ... See full document

... The mappings defined by (.) and (.) are pseudo-contractive mappings, but the mapping defined by ...be pseudo-contractive in general Banach ...the mappings defined ... See full document

... continuous pseudo-contractive mappings more general than nonexpansive mappings and a solution set of the variational inequality problem for continuous monotone mappings more ... See full document

... viscosity iterative process, which converges strongly to a common element of the set of fixed points of a finite family of pseudo-contractive mappings more general than non-expansive ... See full document

... new iterative algorithm by the shrinking projection method for finding a common element of the set of solutions of generalized mixed equilibrium problems, the set of common solutions of general ... See full document

... if k =  and T is said to be strongly pseudocontractive if there exists a positive constant λ ∈ (, ) such that T – λI is ...of k-strictly pseudocontractive mappings falls into the one ... See full document

... the results of Chidume et ...the results of Chidume and Okpala ...the results of Chidume and Ezeora [] (e.g., λ i ∈ (k, ), for all i and T i is continuous ... See full document

... In this section, we use some lemmas that will be used for our main result in the next section. Let C be a nonempty closed convex subset of a real Hilbert space H. We denote weak and strong convergence by 88 * 00 ... See full document

... () Since the class of generalized -accretive maps (generalized -pseudo-contractive maps) includes the class of φ-strongly accretive maps (φ-strongly pseudo-contractive maps), our ... See full document

... We prove the demiclosedness principle and weak convergence theorem of the modified Mann’s algorithm for T in the framework of uniformly convex Banach spaces which have the Fréchet differentiable norm. Moreover, we also ... See full document

... be pseudo-contractive [, ], if there exists j(x – y) ∈ J(x – y) such that Tx – Ty, j(x – y) ≤ x – y  , for all x, y ∈ ...strongly pseudo-contractive, if there exists a constant β ∈ (, ), ... See full document

... nonlinear mappings such as the directed mappings, the quasi-nonexpansive mappings, and the strictly pseudo-contractive map- pings with fixed points as special ... See full document

... for some symmetric continuous functions subject to 0 <r(x, y) ≤ s(x, y)+ln(P-d(Tx, Ty)) if r(x, y) ≠ s(x, y) and 0 < t x, y ≤ s x, y + ln Q − d x, y if t(x, y) ≠ s(x, y) for some real constants α, β , ... See full document