Iterative approximation of fixed point forΦ-hemicontractive mapping without Lipschitz assumption
نویسندگان
چکیده
منابع مشابه
Iterative approximation of fixed point for Φ-hemicontractive mapping without Lipschitz assumption
for all x ∈ E, where 〈·,·〉 denotes the generalized duality pairing. It is well known that if E is a uniformly smooth Banach space, then J is single valued and such that J(−x) =−J(x), J(tx) = tJ(x) for all x ∈ E and t ≥ 0; and J is uniformly continuous on any bounded subset of E. In the sequel, we shall denote single-valued normalized duality mapping by j by means of the normalized duality mappi...
متن کاملApproximation of Fixed Points of Strongly Pseudocontractive Maps without Lipschitz Assumption
In the present paper, the following result is shown: Let X be a real Banach space with a uniformly convex dual X∗, and let K be a nonempty closed convex and bounded subset of X. Assume that T : K → K is a continuous strong pseudocontraction. Let {αn}∞n=1 and {βn}∞n=1 be two real sequences satisfying (i) 0 < αn, βn < 1 for all n ≥ 1; (ii) ∑∞ n=1 αn = ∞; and (iii) αn → 0, βn → 0 as n→∞. Then the ...
متن کاملIterative Approximation of Fixed Points of Lipschitz Pseudocontractive Maps
Let E be a q-uniformly smooth Banach space possessing a weakly sequentially continuous duality map (e.g., `p, 1 < p < ∞). Let T be a Lipschitzian pseudocontractive selfmapping of a nonempty closed convex and bounded subset K of E and let ω ∈ K be arbitrary. Then the iteration sequence {zn} defined by z0 ∈ K, zn+1 = (1 − μn+1)ω + μn+1yn; yn = (1 − αn)zn + αnTzn, converges strongly to a fixed poi...
متن کاملOn Fixed Point Results for Hemicontractive-type Multi-valued Mapping, Finite Families of Split Equilibrium and Variational Inequality Problems
In this article, we introduced an iterative scheme for finding a common element of the set of fixed points of a multi-valued hemicontractive-type mapping, the set of common solutions of a finite family of split equilibrium problems and the set of common solutions of a finite family of variational inequality problems in real Hilbert spaces. Moreover, the sequence generated by the proposed algori...
متن کاملFixed point solutions of variational inequalities for a finite family of asymptotically nonexpansive mappings without common fixed point assumption
Let E be a real Banach space with a uniformly Gâteaux differentiable norm and which possesses uniform normal structure, K a nonempty bounded closed convex subset of E, {Ti}i=1 a finite family of asymptotically nonexpansive self-mappings on K with common sequence {kn}∞n=1 ⊂ [1,∞), {tn}, {sn} be two sequences in (0, 1) such that sn + tn = 1 (n ≥ 1) and f be a contraction on K . Under suitable con...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2005
ISSN: 0161-1712,1687-0425
DOI: 10.1155/ijmms.2005.2711