[PDF] Top 20 Convergence theorems for fixed points of uniformly continuous Φ-pseudo-contractive-type operator

... An operator A : D(A) ⊆ E → E is called strongly accretive if there exists some k >  such that for each x, y ∈ D(A), there exists j(x – y) ∈ J(x – y) such ... See full document

... some fixed points properties and demiclosedness principle for a Banach opera- tor in uniformly convex hyperbolic ...a fixed point of a Banach operator and establish some strong and ... See full document

... 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 ...considered ... See full document

... weak convergence of Krasnoselski-Mann iterative process and Ishikawa iterative process, so called hybrid projections have been considered; see [14-20] for more details and the references ... See full document

... Let D be an open subset of a real uniformly smooth Banach space E. Suppose T : ¯ D → E is a demicontinuous pseudocontractive mapping satisfying an appropriate condition, where ¯ D denotes the closure of D. Then, ... See full document

... accretive operator and fixed points problems in a reflexive Banach space with weakly continuous duality ...Strong convergence of the sequence {x n } defined by the new introduced ... See full document

... where E ∗ denotes the dual space of E and ·, · denotes the generalized duality pairing. In the sequel, we denote a single-valued normalized duality mapping by j. Throughout this paper, we use F T to denote the set of ... See full document

... strong convergence theorems of an implicit iteration process with errors to converge to common fixed points for a finite family of uniformly L-Lipschitzian total asymptotically ... See full document

... Convergence theorems have been proved in real Hilbert spaces for multi-valued non- expansive mappings T under the assumption that T satisfies Condition (I) (see, ...such theorems to multi-valued ... See full document

... Theorem CC [] Let E be a real normed linear space, K be a nonempty subset of E and T : K → E be a uniformly continuous generalized -hemi-contractive mapping, i.e., there exist x ∗ ∈ K and a ... See full document

... The class of asymptotically nonexpansive mappings was introduced by Goebel and Kirk 3 as a generalization of the class of nonexpansive mappings. They proved that if C is a nonempty closed convex bounded subset of a real ... See full document

... fixed points as an important branch of functional analysis is a bridge be- tween nonlinear functional analysis and ...fixed points constitutes now a topic of intensive research ...fixed points of ... See full document

... Fixed point theorems involving more general contractive conditions proved by I. Altun, P. Vijayaraju, A. Djoudi, [see,[3, 4, 5]]. Sessa [6], with the notion of weakly commuting mappings, weakened the ... See full document

... It remains to show that the space (R 3 , ||| · |||) is uniformly convex. Let us consider its dual space (R 3 ,||| · |||*). The norm ||| · ||| is strictly convex, then ||| · |||* is Geteaux dif- ferentiable [9,10]. ... See full document

... In this paper we prove a fixed point theorems of ( , )   Uniformly Locally Contractive map of T- Orbitally Complete Metric space by using contractive condition by generalizi[r] ... See full document

... There have appeared many common fixed point theorems of mappings with some contractive conditions on 2-metric spaces. But most of them held under subsidiary conditions [1-2], for examples; ... See full document

... and convergence of fixed points for the class of ...of fixed point for a continuous and strong pseudocontraction in a nonempty closed convex subset of Banach ... See full document

... weak convergence theorems for this class of nonlinear ...strong convergence theorem without any compact assumption by considering the so-called hybrid projection ... See full document

... The contractive conditions on underlying functions play an important role for finding solutions of metric fixed point ...of fixed point in b–metric spaces (see, [3, 6, 8, 9, 11, 13, 14] and the ... See full document

... Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process, Journal of Mathematical Analysis and Applications 178 (1993), ... See full document