[PDF] Top 20 Approximating fixed points of multivalued ρ-nonexpansive mappings in modular function spaces

... of modular spaces was initiated by Nakano [] in connection with the theory of ordered spaces, which was further generalized by Musielak and Orlicz ...nonlinear mappings is an important ... See full document

... for multivalued Lips- chitzian mappings defined on some subsets of modular metric ...spaces. Modular metric spaces were introduced in [, ...of modular metric spaces ... See full document

... of modular function spaces consists in the richness of struc- ture of modular function spaces, that besides being Banach spaces (or F-spaces in a more gen- eral ... See full document

... results, modular-type conditions are much more natural as modular-type assump- tions can be more easily verified than their metric or norm ...in modular func- tion spaces after the first paper ... See full document

... Theorem 3.2. Let E be a uniformly convex and uniformly smooth Banach space and C be a nonempty, closed and convex subset of E. Let f be a bifunction from C × C to R satisfying (A1)-(A4), A : C → E ∗ a continuous and ... See full document

... In 2000, Noor [16] introduced a three-step iterative scheme and studied the approximate solu- tions of variational inclusion in Hilbert spaces. Suantai [19] defined a new three-step iterations which is an ... See full document

... every nonexpansive single-valued mapping defined on a bounded closed convex subset of a complete CAT0 space always has a fixed ...the fixed point theory for single-valued and multivalued ... See full document

... some fixed points properties and demiclosedness principle for multivalued mean nonexpansive mappings in uniformly convex hyperbolic ...common fixed point of multivalued ... See full document

... fixed points of asymptotic pointwise ρ-nonexpansive mappings acting in modular function ...fixed points of semigroups of nonexpansive (in a modular sense) ... See full document

... A metric space X is a CAT (0) space if it is geodesically connected, and if every geodesic triangle in X is at least as ‘thin’ as its comparison triangle in the Euclidean plane. The precise definition is given below. It ... See full document

... of fixed points for contractive-type and nonexpansive-type multivalued maps in the setting of modular function ...w-modular function and prove fixed point ... See full document

... metric spaces with a graph instead of partial ...to multivalued mappings, but their extension was not carried correctly (see ...fixed points for multivalued mappings in ... See full document

... Since z ∈ A and x – y = dist(x, A), thus y = z. Therefore, y ∈ Fix(t). The following example shows that the class of mappings satisfying condition (K) is strictly wider than the class of quasi-nonexpansive ... See full document

... We introduce a new class of asymptotically nonexpansive mappings and study approxi- mating methods for finding their fixed points. We deal with the Krasnosel’skii-Mann-type iterative process. ... See full document

... A fixed point theorem for two quasi-nonexpansive mappings is proved and is then extended for a finite family of mappings It is shown that results of this paper reduces to those of Ishika[r] ... See full document

... the multivalued version of Banach contraction ...metric fixed point theory of multivalued mappings has been rapidly ...classical fixed point theorems for singlevalued ... See full document

... all fixed points of ...asymptotic fixed point of T (see Reich [23]) if there exists a sequence { z n } in C converging weakly to z and lim n z n − Tz n = ... See full document

... In 1973, Petryshyn and Williamson [8] established a necessary and su ffi cient con- dition for a Mann iterative sequence to converge strongly to a fixed point of a quasi- nonexpansive mapping. Subsequently, ... See full document

... nonempty bounded, closed and convex subset of a uniformly convex Banach space has been recently established by Aoyama and Kohsaka with a non-constructive argument. In this paper, we show that appropriate Ishikawa iterate ... See full document

... We use fixed point theory in many fields of mathematics. One of theese fields is mathematical opti- mization.Dynamic programing is useful for mathematical optimizationand it is related to a multistage process ... See full document