[PDF] Top 20 Asymptotic pointwise contractive type in modular function spaces

... an asymptotic pointwise contraction is of asymptotic pointwise contraction type, but the converse is not true ...weak asymptotic pointwise contraction ... See full document

... of asymptotic nonexpansive mapping have been extensively studied in fixed point theory since the publication of the fundamental paper ...the asymptotic nonexpansive mapping in uniformly convex Banach ... See full document

... of asymptotic pointwise ρ-nonexpansive mappings acting in modular function ...a modular sense) mappings acting in modular function spaces was first established by ... See full document

... Banach spaces has been well developed since the s, see for example [–], and gener- alized to other metric spaces [–], and modular function spaces [, ...like asymptotic ... See full document

... in modular function spaces was initiated after the publication of the paper [] in ...for pointwise contractions and asymptotic pointwise contractions acting in modular ... See full document

... A typical method of proof for the fixed point theorems in Banach and metric spaces is to construct a fixed point by finding an element, on which a specific type function attains its minimum. To be able ... See full document

... of modular spaces was initiated by Nakano [] in connection with the theory of ordered spaces which was further generalized by Musielak and Orlicz [] (see also ...of modular function ... See full document

... in modular functions spaces, to the pointwise asymptotic ...the asymptotic behavior of semigroups in ...in modular function spaces was discussed by Khamsi [] in ... See full document

... of modular space was introduced by Nakano [17] and was intensively developed by Koshi, Shimogaki, Yamamuro (see [14, 19]) and ...of modular space. In 2008, Chistyakov introduced the notion of modular ... See full document

... Remark . Also, note that, by virtue of Theorem . in [], every convex, orthogonally additive function modular ρ has the ρ-a.e. strong Opial property. Let us recall that ρ is called orthogonally ... See full document

... for asymptotic pointwise contractions and asymptotic pointwise nonexpansive mappings in Banach spaces, while Hussain and Khamsi [] extended this result to metric spaces, and ... See full document

... weakly ρ-contractive type map T : C → C has a unique fixed point f ∈ C, and pf, f 0. Proof. Theorem 3.2 ensures the existence of a fixed point f ∈ C, that is, T f f and pf, f 0. Let us show that f is the ... See full document

... Banach spaces is very well developed (see ...metric spaces (see e.g. [6-8]) and modular function spaces (see ...like asymptotic mappings [12,13], pointwise contractions ... See full document

... for all x, y ∈ X, where H is the Hausdorff metric on CB(X), then F has a fixed point in X. A number of extensions and generalizations of Nadler’s theorem were obtained by dif- ferent authors; see, for instance, [, ] and ... See full document

... Remark Recently, Paknazar et al. [] gave the existence of the solutions of the integral equations in modular function spaces. Hajji and Hanebaly [] also applied their fixed point result to obtain ... See full document

... generalize pointwise contractions, asymptotic contractions, asymptotic pointwise contractions, and nonexpansive and asymptotic nonexpansive ...metric spaces and, in particular, ... See full document

... product spaces is also due to Misiak who had studied the same as early as ...n−normed spaces has been extensively made by ...n−metric spaces and n−inner product spaces see for example [18], ... See full document

... consider modular spaces which lie somewhere in between the ab- stract modular theory and Musielak-Orlicz theory, ...of modular spaces given by modulars not of any particular form but, ... See full document

... a modular metric space endowed with a graph. The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces ... See full document

... In the last thirty years, the theory of multivalued functions has advanced in a variety of ways. In 1969, the systematic study of Banach-type fixed theorems of multivalued mappings started with the work of Nadler ... See full document