[PDF] Top 20 Banach operator pairs and common fixed points in modular function spaces

... provided that the intersection of any finite subfamily has a nonempty intersection. Such intersection property is known as property (R). This intersection property is par- allel to the well-known fact that uniformly ... See full document

... in modular function spaces and the sequence of the algorithm is proved to be a common ρ-approximate fixed point ...to common fixed points of finite family of ... See full document

... the Banach spaces, while Hussain and Khamsi extended this result to metric spaces [] and Khamsi and Kozlowski to modular function spaces [, ...fixed points of some ... See full document

... all common fixed points for a continuous nonexpansive semigroup of nonlinear mappings acting in modular function spaces can be represented as an intersection of fixed points sets ... See full document

... of modular spaces was initiated by Nakano [] in connection with the theory of order spaces which was further generalized by Musielak and Orlicz ...fixed points of mappings on complete metric ... See full document

... of common fixed points of map- pings defined on subsets of modular vector spaces, as introduced by Nakano [] which are natural generalizations of many classical function ...The ... See full document

... contraction pairs is established. We also give some common fixed point theorems for weakly commut- ing pairs as well as Banach operator pairs in a convex metric space which are ... See full document

... “Common fixed points and invariant approximation for Gregus type contraction mappings,” Rendiconti del Circolo Matematico di Palermo, ...“Common fixed points and invariant ... See full document

... fixed points for multivalued nonexpansive mappings in uniformly convex Banach spaces was proved by Lim ...fixed points of multivalued nonexpansive mappings in Banach ... See full document

... Let K be a nonempty subset of an arbitrary Banach space X, and let X ∗ be its dual space. Let T : X → X be an operator. The symbols D(T ) and R(T ) stand for the domain and the range of T , respectively. We ... See full document

... Fixed point theorems for monotone single-valued mappings in a metric space endowed with a partial ordering have been widely investigated. These theorems are hybrids of the two most fundamental and useful theorems ... See full document

... mappings forms a semigroup if T()x = x and T (s + t)x = T (s)T (t). Such a situation is quite typical in mathematics and applications. For instance, in the theory of dynamical systems, the vector function space ... See full document

... a common fixed point theory for nonexpansive mappings defined on some subsets of modular function ...These spaces are natural generalizations of both function and sequence ... See full document

... relatively compact in the norm topology of E. We will call a subspace X of l ∞ S, S-stable if the functions s → T sx, x ∗ and s → Tsx − y on S are in X for all x, y ∈ C and x ∗ ∈ E ∗ . We know that if μ is a mean on X ... 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 results for ... See full document

... Example 2.2 see 18, 22. Let 0, 1 be the unit interval with the usual norm and let T : 0, 1 → 0, 1 be given by Tx 2/3 for all x ∈ 0, 1 and T 1 0. Then T satisfies the inequality 2.1 with 1 > θ ≥ 2/3 and L ≥ θ and T has ... See full document

... For an extensive bibliography one is referred to Ieki [6].* In this note, some fixed point theorems for certain involutions in 2-Banach spaces have been obtained which can be viewed as a[r] ... See full document

... Let X be a modular space. Consider a directed graph G with V (G) = X and E(G) ⊇ {(x, x) : x ∈ X}, i.e., E(G) contains all loops. Suppose further that G has no parallel edges. With these assumptions, we may denote ... See full document

... Chen, “Iterative approximation to common fixed points of nonexpansive mapping se- quences in reflexive Banach spaces,” Nonlinear Analysis: Theory, Methods & Applications , vol. Khan,[r] ... See full document

... We introduce a new one-step iterative process and use it to approximate the common fixed points of two asymptotically nonexpansive mappings through some weak and strong convergence theorems. Our ... See full document