[PDF] Top 20 Fixed Points of Expansive Type Mappings in 2-Banach Spaces

... about fixed points of expansive mapping was initiated by Machuca (see ...discussed fixed points for other forms of expansive mapping (see ...sive mappings in metric ... See full document

... Fixed point theory plays an important role in applications of many branches of mathematics. There has been a number of generalizations of the usual notion of a metric space. One such generalization is a b-metric ... 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

... about fixed points of expansive mapping was initiated by Machuca ...discussed fixed points for other forms of expansive mapping; see ...on expansive mappings in ... See full document

... of 2-metric spaces, and many authors discussed and obtained fixed point or common fixed point theorems on 2-metric spaces, see [15-21] and ...the Banach fixed point ... See full document

... in Banach spaces, the class of nonspreading mappings for a general Banach space and the class of mappings satisfying condition (C) are ... See full document

... metric spaces are equiva- lent to metric spaces in terms of the existence of fixed points of the mappings and successfully established the equivalence between some fixed point ... See full document

... Section 2 for the definition, then f has a fixed point in X see 1, ...Vignoli 2 extended this result to α-condensing mappings acting on a bounded complete metric space see 3 for the ... See full document

... approximating fixed points of nonexpansive mappings and asymptot- ically nonexpansive mappings have been studied by various authors; see, ...nonexpansive mappings in Hilbert ... See full document

... In a uniformly Banach space, Senter and Dotson, Jr., have conditions under which the sequence of Mann types of iterates of a quasi-nonexpansive mapping converges to a fixed point of the mapping in question. ... See full document

... SE, where SE denotes the unit sphere of E. The space E is also said to be strictly convex if x y/2 < 1 whenever x, y ∈ SE and x / y. It is also said to be uniformly convex if for all ε ∈ 0, 2, there ... See full document

... = 1+2a 2 > 1 (for a > 1). For large enough a one can see that the mapping is not a contraction in the sense of Samet et al. [2] with respect to Euclidian metric on X. Again, it is easy to see that ... See full document

... Remark 2 In this paper, we discuss the common fixed point problems for mappings with quasi-contractive type ...(i.e., expansive type) on partially ordered cone metric ... See full document

... It is clear that if 𝑓 is a map which has a fixed point 𝑝 then 𝑝 is also a fixed point of 𝑓 𝑛 for every natural number 𝑛. But the converse is not true, see example [1]. If a map satisfies 𝐹 (𝑓 ) = 𝐹(𝑓 𝑛 ) for each 𝑛 ∈ 𝑁 , ... See full document

... , Banach proved a remarkable and powerful result called the Banach contraction ...in Banach spaces endowed with a ...the Banach contraction principle to mappings on a metric ... See full document

... [7] Z. Opial, Weak convergence of the sequence of successive approximations for nonexpansive mappings, Bull. Amer. Math. Soc. 73 (1967), 591–597. MR 35#2183. Zbl 179.19902. [8] J. Schu, Weak and strong convergence ... See full document

... Remark 2.12 Theorems 2.7 and 2.8 are some other versions of theorems 2.10 and 2.11 on real metric spaces respectively. Although Theorems 2.7 and 2.8 can follow from Theorem 2.4 and theorem D, Theorems 2.10 and ... See full document

... the fixed points set of T , ...its fixed points set is nonempty and kT x − uk 6 kx − uk for all x ∈ K and u ∈ F (T ...1 2 kx − T xk 6 kx − yk implies kT x − T yk 6 kx − yk for all x, y ... See full document

... of mappings (1.6)-(1.7) and prove a couple of fixed point theorems under generalized contraction condition with a different method which in turn generalize fixed point theorem Bose and ... See full document

... approximate fixed points of Suzuki’s generalized non-expansive ...such mappings in uniformly convex Banach ...approximate fixed points of such mappings using Matlab ... See full document