[PDF] Top 20 Fixed Point Theorems for ws-Compact Mappings in Banach Spaces

... proves that FrB is relatively compact. From 2.25, it readily follows that B is relatively compact. Consequently, B B is compact. We now show that B ∩ Q / ∅. To do this, we argue by contradiction. ... See full document

... some fixed point theorems for mappings of asymptotically nonexpansive type, which are more general than the previous ...a fixed point theorem for a mapping of asymptotically ... See full document

... the point of view of fixed point theorem for the class of closed convex subset C , λ -firmly nonexpansive mappings T : C → C do not exhibit better behavior than nonexpansive mappings ... See full document

... Theorem . was proved for a commutative semigroup by DeMarr []. Later in [], Lau showed that the fixed point property is equivalent to the existence of a left invariant mean on AP( ), the space of almost ... See full document

... Krasnoselskii’s fixed point theorem has a wide range of applications to nonlinear integral equations of mixed type (see ...the Banach contraction principle and the Schauder fixed point ... See full document

... metric spaces, for more information on cone metric spaces, we refer to [35, 37, 41, 43] and ...investigate fixed points for some spaces defined by integral norms? For details on such ... See full document

... common fixed points for a commuting pair consisting of a single-valued and a multivalued mapping both satisfying the Suzuki condition in a uniformly convex Banach ...a fixed point theorem for ... See full document

... This states that a non-expansive self-mapping of bounded, closed and convex subset possessing normal structure in a reflexive Banach space has a fixed point... The interest in this resul[r] ... See full document

... K-metric spaces by replacing real numbers with cone K in the metric function, that is, d : X × X → ...on fixed point theorems were considered for K-metric ...metric spaces CMS by ... See full document

... The article is arranged as follows. Firstly, new applicable common fixed point results are presented in Section . In Section , we prove the existence of continuous solutions to a system of integral inclusions ... See full document

... Lemma . (Takahashi [], Theorem ..) Let K be a nonempty closed convex sub- set of a reflexive Banach space E. Assume that ϕ : K → R is a proper convex lower semi- continuous and coercive function. Then the ... See full document

... fixed point theorems and the PPF dependent coincidence points for a pair of mappings satisfying some contractive conditions in Banach spaces where the domains and ranges of the ... See full document

... a Banach space (X, k · k), and let T : K → K be a nonexpansive mapping or a generalized nonexpansive ...a fixed point for T has been investigated, and some fixed point theorems ... See full document

... dimensional Banach spaces have the Opial property. A Banach space with a duality mapping which is weakly sequentially continuous also has the Opial property ...separable Banach space can be ... See full document

... metric fixed point results (see[6- 9]) Recently, Liu and Xu [2] introduced the concept of cone metric apace over Banach algebras, replacing Banach spaces by Banach algebras as ... See full document

... on mappings, which is weaker than non- expansiveness and stronger than quasi-nonexpansivemess and called it condition ...interesting fixed point theorems and convergence theorems for ... See full document

... metric spaces were introduced by Huang and Zhang as a generalization of metric spaces in ...ordered Banach space E, and a mapping T : X → X is said to be contractive if there is a constant k ∈ [, ) ... See full document

... Definition . Let X be an algebra, A be a real topological algebra (or as a special case be a Banach algebra), and P be an algebraic cone in A. Furthermore, let · : X → A be a cone norm, such that (X, · ) is a ... See full document

... few fixed point theorems for left reversible and near- commutative semigroups of contractive self-mappings in compact and complete metric spaces, ...some theorems in Boyd ... See full document

... a Banach algebra and proved some fixed point theorems on cone metric ...metric spaces by replacing the contractive constant by a vector of ...their fixed point results ... See full document