[PDF] Top 20 On Krasnoselskii's Cone Fixed Point Theorem
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On Krasnoselskii's Cone Fixed Point Theorem
... Krasnoselskii’s theorem and Brouwer-Schauder theorem has been overlooked is that the former is usually stated in the setting of a cone embedded in a Banach space with a given ...Krasnoselskii’s ... See full document
18
Cone S-Metric Space and Fixed Point Theorems of Contractive Mappings
... Corollary 2.2. Let (, ) be a complete cone -metric space and be a normal cone with normal constant ". Suppose the mapping : → satisfies the following conditions: (B, B, C) ≼ ℎ (B, B, C) (2.6) for all B, ... See full document
7
A generalised fixed point theorem of presic type in cone metric spaces and application to markov process
... Repeating this process n times we get, d(f fu, fu) <k n l n d(f fu, fu). So k n l n d(f fu, fu) - d(f fu, fu) Î P for all n ≥ 1. Since k n l n ® 0 as n ® ∞ and P is closed, –d(f fu, fu) Î P, but P ∩ (-P) = {0}. ... See full document
8
Some fixed point iteration procedures
... The following theorem establishes a fixed point for a contractive definition which includes nonexpansive mappings... If each subsequential weak limit of {s is a fixed point of T, then {s[r] ... See full document
16
Fixed point theorems for multivalued contractive mappings and multivalued Caristi type mappings in cone metric spaces
... X, S(x) has a minimal element in S(x), where S(x) = { y ∈ X : y x } .... Theorem . Let (X, d) be a cone metric space such that P is strongly minihedral and continuous, and let T : X → ... See full document
10
A Common Random Fixed Point Theorem for Weakly Compatible Mappings in Cone Random Metric Spaces
... Fixed point theory has the diverse applications in differ- ent branches of mathematics, statistics, engineering, and eco- nomics in dealing with the problems arising in approximation theory, potential ... See full document
8
Fixed Point Results for Multivalued Maps in Cone Metric Spaces
... Our Theorem 3.2 extends the main fixed point result of Chifu and Petrusel 18, Theorem ...of cone metric spaces, and thus the result of Feng and Liu 7, Theorem ... See full document
11
Common Fixed Point Theorem for Four Non-Self Mappings in Cone Metric Spaces
... a point of coincidence as T 1 F1 as well as S1 G1 whereas both the pairs F, T and G, S are weakly compatible as TF1 1 FT 1 and SG1 1 ...of Theorem 2.3 are satisfied and 1 is the unique common ... See full document
14
Weakly c-contractive mappings in cone metric spaces
... of cone metric spaces by replacing the set of real numbers with an ordered Banach space, for more details; see [4] and the references ...many fixed point results concerning self mappings in such ... See full document
9
Browder-Krasnoselskii-Type Fixed Point Theorems in Banach Spaces
... We first show that B / ∅. To see this, consider rF : Q → Q. Clearly rF is weakly sequentially continuous, since F is weakly sequentially continuous and r is weakly continuous. Also rFQ is relatively weakly compact since ... See full document
20
The existence of fixed points for new nonlinear multivalued maps and their applications
... Mizoguchi-Takahashi’s fixed point theorem is a generalization of Nadler’s fixed point theorem, but its primitive proof is ...of Theorem MT. Recently, Du [5] established ... See full document
13
A note on Krasnosel’skii fixed point theorem
... fixed point prob- lems for the sum of two operators, the generalizations and its variants of Krasnosel’skii fixed point theorem and their applications in real-world problems, see, for instance, [–] ... See full document
8
A fixed point theorem for analytic functions
... as one can readily check by using relations (2.6) and (2.7) (see also Figure 2.1 which illustrates the equality above). The fact that such holomorphic self-maps exist can be checked by using Pick’s interpolation ... See full document
5
A fixed point theorem for holomorphic maps
... Brouwer’s fixed point theorem to dilations f (rz) (r < 1), it is easy to see that the function π − f ˆ : M → C has a zero, but this merely says that some point in some fibre of π is mapped ... See full document
8
Generalizations of Banach-Kannan-Chatterjea type fixed point theorems on non-normal cone metric spaces with Banach algebras
... In this paper, we discuss the existence problems of fixed points for mappings satisfying Suzuki type contractive conditions on cone metric spaces over Banach algebras without the assumption of normality. ... See full document
15
MULTIPLE POSITIVE SOLUTIONS FOR A SYSTEM OF FRACTIONAL HIGHER-ORDER INFINITE-POINT BOUNDARY VALUE PROBLEMS
... following fixed point theorems of cone expansion and compression of functional type due to Avery, Henderson and O’Regan’s [2], which generalized the functional compression fixed point ... See full document
13
Cone Metric Spaces, Cone Rectangular Metric Spaces and Common Fixed Point Theorems
... common fixed pint of mapping satisfying certain contractive conditions has been taken a important role in resent research ...common fixed point theorem for commuting mappings, generalized the ... See full document
9
Common Fixed Point for Four Mappings in Cone Metric Space
... some fixed point theorems for pair of map in cone metric ...common fixed point theorem for three self maps in cone metric ...some fixed point theorem ... See full document
7
25. A Unique Common triple fixed point theorem in partially ordered cone metric spaces
... Theorem 1.8. (Theorem.7.[8]): Let (X, ≤) be a partially order set and suppose there is a metric d on X such that (X, d) is a complete metric space. Let F : X × X × X → X be a continuous mapping having the ... See full document
10
Cyclic Contraction on S- Metric Space
... Abstract. In this paper we introduced the concepts of cyclic contraction on S- metric space and proved some fixed point theorems on S- metric space. Our presented results are proper ... See full document
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