[PDF] Top 20 Fixed point theorems in CAT(0) spaces with applications
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Fixed point theorems in CAT(0) spaces with applications
... generalized CAT() versions of the Fan-Browder fixed point ...saddle point theorem, a fixed point theorem for single- valued mappings, best approximation theorems, and existence ... See full document
26
On Fixed Point Theorems and their Applications (
... he fixed point theorems concern maps f of a set X into itself that, under certain conditions, admit a fixed point, that is, a point x ∈ X such that f(x) = ...of fixed ... See full document
7
A minimax inequality and its applications to fixed point theorems in CAT(0) spaces
... a CAT(0) space if it is geodesically connected and if every geodesic triangle in this space is at least as thin as its comparison triangle in Euclidean ...plane. CAT(0) spaces play ... See full document
9
Fixed point theorems for a semigroup of generalized asymptotically nonexpansive mappings in CAT(0) spaces
... In , Takahashi [] proved the first fixed point theorem for a noncommutative semi- group of nonexpansive mappings which generalizes De Marr’s fixed point theorem []. He proved that any discrete left ... See full document
12
Fixed point theorems in CAT(0) spaces using a generalized Z-type condition
... Combining these three definitions, Zamfirescu [24] proved the following important result. Theorem Z. Let (X, d) be a complete metric space and T : X → X a mapping for which there exists the real numbers a, b and c ... See full document
13
On Fixed Point Theorems and Their Applications (
... = 0 for all t ∈[ α, β], then h(t) is constant on [α, ...= 0, that implies ᴧ(h(t) − h(α)) = 0, and from the Hahn-Banach theorem there is ᴧ ∈ X * such that ᴧ(h(t) − h(α)) = ... See full document
7
Fixed point theorems and Δ-convergence theorems for generalized hybrid mappings on CAT(0) spaces
... Let (X, d) be a metric space. A geodesic path joining x Î X to y Î X (or, more briefly, a geodesic from x to y) is a map c from a closed interval [0, ℓ ] ⊆ R to X such that c (0) = x , c ( ℓ ) = y , and d ( ... See full document
15
Fixed Point Theorems for T-Ciric Quasi-contractive Operator in CAT(0) Spaces
... a CAT(0) space if it is geodesically connected and if every geo- desic triangle in X is at least as ”thin” as its comparison triangle in the Euclidean ...a CAT(0) space. Other examples include ... See full document
11
Fixed Point Theorems in Complete G - Metric Spaces
... Sims,fixed point theorems for contractive mappings in complete G-metric spaces, Fixed Point Theory and Applications, Volume 2009, Article ID 917175. Rhoades, Fixed Point [r] ... See full document
5
Common fixed point theorems for (ψ, φ)-weak nonlinear contraction in partially ordered sets
... of fixed point in partially ordered sets has been considered recently in ...existence theorems for fuzzy differential ...some applications to matrix equations and to ordinary differential ... See full document
12
Modular Cone Metric Spaces
... Kumam, Fixed point theorems for contraction mapping in modular metric spaces, Fixed Point Theory and Applications, (2011)", the authors have studied and introduced ... See full document
6
Δ-convergence for proximal point algorithm and fixed point problem in CAT(0) spaces
... convergence theorems of the proposed algorithm to common fixed points of nonexpansive mappings and to minimizers of a convex ...convergence theorems of the PPA to a common fixed point of asymptotically ... See full document
19
Property in -Metric Spaces
... Metric fixed point theory is an important mathematical discipline because of its applications in areas such as variational and linear inequalities, optimization, and approximation ...metric ... See full document
12
Some notes on fixed point sets in CAT(0) spaces
... a CAT(0) space if all geodesic triangles of appropriate size satisfy the following comparison axiom: “Let 4 be a geodesic triangle in X and let 4 be a comparison triangle for ...the CAT(0) ... See full document
7
Some convergence theorems involving proximal point and common fixed points for asymptotically nonexpansive mappings in \(\operatorname {CAT}(0)\) spaces
... a CAT() space, if it is geodesically connected and if every geodesic triangle in X is at least as ‘thin’ as its comparison triangle in the Euclidean ...a CAT() space X is convex if, for any x, y ∈ K , we ... See full document
11
Some Coupled Fixed Point Theorems in Cone Metric Spaces
... Example 2.4. Let E R 2 , P {x, y ∈ R 2 : x, y ≥ 0} ⊆ R 2 , and X 0, 1. Define d : X×X → E with dx, y |x − y|, |x − y|. Then X, d is a complete cone metric space. Consider the mapping F : X × X → X with Fx, ... See full document
8
Approximating fixed points for nonself mappings in CAT(0) spaces
... complete CAT(0) space X, (the initials of term “ CAT ” are in honor of ...nearest point projection P from X onto ...nonempty fixed point ... See full document
7
Linking Contractive Self-Mappings and Cyclic Meir-Keeler Contractions with Kannan Self-Mappings
... ∈ 0, 1. The best proximity point is some z ∈ A ∪ B such that dz, Tz distA, ...a fixed point of T since distA, B 0 ...convergence theorems. Those theorems are used to find ... See full document
23
Impact of Common Property (E.A.) on Fixed Point Theorems in Fuzzy Metric Spaces
... > 0, the open ball Bx, r, t with center x ∈ X and radius 0 < r < 1 is defined by Bx, r, t {y ∈ X : Mx, y, t > 1 − ...X, 0 < r < 1, t > 0} is a neighborhood system for a ... See full document
14
Fixed Point Theory for Contractive Mappings Satisfying -Maps in -Metric Spaces
... The fixed point theorems in metric spaces are playing a major role to construct methods in mathematics to solve problems in applied mathematics and ...metric spaces to a large numbers ... See full document
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