[PDF] Top 20 Fixed point theorems in CAT(0) spaces using a generalized Z-type condition

... Fixed point theory in CAT(0) spaces was first studied by Kirk; see [5,6] and the references ...complete CAT(0) space always has a fixed ...the fixed ... See full document

... By using the (CN) inequality, it is easy to see the CAT() spaces are uniformly ...a CAT() space if and only if it satisfies the (CN) ...unique point λx ⊕ ( – λ)y ∈ [x, y] such that ... See full document

... proving fixed point theorems for T-Kannan, T- Zamfirescu and T-weakly contraction ...of fixed point for T-Zamfirescu operators in complete metric spaces and proved a convergence ... See full document

... s fixed point theorem in CAT(0) spaces ...complete CAT(0) space E with con- vex hull finite property and G : X ® E is a continuous map and for every x Î X with x ≠ ... See full document

... In 2011, Takahashi and Yao [17] also introduced two nonlinear mappings in Hilbert spaces. Let C be a nonempty closed convex subset of a real Hilbert space H. A map- ping T : C ® C is said to be TJ-1 if 2||Tx - ... See full document

... in CAT() spaces or R-trees. By using a Ky Fan type minimax inequality in CAT() spaces, Shabanian and Vaezpour [] proved fixed point theorems and best ... See full document

... Fixed point theory in CAT(0) spaces was first studied by Kirk ...complete CAT(0) space always has a fixed ...the fixed point theory for single-valued ... See full document

... additional condition on φ which is lim t→ ∞ φt ...without using this particular ...Wong type. And if we define βt 1 − φt/t for t > 0 and β0 0, then ... See full document

... a CAT() space if it is geodesically connected and every geodesic triangle in X is at least as thin as its comparison triangle in the Euclidean ...a CAT() space. Other examples are pre-Hilbert ... See full document

... By the assumption, there exists (u, v) Î X × X such that (F(u, v), F(v, u)) is compar- able to (F(x, y), F(y, x)) and (F(x*, y*), F(y*, x*)). Without the restriction to the general- ity, we can assume that (F(x, y), F(y, ... See full document

... : 0, ∞ → 0, ∞ is continuous and nondecreasing function such that φt 0 if and only if t ...where 0 < k < 1, then ...a fixed point result for a single mapping an analogue of ... See full document

... The main aim of the present paper is to prove new unidimensional and multidimen- sional fixed point results in the framework of the G-metric spaces provided with a partial preorder (not necessarily a partial ... See full document

... contractive condition is of nonlinear type, the above strategy cannot be ...fixed point results on G-metric spaces from fixed point results on quasi-metric ...contractive ... See full document

... fixed point for any arbitrary value of k ∈ (, ...fixed point theorem for rational contraction type ...fixed point theorem due to Wardowski ... See full document

... common fixed point the- orems for multivalued mappings and we present some new gener- alization contractive conditions under the condition of weak com- ... See full document

... Samet and Vetro [26] introduced the concept of coupled …xed point for mul- tivalued mapping and later several authors proved existence of coupled …xed points for multivalued mappings under di¤erent conditions. ... See full document

... Common fixed point theorems on expansion type mappings on complete metric spaces, Math____:.. Some fixed point theorems on expansion mappings, Math.[r] ... See full document

... Corollary 16. Let (X, ≤) be a partially ordered set and (X, G) be a G-metric space such that (X, G) is G-complete. Let F : X 3 ® X and g : X ® X. Assume there exists k Î [0,1) such that for x, y, z, a, b, c, u, v, ... See full document

... It is well known that the notion of a PM-space corresponds to the situation that we may know probabilities of possible values of the distance although we do not know exactly the distance between two points. This idea ... See full document

... and generalized by Musielak and Orlicz [7]. Since then, several fixed point and common fixed point theorems in the frame work of modular spaces have been ...coupled ... See full document