[PDF] Top 20 Fixed point theorems for generalized Lipschitzian semigroups

... Kirk [7] and Goebel, Kirk, and Thele [9]. Lifšic [13] proved that in a Hilbert space a uniformly k-Lipschitzian mapping with k < √ 2 has a fixed point. Downing and Ray [4] and Ishihara and Takahashi [12] ... See full document

... Abstract. Fixed point theorems for generalized Lipschitzian semigroups are proved in p- uniformly convex Banach spaces and in uniformly convex Banach ... See full document

... with fixed point theory in such spaces; see [2,3, 4, 5, 6, 7] and references ...a point need not be equal to ...For fixed point theory in dislocated metric spaces, see [9, 10, 11, 12] ... See full document

... In case that X, d is a compact metric space and the functions fk are contractions, using some fixed point theorems for contractions from X m to X , we prove the existence of the attrac[r] ... See full document

... fixed point theorems in standard metric spaces including Banach contraction principle, Ćirić’s fixed point theorem, a fixed point result due to Ran and Reurings, and a fixed point result ... See full document

... fixed point theorem for an asymptotically regular semigroup of uniformly Lipschitzian mappings with property (∗) in a complete bounded metric space with uniform normal structure which extends the results of ... See full document

... known fixed point theorems in standard metric spaces including Banach contraction principle, Ćirić’s fixed point theorem, a fixed point result due to Ran and Reurings, and ... See full document

... for each n ≥ 0 in a reflexive Banach space with a uniformly Gˆateaux differentiable norm such that each nonempty bounded closed and convex subset of E has the common fixed point property for nonexpansive ... See full document

... In , Gähler [] investigated the concept of -metric spaces and he claimed that a -metric is a natural generalization of an ordinary metric space (for more detailed results, see the books [, ]). But some ... See full document

... Fixed point theorems for a class of generalized nonexpansive mappings Fatemeh Lael 1* and Zohre Heidarpour 2.. * Correspondence:.[r] ... See full document

... (2.4) for all x, y ∈ X with f x = g y. Then F and G have a unique common fixed point w ∈ X and the point w is also a unique fixed point of F and G, respectively. Moreover, if F (resp., ... See full document

... Indeed, in , Matthews, a computer scientist who is an expert on semantics, an- nounced in [] an analog of Banach’s principle in a new space he called a partial metric space. Matthews’s innovative approach was ... See full document

... Branciari, A fixed point theorem for mappings satisfying a general contractive condition of integral type, Int.. Ćirić, Generalized contractions and fixed-point theorems, Publ.[r] ... See full document

... Kikkawa-Suzuki generalized hybrid contraction such that P Y ⊆ T Y , and PY or TY is a complete subspace of ...coincidence point, that is, there exists z ∈ Y such that Tz ∈ P ...common fixed ... See full document

... Fixed point theory in CAT(0) spaces was first studied by Kirk ...a fixed point. Since then the fixed point theory for single-valued and multivalued mappings in CAT(0) spaces has ... See full document

... fixed point of f such that D(T ω, T ω ) < ∞ , then ω = ω ...complete generalized metric space, and let T, f : X → X be two mappings such that T is continuous, one-to-one, and sequentially ... See full document

... important fixed point theorem is the Banach contraction principle [1], which assures that every contraction T from a complete metric space X into itself has a unique fixed ...the fixed ... See full document

... Kirk [] combined the ideas of pointwise contraction [] and asymptotic contraction [] and introduced the concept of an asymptotic pointwise contraction. He announced that an asymptotic pointwise contraction defined ... See full document

... fixed point ξ in M and, moreover, for any f in S and x in M, the sequence of iterates {f n (x)} converges to ...fixed point theorem for a left reversible uniformly Lipschitzian semigroup of selfmaps on ... See full document

... Caristi’s fixed point theorem. It is well known that Caristi’s fixed point theorem is equivalent to Ekland variational principle 1, which is nowadays an important tool in nonlinear ...and ... See full document