[PDF] Top 20 Fixed point results for generalized mappings

... type mappings con- tains the class of an asymptotic pointwise contraction mappings, but the converse is not true ...fixed point v ∈ C and, for each x ∈ C, the sequence of Picard iterates { T n x} ... See full document

... the mappings to be ...fixed point but do not imply the continuity of ...fixed point for a mapping that can have a ...fixed point or common fixed point theorems for various classes of ... See full document

... By the same argument, we can prove gu = u and hu = u. Thus we have u = fu = gu = hu = Au = Bu = Cu, so that f , g, h, A, B and C have a common fixed point u in X. Let v be any other common fixed point of f , ... See full document

... common fixed points of a pair of multivalued maps in a complete metric space) which are based on previous Suzuki et al. and Ćirić’s results for single-valued self-mappings in some background literature ... See full document

... some fixed point theorems for sum of two mappings in locally convex ...The results generalized the fixed point theorem of Cain and Nashed [2] for sum of two ... See full document

... Preliminaries: In this study, we show some definitions and examples that will be used in the main results. Definition 2.1; Bashirov (2008): Let, X be a nonempty set. A mapping d: X×X6[1, 4 ) is said to be ... See full document

... weakly commuting, then there exists a point z Î K such that z = t(z) Î T(z). In this paper, we extend this result to the general setting of uniformly convex metric spaces in the sense of Goebel and Reich [24]. ... See full document

... end point, a special case of fixed point, of two multivlaued mappings without appeal to continuity of any map involved ...our results do not require any commutativity condition to prove ... See full document

... fixed point results involving four mappings satisfying generalized contractive conditions on a cone metric type space are ...Our results substantially improve and extend a number of ... See full document

... Branciari, A fixed point theorem for mappings satisfying a general contractive condition of integral type , Int.. ´ Ciri´ c, Generalized contraction and fixed point theorem , Publ.[r] ... See full document

... We begin with the following definitions. Definition 1.3 ([10]) Let f and g be self map- pings of a set X. If w = f x = gx for some x in X, then x is called a coincidence point of f and g, and w is called a ... See full document

... a generalized metric and the pair (X, d) is called generalized metric space (or shortly ...a generalized metric space, but the converse is not ...that generalized metric spaces might not be ... See full document

... Recently Zhang and Song 8 proved the following theorem on the existence of a common fixed point for two single valued generalized ϕ-weak contraction mappings. Theorem 1.4. Let X, d be a ... 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

... Motivated by the results of Frigon, I slightly modified the definition of homotopic con- tractive maps. I proved that the property of having a fixed point is invariant by homotopy for fuzzy contractive maps. ... See full document

... our results do not rely on continuity of mappings involved ...Our results extend and unify various comparable results in ...and results will be needed in the ... 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

... studied fixed point and common fixed point for weak and generalized weak contraction ...common fixed point theorems for weakly compatible mappings satisfying a ... See full document

... fixed point theorems for mappings which satisfy different contractive conditions; see [10-14] for more ...common fixed point theory in generalized metric ...some fixed ... See full document

... Proof Let α, β : X × X → [, +∞) be the mapping defined by α(x, y) = β (x, y) =  for all x, y ∈ X. Then T is (αψ , βϕ)-contractive mappings. It is easy to show that all the hypothe- ses of Theorems . and . are ... See full document