[PDF] Top 20 Common Fixed Point Theorems in TVS-Valued Cone Metric Spaces

... concerning fixed points and other results, in the case of cone metric spaces with non-normal solid cones, cannot be proved by reducing to metric spaces, because in this case ... See full document

... “ Common Fixed Point Theorems in TVS-Valued Cone Metric Spaces”, Presented at World Congress on Engineering, London July, 4-6, 2012, ...“Common ... See full document

... Chen, Some new fixed point theorems for set-valued contractions in complete metric spaces, Fixed Point Theory Appl. Liu, Common fixed point theorems for sequences of Φ -type contraction [r] ... See full document

... of cone ball-metric spaces and we prove fixed point results on such spaces for functions satisfying the contractions involving the α − ... See full document

... In this paper, we have established common fixed point results for Chatterjea-type con- tractive mappings in the context of complex-valued metric spaces. Our results may be the motivation ... See full document

... Fixed point theorems for multi-valued mappings in complete metric spaces, Math.. Common fixed points of two mappings, Pacific J.[r] ... See full document

... proved fixed point theorems for two self-maps under contractive con- dition of integral type in metric ...complex valued metric ... See full document

... , Common fixed point theorems for weakly compatible pairs on cone metric spaces, Fixed point theory ...Vetro, Common fixed points in ... See full document

... d( f x, f y) αd(x, y) + β [d(x, f x) + d(y, f y)] + γ [d(x, f y) + d(y, f x)] (3.3) for all x, y ∈ X , where α , β , γ ≥ 0 and α + 2β + 2γ < 1. Then f has a unique fixed point in X . Proof. Set p = q = 1 ... See full document

... Now we give some definitions of graph theory which is found in any text on graph theory, for example [11]. Following Jachymski [10], let ∆ denote the diagonal of the X × X in a metric space (X, d), and consider a ... See full document

... Jungck, Common fixed point results for non commuting mappings without continuity in cone metric space, J. Hamlbarani, Some notes on the paper “Cone metric spaces and fixed point theorems [r] ... See full document

... Let us mention that nonconvex analysis, especially ordered normed spaces, normal cones, and topical functions 2, 4–9 have some applications in optimization theory. In these cases, an order is introduced by using ... See full document

... complex valued rect- angular (generalized) metric space (X, d) satisfying the conditions (1),(2),(3) of ...unique common fixed point in ... See full document

... a cone metric space X, d is said to be R-weakly commuting if there exists a real number R > 0 such that dfgx, gfx ≤ Rdfx, gx for all x ∈ X, whereas the pair f, g is said to be pointwise R-weakly ... See full document

... unique common fixed point of f and ...a cone metric type space with coefficient s ≥ 1 and P a nor- mal cone with normal constant ... See full document

... We get [ ( ] and as �⟶ we get , and P is closed, [ ( ] .Hence [ ( ] By ( ( and so .Now if is another fixed point of T. Then from 3.1 we have [ ( ] =0. Hence [ ( ] and [ ( ] .By ( , ( = 0 and . Hence = = . ... See full document

... φ[d(f x, gy)] ≤ aφ[d(hx, hy)] + bφ[d(hx, f x)] + cφ[d(hy, gy)] (2.1) where φ ∈ Φ(P, C) and a, b, c are nonnegative reals with a + b + c < 1. If f (X ) ∪ g(X) ⊂ h(X ) and h(X ) is a complete subspace of X, then the ... See full document

... convex cone if P + P ⊆ P and λP ⊆ P for λ ≥ . A convex cone P is said to be pointed (or proper) if P ∩ (–P) = { θ } ; and P is normal (or saturated) if E has a base of neighborhoods of zero consisting of ... See full document

... (tvs)-cone metric and tvs-cone metric space to improve and extend the concept of cone metric space in the sense of Huang and Zhang ...in tvs instead of ... See full document

... coincidence point results for various classes of mappings in a metric ...of cone metric space, where the set of real numbers is replaced by an ordered Banach space, and they have established ... See full document