[PDF] Top 20 Common fixed point and invariant approximation in hyperbolic ordered metric spaces

... closed ordered subset of a hyperbolic ordered metric space ...be ordered R- subweakly commuting selfmaps on Y such that T(Y ) ⊂ S(Y ), cl(T(Y )) is compact, q Î Fix(S) and S(Y ) is ... See full document

... mentioned invariant approximation ...general common fixed point theorem for R-subweakly commuting generalized I -nonexpansive maps on nonstarshaped domain in the setting of locally ... See full document

... such spaces and proved several fixed point theorems for nonexpansive ...fixed point theorem in convex met- ric ...fixed point theorems have been extensively applied to best approximation ... See full document

... convex metric space is also said to be a metric space of hyperbolic type (see Ciric ...convex metric space with W defined by W(x, q, λ) = λx + ( –λ)q for all x, q ∈ X and all λ ∈ ... See full document

... Fixed point theory has many applications in different branches of ...fixed point theorems came into existence as a generalization of that ...of metric spaces such as b-metric ... See full document

... partially ordered partial metric spaces is introduced, and some coincidence and common fixed-point theorems for these contractions are ...recent fixed-point ... See full document

... fixed point was introduced by Bhaskar and Lakshmikantham [] and they studied some fixed point theorems in partially ordered metric ...coupled common fixed point theorems (see [, ... See full document

... for all x, y ∈ X, with k ∈ (, ), then f has a unique fixed point. This result is simple and powerful with a wide range of applications in science and engineering. It can be em- ployed to prove the existence of ... See full document

... coupled fixed point was introduced and studied by Guo and Lakshmikantham [18] and Bhaskar and Lakshmikantham ...and common coupled fixed point theorems in (partially ordered) ... See full document

... partial metric spaces and proved the Banach contraction principle in these ...partial metric spaces [, ...fixed point theorems in partial metric spaces can be obtained ... See full document

... a metric space with w-distance ...a point x, y ∈ X × X with respect to mapping g : X → X if for every ε > 0 there exists a δε > 0 such that pgu, gx pgv, gy < δ implies that pFx, y, Fu, v < ε for ... See full document

... A subset C of hyperbolic space X is convex if W (x, y, α) ∈ C for all x, y ∈ C and α ∈ [, ]. If x, y ∈ X and λ ∈ [, ], then we use the notation ( – λ)x ⊕ λy for W (x, y, λ). The following holds even for the ... See full document

... of ordered partial b-metric ...such spaces. Using this lemma, we prove some fixed point and common fixed point results for (ψ, ϕ)-weakly contractive mappings in the setup of ... See full document

... many fixed point theorems for contraction mappings in partially or- dered probabilistic metric ...on fixed point theory in partially ordered probabilistic metric ... See full document

... partially ordered metric space (it is then restricted to the case when gx and gy are comparable) and prove respective common fixed point ... See full document

... Example 2.3. Let X = [0, ∞) be equipped with the b-metric-like d(x, y) = (x + y) 2 for all x, y ∈ X , where b = 2. Define a relation on X by x y iff y ≤ x, the functions f , g : X → X by f x = ln(1 + 13 x ) and f ... See full document

... Banach fixed point theorem for contraction mappings has been generalized and extended in many directions ...partially ordered metric ... See full document

... fixed point theorem (see []) and Tarski’s [] fixed point ...and common fixed points for a pair of single-valued mapping and set-valued mapping on a partially ordered metric ... See full document

... of metric spaces or ordered metric spaces, coincidence point, and common fixed point results for self-mappings in a general class of contractions defined by ... See full document

... respectively. If tx = x, we call x a fixed point of a single-valued mapping t. Moreover, if x ∈ Tx, we call x a fixed point of a multivalued mapping T . We use the notation Fix(S) to stand for the set of fixed ... See full document