[PDF] Top 20 Fixed Points of Weakly Contractive Maps and Boundedness of Orbits

... Suppose u is also a fixed point of f . If u = w, then by (2.2) and (2.1) we can obtain d(u,w) = d( f (u), f (w)) ≤ s · (0 + 0) + [1 − μ(d(u,w))] · d(u,w) < d(u,w), which is a con- tradiction. Hence u = w, and w ... See full document

... a weakly commuting pair if and only if d(ASx,SAx) ≤ d(Ax, Sx) for all x ∈ ...common fixed point theorems of weakly commuting mappings ...common fixed point theorems using this concept ...are ... See full document

... common fixed points of mappings satisfying certain contractive condi- tions has been at the center of rigorous research ...some fixed point theorems for mappings satisfying different ... See full document

... the weakly contractive maps in Hilbert spaces, and Rhoades 2 showed that the result of 1 is also valid in the complete metric spaces as ...called weakly contractive ... See full document

... There has been a considerable interest to study common fixed point for a pair (or family) of mappings satisfying contractive conditions in metric spaces for the last quarter of the 20 th century. Several ... See full document

... in fixed point theory. For example every pair of weakly commuting self maps and each pair of compatible self maps are weakly compatible, but the reverse is not always ...of ... See full document

... KKM maps, the authors introduced a new concept of lower upper semicontinuous function see Definition ...redefine weakly F-contractive mappings and strongly F-expansive mappings see Definition ... See full document

... of weakly contractive maps in Hilbert spaces, in: ...Shakeel, Weakly contractive maps and common fixed points, ...Bae, Fixed point theorems for weakly ... See full document

... of fixed point theory is rooted on the generalization of contractive con- ditions and also on the generalization of circumambient spaces of the operator under consider- ...of fixed point. In the view ... See full document

... generalized contractive map due to Klim and Wardowski ...is weakly contractive in short, w-contractive 8, and further if we take ω d, then we obtain J b x I b x and T is contractive ... See full document

... shrinking maps; indeed the following questions are open. Let M be a weakly compact convex of a Banach space and let T : M → M be a shrinking ...a fixed point? If T has a fixed point x ∗ , is ... See full document

... where ψ : [0, ∞) 2 → [0, ∞) is a continuous mapping such that ψ (x, y) = 0 if and only if x = y = 0. Definition 2.16. Let (X, d) be a quasi-pseudometric space. A map T : X → X is called a weak S-pseudocontraction or said ... See full document

... of fixed point of mappings on non-Archimedean Menger space has been given by Istratescu  ...common fixed point theorem for compatible mappings in non-Archimedean Menger ...the fixed points of ... See full document

... some fixed point results for mappings satisfying an integral-type contractive condition are obtained in ...generalized contractive-type condition for a pair of mappings in metric space and proved ... See full document

... for weakly completely continuous multi-valued mappings takes an important role for the existence of solutions for operator inclusions, positive solutions of elliptic equation with discontinuous non- linearities ... See full document

... coupled fixed point inequality in X , say d(F(x, y), F(u, v)) ≤ F d (F, g, x, y, u, v), can be transformed to a known fixed point inequality in X × X, say D( F(x, ˜ y), F ˜ (u, v)) ≤ F ... See full document

... a fixed point for ...a fixed point. Of course, this result includes the case of a contractive map ...for weakly contractive mappings, in the setting of a complete metric space, under ... See full document

... Keywords: fixed point; generalized metric; weakly contractive condition; contraction of integral type; common fixed points.. 1 Introduction and preliminaries.[r] ... See full document

... A common fixed point theorem for three self-maps on a metric space has been proved through the notions of orbital completeness, asymptotic regularity and weak compatibility. Our result g[r] ... See full document

... Clearly, f 1 ∈ T 1 but fT 1 / Tf 1, and f 3 ∈ T 3 but fT 3 / Tf 3; they show that {f, T } is not weakly compatible. On the other hand, f2 ∈ T 2 gives that fT 2 Tf 2. Hence {f, T } is occasionally weakly ... See full document