[PDF] Top 20 Fixed point approximation for \(SKC\) mappings in hyperbolic spaces

... Then F(T ) = {  } = φ and T is quasi-nonexpansive, but T does not satisfy condition (C). In [], Suzuki proved the existence of the fixed point and convergence theorems for map- pings satisfying condition (C) in ... See full document

... Abstract: The aim of this paper is to prove some results on strong and △-convergence of S-iterative scheme for SKC mappings in hyperbolic spaces. The results presented here extend and improve ... See full document

... Nonexpansive mappings are Lipschitzian with Lipschitz constant equal to ...nonexpansive mappings enjoys the fixed point property and even the approximate fixed point property in the general ... See full document

... nonexpansive mappings to the class of SKC ...investigate SKC mappings to get a criterion to guarantee a fixed point, via extending the results proved by Karapınar and Tas into the class ... See full document

... In , Nanjaras et al. [] gave some characterization of existing fixed points for map- pings with condition (C) in the framework of CAT() spaces. In , Dhompongsa et al. [] proved some strong convergence ... See full document

... of mappings which is essentially wider than that of asymptotically nonexpansive mappings on hyperbolic space through the S-iteration process introduced by Agarwal et ... See full document

... metric spaces was first introduced by Takahashi [20] who studied the fixed point theory for nonexpansive mappings in the settings of convex metric ...to hyperbolic spaces ... See full document

... the approximation of fixed point of expansive mappings and semigroups in probabilistic metric ...metric spaces (see for example [3], [4] and ... See full document

... fies any of the contractive conditions studied so far by authors. They also noted that these classes of maps have another interesting property of some existing maps considered re- cently by authors (see, e.g., [, –, ... See full document

... common point between ψ -firmly nonexpansive mapping and the above three mappings is that they all include a firmly nonexpansive mapping in Hilbert spaces as a special ...three mappings since a ... See full document

... approximate fixed points of nonself ({µ n }, {v n }, ζ )− total asymptotically nonexpan- sive mappings via new iterative scheme and establish strong and ∆−convergence theorems in the setup of uniformly ... See full document

... nonexpansive mappings in a hyperbolic space and study its strong ...in hyperbolic spaces and generalize many known results in Banach spaces and CAT(0) spaces, ... See full document

... Theorem . ([, Theorem .]) Let E be a nonempty compact convex subset of a uni- formly convex Banach space X, and let t : E → E and T : E → FB(E) be a single-valued and a multivalued nonexpansive mappings ... See full document

... Metric fixed point theory has primary applications in functional ...Banach spaces and fixed point theory has been very strong and ...underlying spaces play a crucial role for ... See full document

... a fixed point result for a total asymptotically nonexpansive mapping along with the iterative construction of common fixed point of a finite family of these mappings in uniformly convex ... See full document

... In this paper, we study the convergence of new implicit iterations dealing with n-tupled fixed point results for nonlinear contractive-like mappings on W-hyperbolic metric spaces. ... See full document

... a point z Î K such that z = t(z) Î ...metric spaces in the sense of Goebel and Reich ...Banach spaces and CAT(0) spaces are uniformly convex metric spaces, then our results extend and ... See full document

... fixed point the- orems on G-metric spaces are particular cases of existing fixed point theorems in metric ...such spaces have a quasi-metric type structure and then many results on such ... See full document

... 3. Ha, KS, Cho, YJ, White, A: Strictly convex and strictly 2-convex 2-normed spaces. Math. Jpn. 33, 375-384 (1988) 4. Dhage, BC: Generalized metric space and mapping with fixed point. Bull. Calcutta Math. ... See full document

... Metric fixed point theory is an important mathematical discipline because of its applications in areas such as variational and linear inequalities, optimization, and approximation ...metric ... See full document