[PDF] Top 20 Some results on fixed point theory for a class of generalized nonexpansive mappings

... of nonexpansive mappings and the study of related fixed point the- orems with different practical applications in nonlinear functional analysis have found great importance during the recent decades ... See full document

... The generalized nonexpansive mappings characterized by the inequalities ...for fixed points and are different from the class of Ciric’s mappings characterized by the inequalities ... See full document

... new class of self-maps which satisfy the (E.A.) property with respect to some q ∈ M, where M is q-starshaped subset of a convex metric space and common fixed point results are established for ... See full document

... Considerable effort in the development of a fixed point theory for nonexpansive map- pings, mainly for Problem ., has been done in the last  years. A well-known result of Browder [] asserts that ... See full document

... on mappings, which is weaker than non- expansiveness and stronger than quasi-nonexpansivemess and called it condition ...proved some interesting fixed point theorems and convergence theorems ... See full document

... the results of b-metric spaces that generalized the famous Banach contraction principle in metric ...Banach fixed point theorem in the b-metric ...the fixed point theorem in ... See full document

... the class of quasi-nonexpansive mappings, that is, the set of common fixed points of a countable family of quasi-nonexpansive mappings is identical to the ... See full document

... In 2011, Sahu [23] introduced the Normal S-iteration process in Banach space and established that the rate of convergence of the Normal S-iteration process is as fast as the Picard iteration process but faster than other ... See full document

... is called the metric segment joining x and y (condition (iii) ensures that [x, y] is an isometric image of the real line interval [, ρ(x, y)]). Hyperbolic spaces include all normed linear spaces and convex subsets ... See full document

... Fixed point theory for multivalued mappings has many useful applications in Applied Sciences, in particular, in game theory and mathematical ...known fixed point ... See full document

... fixed point theory is very important and useful in ...approximation theory, optimization and variational ...of generalized metric spaces, which are called G-metric spaces, as a gener- alization ... 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 ...obtained ... 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

... the class of mappings satisfying condition (K) is strictly wider than the class of quasi-nonexpansive mappings and asymptotically nonex- pansive ... See full document

... the class of asymptotic pointwise contraction type mappings con- tains the class of an asymptotic pointwise contraction mappings, but the converse is not true ...fixed point v ∈ C and, ... See full document

... on nonexpansive mappings and related topics in fixed point theory see ...study some properties of uniformly convex geodesic spaces in geodesic Ptolemy ...prove some fixed ... See full document

... been generalized in 7 cf. Theorem 2.1. Fixed point theorems for nonexpansive maps due to Browder 10, 11 and G ¨ohde 12 have been generalized in 6 ...been generalized by Kikkawa ... See full document

... Let D be a subset of C. Then Q : C ® D is called a retraction from C onto D if Q(x) = x for all x Î D. A retraction Q : C ® D is said to be sunny if Q(x + t(x - Q(x))) = Q(x) for all x Î C and t ≥ 0 whenever x + t(x - ... See full document

... The study of fuzzy metric spaces has been developing since . The well-known fixed point theorem of Banach was extended by Grabiec []. On the other hand, a number of authors have studied the conditions under ... See full document

... than nonexpansive- ness. Therefore, it is natural to call these mappings as “generalized nonexpansive ...these mappings as those satisfying the condition ... See full document