[PDF] Top 20 Fixed point theorems for some new nonlinear mappings in Hilbert spaces

... nonspreading mappings. Recently, Takahashi and Yao [9] proved the following nonlinear ergodic theorem for nonspreading mappings in Hilbert ... See full document

... fixed point theorems and nonlinear ergodic theorems of Bail- lon type [] for generalized hybrid mappings; see also Kohsaka and Takahashi [] and Iemoto and Takahashi ...of ... See full document

... Motivated by [, ], we obtain some new theorems for nonlinear operators which are not cone mappings by means of variational and partial ordered methods. This paper is organized as ... See full document

... show that this class of mappings are not necessary to be quasi-nonexpansive mappings. We establish an existence theorem of fixed points and the demiclosed principle for the class of (a, b)-monotone ... See full document

... hybrid mappings, and stu- died fixed point theorems and weak convergence theorems for such nonlinear map- pings in Hilbert ... See full document

... in Hilbert spaces and proved the corresponding fixed point ...metric spaces. Weakly contractive mappings have been used in a number of subsequent articles (let us men- tion ... See full document

... prove some common fixed point theorems for φ-contractive mappings in fuzzy metric spaces, in which a very simple condition is imposed on the function ... See full document

... fixed point and mixed monotone property for contractive operators of the form F : X × X → X, where X is a partially ordered metric space, and then established some interesting coupled fixed point ... See full document

... finite dimensional Banach spaces have the Opial property. A Banach space with a duality mapping which is weakly sequentially continuous also has the Opial property []. We know that every separable Banach space can ... See full document

... proximity point results in many ways (see in [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, ...proximity point in the setting of partially ordered metric spaces has been considered in [15, 16, 17, 18, 19, ... See full document

... metric spaces in various ways. Mustafa and Sims [7] introduced a new notion of generalized metric space called a G-metric ...studied fixed point theorems for mappings satisfying ... See full document

... common fixed point theorems for a finite family of discontinuous and noncommutative single-valued functions defined in complete metric ...common fixed point theorem for two multivalued ... See full document

... a new concept of generalized metric spaces for which we extend some well-known fixed point results including Banach contraction principle, Ćirić’s fixed point theorem, a ... See full document

... Some authors proved many kinds of fixed point theorems for contractive type mappings and non-expansive mappings ([1]-[4]).. Fisher proved some theorems in two complete metric spaces as [r] ... See full document

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

... It was shown in [28] that the G-metric induces a Hausdorff topology and that the convergence, as described in the above definition, is relative to this topology. The topology being Hausdorff, a sequence can converge to ... See full document

... of some of the recent theorems on the ...existence theorems on coupled fixed points and omit the ...to point out that the conclusion of the uniqueness of coupled fixed points in ... See full document

... expansive mappings is a very interesting research area in fixed point ...expanding mappings and proved some fixed point theorems in complete metric ...of ... See full document

... metric spaces in which self distance of a point need not be equal to ...qusi-metric spaces. Results on fixed points in dislocated and dislocated quasi-metric spaces followed by Isufati ... See full document

... We first show that B / ∅. To see this, consider rF : Q → Q. Clearly rF is weakly sequentially continuous, since F is weakly sequentially continuous and r is weakly continuous. Also rFQ is relatively weakly compact since ... See full document