Relatively nonexpansive mapping
Shrinking Projection Method of Common Solutions for Generalized Equilibrium Quasi Nonexpansive Mapping and Relatively Nonexpansive Mapping
... a relatively nonexpansive mapping, and the set of fixed points of a quasi-φ-nonexpansive mapping in a Banach space by using the shrinking Projection ...
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Block Iterative Methods for a Finite Family of Relatively Nonexpansive Mappings in Banach Spaces
... Our purpose in the present paper is to obtain an analogous result for a finite family of relatively nonexpansive mappings in Banach spaces. This notion was originally intro- duced by Butnariu et al. [11]. ...
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Bregman weak relatively nonexpansive mappings in Banach spaces
... In this section, we prove strong convergence theorems without computational errors in a reflexive Banach space. We start with the following simple lemma whose proof will be omitted since it can be proved by a similar ...
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Modified Halpern-type iterative methods for relatively nonexpansive mappings and maximal monotone operators in Banach spaces
... We obtain the modified Halpern-type iterative method for finding a common element of the fixed point set of a relatively nonexpansive mapping and the zero set of a maximal monotone operator in a ...
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Simple projection algorithm for a countable family of weak relatively nonexpansive mappings and applications
... The ideas to generalize the process (.) from a Hilbert space to a Banach space have recently been made. By using available properties on a uniformly convex and uniformly smooth Banach space, Matsushita and Takahashi ...
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Approximation of Fixed Points of Weak Bregman Relatively Nonexpansive Mappings in Banach Spaces
... Bregman relatively nonexpansive mapping which is distinct from Bregman relatively nonexpansive ...Bregman relatively nonexpansive mappings and Bregman relatively ...
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A viscosity approximation method for weakly relatively nonexpansive mappings by the sunny nonexpansive retractions in Banach spaces
... quasi- nonexpansive mappings without using the demiclosedness principle in a Banach space E? Many problems in nonlinear analysis can be formulated as a problem of finding a fixed point of a nonexpansive-type ...
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A new iterative scheme for equilibrium problems, fixed point problems for nonexpansive mappings and maximal monotone operators
... Theorem 3.1. Let C be nonempty closed convex subset of a uniformly convex and uniformly smooth Banach space E, F: C × C ® ℝ bea bifunction satisfying conditions (A1)-(A4), S : C ® C be a strongly relatively ...
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Strong Convergence of Monotone Hybrid Algorithm for Hemi-Relatively Nonexpansive Mappings
... The purpose of this article is to prove strong convergence theorems for fixed points of closed hemi-relatively nonexpansive mappings. In order to get these convergence theorems, the monotone hybrid ...
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Approximation of Common Fixed Points of a Countable Family of Relatively Nonexpansive Mappings
... Recently, a problem of finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a relatively nonexpansive mapping is studied by Takahashi and ...
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New hybrid method for equilibrium problems and relatively nonexpansive mappings in Banach spaces
... In this paper, motivated by Takahashi-Zembayashi [28], we modify Ishikawa iteration process for finding a common element of the solution set of an equilibrium problem and the set of fixed points of a relatively ...
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A New Strong Convergence Theorem for Equilibrium Problems and Fixed Point Problems in Banach Spaces
... We introduce a new iterative sequence for finding a common element of the set of fixed points of a relatively nonexpansive mapping and the set of solutions of an equilibrium problem in a Banach ...
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On the Weak Relatively Nonexpansive Mappings in Banach Spaces
... weak relatively nonexpansive mapping has been presented and studied by many ...weak relatively nonexpansive mappings and give two examples which are weak relatively ...
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On the Fixed-Point Set of a Family of Relatively Nonexpansive and Generalized Nonexpansive Mappings
... of relatively nonex- pansive mappings is identical to the fixed-point set of a single strongly relatively nonexpansive ...generalized nonexpansive mappings and prove the analogue version of ...
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Strong convergence theorems for equilibrium problems and asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense
... quasi-φ- nonexpansive mapping to an infinite family of asymptotically quasi-φ-nonexpansive map- pings in the intermediate sense, from a mixed equilibrium problem to a family of mixed equilibrium ...
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Compositions and convex combinations of asymptotically regular firmly nonexpansive mappings are also asymptotically regular
... firmly nonexpansive mappings and maximally monotone operators, the notion of a firmly nonexpansive mapping has proven to be of basic importance in fixed point theory, monotone operator theory, and ...
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The generalized viscosity implicit rules of nonexpansive mappings in Hilbert spaces
... The organization of this paper is as follows. In Section , we recall the notion of the metric projection, the demiclosedness principle of nonexpansive mappings and a conver- gence lemma. In Section , the strong ...
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Iterative methods for split variational inclusion and fixed point problem of nonexpansive semigroup in Hilbert spaces
... of nonexpansive mappings, Shehu [] proposed an iterative method for nonexpansive semi- groups, variational inclusions, and generalized equilibrium ...
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Fixed point theorems of (a,b)-monotone mappings in Hilbert spaces
... 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 mappings. As a ...
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Some new results on cyclic relatively nonexpansive mappings in convex metric spaces
... In this article, motivated by Theorem ., we establish a best proximity point theorem for generalized cyclic contraction mappings in convex metric spaces. We also study the structure of minimal sets for cyclic ...
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