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Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-ϕ-nonexpansive mappings

open access: yesFixed Point Theory and Applications, 2011
We consider a hybrid projection method for finding a common element in the fixed point set of an asymptotically quasi-ϕ-nonexpansive mapping and in the solution set of an equilibrium problem.
Kim Jong
doaj  

Fixed point theorem for generalized weak contractions satisfying rational expressions in ordered metric spaces

open access: yesFixed Point Theory and Applications, 2011
In this paper, we prove a fixed point theorem for generalized weak contractions satisfying rational expressions in partially ordered metric spaces. The result is a generalization of a recent result of Harjani et al. (Abstr. Appl.
Luong Nguyen Van, Thuan Nguyen
doaj  

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