# Fixed Points and Nonexpansive Mappings

The strong convergence theorems of the proposed technique is proved under certain assumptions imposed on the sequence of parameters. The results presented in this work extend and improve some recent announced in the literature.

Revised 26 March Abstract In this paper, we establish viscosity rule for common fixed points of two nonexpansive mappings in the framework of CAT 0 spaces. References Bridson, M. Metric spaces of non-positive curvature, volume of Grundlehren der Mathematischen Wissenschaften [ Fundamental Principles of Mathematical Sciences ].

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Alghamdi, M. The implicit midpoint rule for nonexpansive mappings. Viscosity solutions of minimization problems. SIAM J. Asymptotic error expansions for stiff equations: an analysis for the implicit midpoint and trapezoidal rules in the strongly stiff case.

Numerische Mathematik, 56 5 , Lim, A fixed point theorem for multivalued nonexpansive mappings in a uniformly convex Banach space , Bull. Soc, 80 6 Mora, Optimization by space-densifying curves as a natural generalization of the Alienor method , Kybernetes, 29 Mora, Y. Appl, 33 9 Cherruault, An approximation method for the optimization of continuous functions of n variables by densifying their domains , Kybernetes, 28 2 Mora, D.

Redtwitz, Densifiable metric spaces , Rev.

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## Proximal operator

A Math. Na, Y.

Tang, Weak and strong convergence theorems of fixed points for total asymptotically nonexpansive multi-valued mappings in Banach spaces , Appl. Sci, 8 39 Nadler, Multi-valued contraction mappings , Pacific J.

Fixed Points

Math, 30 2 Neammanee, A. Kaewkhao, Fixed point theorems of multi-valued Zamfirescu mapping , Journal of Mathematics Research, 2 2 Panyanak, Mann and Ishikawa iterative processes for multivalued mappings in Banach spaces , Comput. Appl, 54 Sastry, G.

## On the fixed points of nonexpansive mappings in direct sums of Banach spacesAll

Babu, Convergence of Ishikawa iterates for a multi-valued mapping with a fixed point , Czechoslovak Math. J, 55 4 Song, Y. Cho, Some notes on Ishikawa iteration for multivalued mappings , Bull. Korean Math. Email: ebbonya gmail. Email: iftikharcheema gmail. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

In this paper, we establish viscosity rule for common fixed points of two nonexpansive mappings in the framework of CAT 0 spaces. The strong convergence theorems of the proposed technique is proved under certain assumptions imposed on the sequence of parameters. The results presented in this work extend and improve some recent announced in the literature. Revised 26 March Abstract In this paper, we establish viscosity rule for common fixed points of two nonexpansive mappings in the framework of CAT 0 spaces.

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References Bridson, M. Metric spaces of non-positive curvature, volume of Grundlehren der Mathematischen Wissenschaften [ Fundamental Principles of Mathematical Sciences ].

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Alghamdi, M. The implicit midpoint rule for nonexpansive mappings.