FIXED POINTS FOR TOTAL ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN A NEW VERSION OF BEAD SPACE

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RAZANI A.

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2014 | Volume:6 | Issue:4 Page(s): 329-332

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Title

FIXED POINTS FOR TOTAL ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN A NEW VERSION OF BEAD SPACE

Author(s)

RAZANI A. | Issue Writer Certificate

Keywords

BEAD SPACE

CAT (0) SPACE

FIXED POINT

TOTAL ASYMPTOTICALLY NONEXPANSIVE MAPPING

Abstract

The notion of a bead metric space is defined as a nice generalization of the uniformly convex normed space such as CAT (0) space, where the curvature is bounded from above by zero. In fact, the BEAD SPACEs themselves can be considered in particular as natural extensions of convex sets in uniformly convex spaces and normed BEAD SPACEs are identical with uniformly convex spaces. In this paper, we dene a new version of BEAD SPACE and called it CN -BEAD SPACE. Then the existence of FIXED POINT for asymptotically nonexpansive mapping and TOTAL ASYMPTOTICALLY NONEXPANSIVE MAPPING in CN -BEAD SPACE are proved. In other word, Let K be a bounded subset of complete CN -BEAD SPACE X. Then the FIXED POINT set F (T), where T is a total asymptotically nonexpansive selfmap on K, is nonempty and closed. Moreover, the FIXED POINT set F (T), where T is an asymptotically nonexpansive selfmap on K, is nonempty.

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References

BEAD SPACES AND FIXED POINT THEOREM

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APA: Copy

RAZANI, A.. (2014). FIXED POINTS FOR TOTAL ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN A NEW VERSION OF BEAD SPACE. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 6(4), 329-332. SID. https://sid.ir/paper/630581/en

Vancouver: Copy

RAZANI A.. FIXED POINTS FOR TOTAL ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN A NEW VERSION OF BEAD SPACE. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2014;6(4):329-332. Available from: https://sid.ir/paper/630581/en

IEEE: Copy

A. RAZANI, “FIXED POINTS FOR TOTAL ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN A NEW VERSION OF BEAD SPACE,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 6, no. 4, pp. 329–332, 2014, [Online]. Available: https://sid.ir/paper/630581/en

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