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Information Journal Paper

Title

NON-LINEAR ERGODIC THEOREMS IN COMPLETE NON-POSITIVE CURVATURE METRIC SPACES

Pages

  11-20

Abstract

 Hadamard (or completeCAT (0)) spaces are complete, non-positive curvature, metric spaces. Here, we prove a nonlinear ergodic theorem for CONTINUOUS NON-EXPANSIVE SEMIGROUP in these spaces as well as a strong convergence theorem for the commutative case. Our results extend the standard NON-LINEAR ERGODIC THEOREMs for non-expansive maps on real Hilbert spaces, to non-expansive maps on HADAMARD SPACEs, which include for example (possibly infinite-dimensional) complete simply connected Riemannian manifolds with non-positive sectional curvature.

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    APA: Copy

    AHMADI KAKAVANDI, B., & AMINI, M.. (2011). NON-LINEAR ERGODIC THEOREMS IN COMPLETE NON-POSITIVE CURVATURE METRIC SPACES. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 37(3), 11-20. SID. https://sid.ir/paper/571885/en

    Vancouver: Copy

    AHMADI KAKAVANDI B., AMINI M.. NON-LINEAR ERGODIC THEOREMS IN COMPLETE NON-POSITIVE CURVATURE METRIC SPACES. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2011;37(3):11-20. Available from: https://sid.ir/paper/571885/en

    IEEE: Copy

    B. AHMADI KAKAVANDI, and M. AMINI, “NON-LINEAR ERGODIC THEOREMS IN COMPLETE NON-POSITIVE CURVATURE METRIC SPACES,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 37, no. 3, pp. 11–20, 2011, [Online]. Available: https://sid.ir/paper/571885/en

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