Concepedia

Mann Iteration

Mann Iteration is an iterative approximation method in fixed point theory that generates a sequence by taking convex combinations of the current iterate and its image under a given mapping, specifically designed to converge to a fixed point of nonexpansive operators in Banach spaces.

187

Publications

8.1K

Citations

264

Authors

165

Institutions

Publications per year

2017–2026

42

Variants

Mann Iteration Method

Parents

Publications

187

Ishikawa and Mann Iterative Process with Errors for Nonlinear Strongly Accretive Mappings in Banach Spaces

Lishan Liu · Journal of Mathematical Analysis and Applications · 1995 · 542 citations

, , +10

On the rate of convergence of Mann, Ishikawa, Noor and SP-iterations for continuous functions on an arbitrary interval

Withun Phuengrattana, Suthep Suantai · Journal of Computational and Applied Mathematics · 2010 · 255 citations

, , +12

Strong convergence of modified Mann iterations

Tae-Hwa Kim, Hong‐Kun Xu · Nonlinear Analysis · 2005 · 233 citations

, , +11

Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators

Vasile Berinde · Fixed Point Theory and Applications · 2004 · 231 citations · Full text

, , +15

Ishikawa and Mann Iterative Processes with Errors for Nonlinear Strongly Accretive Operator Equations

Yuguang Xu · Journal of Mathematical Analysis and Applications · 1998 · 221 citations

, , +11

1–5 of 187

Authors

264

  1. LC
    Lu-Chuan Ceng

    Shanghai Normal University, China

    17 publications · 486 citations

    14

    h-index

  2. JY
    Jen‐Chih Yao

    National Sun Yat-sen University, Taiwan

    15 publications · 554 citations

    13

    h-index

  3. ΒE
    Β. E. Rhoades

    Indiana University Bloomington, United States

    10 publications · 318 citations

    10

    h-index

  4. ŞM
    Ştefan M. Şoltuz

    Indiana University Bloomington, United States

    8 publications · 268 citations

    8

    h-index

  5. CC
    C.E. Chidume

    The Abdus Salam International Centre for Theoretical Physics (ICTP), Italy

    7 publications · 369 citations

    7

    h-index

1–5 of 264

Institutions

165

  1. Shanghai Normal University

    Shanghai, China

    13 h-index

    21 publications

    665 citations

  2. China Medical University

    Taichung, Taiwan

    11 h-index

    15 publications

    625 citations

  3. Gyeongsang National University

    Jinju-si, South Korea

    10 h-index

    17 publications

    503 citations

  4. King Abdulaziz University

    Jeddah, Saudi Arabia

    10 h-index

    11 publications

    483 citations

  5. Kaohsiung Medical University

    Kaohsiung City, Taiwan

    9 h-index

    10 publications

    191 citations

  6. Indiana University Bloomington

    Bloomington, United States

    8 h-index

    8 publications

    289 citations

  7. University of KwaZulu-Natal

    Durban, South Africa

    7 h-index

    13 publications

    992 citations

  8. Chiang Mai University

    Chiang Mai, Thailand

    7 h-index

    12 publications

    842 citations

1–8 of 165

Venues

  1. Fixed Point Theory and Applications

    28 publications · 1K citations

    16

    h-index

  2. Journal of Mathematical Analysis and Applications

    15 publications · 1.5K citations

    15

    h-index

  3. Nonlinear Analysis

    14 publications · 961 citations

    12

    h-index

  4. Numerical Functional Analysis and Optimization

    10 publications · 339 citations

    10

    h-index

  5. Journal of Inequalities and Applications

    10 publications · 307 citations

    10

    h-index

1–5