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On convergence criteria of generalized proximal point algorithms |
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| Authors: | Yonghong Yao Muhammad Aslam Noor |
| Affiliation: | aDepartment of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China bMathematics Department, COMSATS Institute of Information Technology, Islamabad, Pakistan |
| Abstract: | We analyze some generalized proximal point algorithms which include the previously known proximal point algorithms as special cases. Weak and strong convergence of the proposed proximal point algorithms are proved under some mild conditions. |
| Keywords: | Maximal monotone operator Proximal point algorithm Nonexpansive mapping Resolvent identity Convergence analysis |
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