ITERATIVE ALGORITHMS FOR SYSTEM OF VARIATIONAL INCLUSIONS IN HADAMARD MANIFOLDS

doi:10.1007/s10473-022-0405-4

数学物理学报(英文版) ›› 2022, Vol. 42 ›› Issue (4): 1333-1356.doi: 10.1007/s10473-022-0405-4

ITERATIVE ALGORITHMS FOR SYSTEM OF VARIATIONAL INCLUSIONS IN HADAMARD MANIFOLDS

Qamrul Hasan ANSARI¹, Feeroz BABU², D. R. SAHU³

1. Department of Mathematics, Aligarh Muslim University, Aligarh, 202 002, India;
2. Department of Applied Mathematics, Aligarh Muslim University, Aligarh, 202 002, India;
3. Department of Mathematics, Banaras Hindu University, Varanasi, 221 005, India

收稿日期:2020-08-19 修回日期:2021-05-21 出版日期:2022-08-25 发布日期:2022-08-23
通讯作者: Qamrul Hasan ANSARI,E-mail:qhansari@gmail.com E-mail:qhansari@gmail.com

ITERATIVE ALGORITHMS FOR SYSTEM OF VARIATIONAL INCLUSIONS IN HADAMARD MANIFOLDS

Qamrul Hasan ANSARI¹, Feeroz BABU², D. R. SAHU³

1. Department of Mathematics, Aligarh Muslim University, Aligarh, 202 002, India;
2. Department of Applied Mathematics, Aligarh Muslim University, Aligarh, 202 002, India;
3. Department of Mathematics, Banaras Hindu University, Varanasi, 221 005, India

Received:2020-08-19 Revised:2021-05-21 Online:2022-08-25 Published:2022-08-23
Contact: Qamrul Hasan ANSARI,E-mail:qhansari@gmail.com E-mail:qhansari@gmail.com

摘要/Abstract

摘要： In this paper, we consider system of variational inclusions and its several spacial cases, namely, alternating point problems, system of variational inequalities, etc., in the setting of Hadamard manifolds. We propose an iterative algorithm for solving system of variational inclusions and study its convergence analysis. Several special cases of the proposed algorithm and convergence result are also presented. We present application to constraints minimization problems for bifunctions in the setting of Hadamard manifolds. At the end, we illustrate proposed algorithms and convergence analysis by a numerical example. The algorithms and convergence results of this paper either improve or extend known algorithms and convergence results from linear structure to Hadamard manifolds.

关键词: System of variational inclusions, altering point problems, monotone vector fields, strictly pseudocontractive mappings, Hadamard manifolds

Abstract: In this paper, we consider system of variational inclusions and its several spacial cases, namely, alternating point problems, system of variational inequalities, etc., in the setting of Hadamard manifolds. We propose an iterative algorithm for solving system of variational inclusions and study its convergence analysis. Several special cases of the proposed algorithm and convergence result are also presented. We present application to constraints minimization problems for bifunctions in the setting of Hadamard manifolds. At the end, we illustrate proposed algorithms and convergence analysis by a numerical example. The algorithms and convergence results of this paper either improve or extend known algorithms and convergence results from linear structure to Hadamard manifolds.

Key words: System of variational inclusions, altering point problems, monotone vector fields, strictly pseudocontractive mappings, Hadamard manifolds

中图分类号:

49J53

Qamrul Hasan ANSARI, Feeroz BABU, D. R. SAHU. ITERATIVE ALGORITHMS FOR SYSTEM OF VARIATIONAL INCLUSIONS IN HADAMARD MANIFOLDS[J]. 数学物理学报(英文版), 2022, 42(4): 1333-1356.

Qamrul Hasan ANSARI, Feeroz BABU, D. R. SAHU. ITERATIVE ALGORITHMS FOR SYSTEM OF VARIATIONAL INCLUSIONS IN HADAMARD MANIFOLDS[J]. Acta mathematica scientia,Series B, 2022, 42(4): 1333-1356.

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ITERATIVE ALGORITHMS FOR SYSTEM OF VARIATIONAL INCLUSIONS IN HADAMARD MANIFOLDS

ITERATIVE ALGORITHMS FOR SYSTEM OF VARIATIONAL INCLUSIONS IN HADAMARD MANIFOLDS

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