A SYSTEM OF GENERALIZED RESOLVENT EQUATIONS INVOLVING GENERALIZED PSEUDOCONTRACTIVE MAPPING

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AHMAD R.; AKRAM M.

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Journal Paper

Paper Information

Journal: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE Year:2013 | Volume:37 | Issue:A3 (SPECIAL ISSUE-MATHEMATICS) Page(s): 431-438

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Title

A SYSTEM OF GENERALIZED RESOLVENT EQUATIONS INVOLVING GENERALIZED PSEUDOCONTRACTIVE MAPPING

Author(s)

AHMAD R. | AKRAM M. | Issue Writer Certificate

Keywords

GENERALIZED RESOLVENT EQUATIONS

VARIATIONAL INCLUSIONS

ALGORITHM

CONVERGENCE

GENERALIZED PSEUDOCONTRACTIVE MAPPING

Abstract

In this paper, we consider a system of GENERALIZED RESOLVENT EQUATIONS involving GENERALIZED PSEUDOCONTRACTIVE MAPPING with corresponding system of VARIATIONAL INCLUSIONS in real Banach spaces. We establish an equivalence between the system of GENERALIZED RESOLVENT EQUATIONS and the system of VARIATIONAL INCLUSIONS using the concept of H(.,.)-co-accretive mapping. Furthermore, we prove the existence of solution of system of GENERALIZED RESOLVENT EQUATIONS and discuss the CONVERGENCE of iterative sequences generated by the proposed ALGORITHM.

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APA: Copy

AHMAD, R., & AKRAM, M.. (2013). A SYSTEM OF GENERALIZED RESOLVENT EQUATIONS INVOLVING GENERALIZED PSEUDOCONTRACTIVE MAPPING. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE, 37(A3 (SPECIAL ISSUE-MATHEMATICS)), 431-438. SID. https://sid.ir/paper/618029/en

Vancouver: Copy

AHMAD R., AKRAM M.. A SYSTEM OF GENERALIZED RESOLVENT EQUATIONS INVOLVING GENERALIZED PSEUDOCONTRACTIVE MAPPING. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE[Internet]. 2013;37(A3 (SPECIAL ISSUE-MATHEMATICS)):431-438. Available from: https://sid.ir/paper/618029/en

IEEE: Copy

R. AHMAD, and M. AKRAM, “A SYSTEM OF GENERALIZED RESOLVENT EQUATIONS INVOLVING GENERALIZED PSEUDOCONTRACTIVE MAPPING,” IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE, vol. 37, no. A3 (SPECIAL ISSUE-MATHEMATICS), pp. 431–438, 2013, [Online]. Available: https://sid.ir/paper/618029/en

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