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Information Journal Paper

Title

A SYSTEM OF GENERALIZED VARIATIONAL INCLUSIONS INVOLVING G-η-MONOTONE MAPPINGS

Pages

  35-47

Abstract

 We introduce a new concept of general G-h -monotone operator generalizing the general (H,h) -monotone operator [2, 3], general H-monotone operator [26] in Banach spaces, and also generalizing G-h -monotone operator [29], (A,h) -monotone operator [24], A-monotone operator [23], (H,h) -monotone operator [11], H-monotone operator [10, 12], maximal h -monotone operator [8] and classical maximal MONOTONE OPERATORs [28] in Hilbert spaces.We provide some examples and study some properties of general G-h -monotone operators. Moreover, the generalized PROXIMAL MAPPING associated with this type of MONOTONE OPERATOR is defined and its Lipschitz continuity is established. Finally, using Lipschitz continuity of generalized PROXIMAL MAPPING under some conditions a new system of VARIATIONAL INCLUSIONS is solve.

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    • Cite

    APA: Copy

    ROOHI, M., & ALIMOHAMMADY, M.. (2011). A SYSTEM OF GENERALIZED VARIATIONAL INCLUSIONS INVOLVING G-η-MONOTONE MAPPINGS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 37(2), 35-47. SID. https://sid.ir/paper/572431/en

    Vancouver: Copy

    ROOHI M., ALIMOHAMMADY M.. A SYSTEM OF GENERALIZED VARIATIONAL INCLUSIONS INVOLVING G-η-MONOTONE MAPPINGS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2011;37(2):35-47. Available from: https://sid.ir/paper/572431/en

    IEEE: Copy

    M. ROOHI, and M. ALIMOHAMMADY, “A SYSTEM OF GENERALIZED VARIATIONAL INCLUSIONS INVOLVING G-η-MONOTONE MAPPINGS,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 37, no. 2, pp. 35–47, 2011, [Online]. Available: https://sid.ir/paper/572431/en

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