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Jh H-Proximal mapping for solving variational-like inclusions involving h-cocoercive mappings |
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PP: 39-46 |
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Author(s) |
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Rais Ahmad,
Mohd. Akram,
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Abstract |
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| In this paper, we introduce the new notion of Jh
H-proximal mapping for a nonconvex, lower semicontinuous, h-
subdifferentiable, proper (may not be convex) functional in Banach spaces. The existence and Lipschitz continuity of Jh
H-proximal
mapping are prove. By applying this notion, we study a variational-like inclusion problem in reflexive Banach spaces involving h-
cocoercive mappings and propose a proximal point algorithm for finding the approximate solutions of a variational-like inclusion
problem. The convergence criteria of the iterative sequences generated by the proposed algorithm is also discuss. Some examples are
given. |
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