Resolvent operator technique for solving a system of generalized variational-like inclusions in Banach spaces | Zendy

Rais Ahmad | Zendy; Mohammad Dilshad | Zendy; Mohammad Akram | Zendy

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Resolvent operator technique for solving a system of generalized variational-like inclusions in Banach spaces

Author(s) -

Rais Ahmad,

Mohammad Dilshad,

Mohammad Akram

Publication year - 2012

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1205897a

Subject(s) - mathematics , resolvent , banach space , operator (biology) , convergence (economics) , iterative method , resolvent formalism , mathematical analysis , finite rank operator , pure mathematics , algorithm , biochemistry , chemistry , repressor , transcription factor , economics , gene , economic growth

In this paper, we apply H(·, ·)-η-cocoercive operator introduced in (2) for solving a system of generalized variational-like inclusions in q-uniformly smooth Banach spaces. By using the approach of resolvent operator associated with H(·, ·)-η-cocoercive operator, an iterative algorithm for solving a system of generalized variational-like inclusions is constructed. We prove the existence of solutions of system of generalized variational-like inclusions and convergence of iterative sequences generated by the algorithm. An example through Matlab programming is constructed.

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