Existence and convergence theorems for a class of multi-valued variational inclusions in Banach spaces

C. E. Chidume; H. Zegeye; K. R. Kazmi

doi:10.1016/j.na.2004.06.003

Existence and convergence theorems for a class of multi-valued variational inclusions in Banach spaces

C. E. Chidume
, H. Zegeye
, K. R. Kazmi

Mathematics & Statistical Sciences

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

An existence theorem for a new class of multi-valued variational inclusion problems is established in smooth Banach spaces. Further, it is shown that a sequence of a Mann-type iteration algorithm is strongly convergent to the solutions in this class of variational inclusion problems.

Original language	English
Pages (from-to)	649-656
Number of pages	8
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	59
Issue number	5
DOIs	https://doi.org/10.1016/j.na.2004.06.003
Publication status	Published - Nov 2004

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1016/j.na.2004.06.003

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title = "Existence and convergence theorems for a class of multi-valued variational inclusions in Banach spaces",

abstract = "An existence theorem for a new class of multi-valued variational inclusion problems is established in smooth Banach spaces. Further, it is shown that a sequence of a Mann-type iteration algorithm is strongly convergent to the solutions in this class of variational inclusion problems.",

author = "Chidume, \{C. E.\} and H. Zegeye and Kazmi, \{K. R.\}",

year = "2004",

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AU - Chidume, C. E.

AU - Zegeye, H.

AU - Kazmi, K. R.

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N2 - An existence theorem for a new class of multi-valued variational inclusion problems is established in smooth Banach spaces. Further, it is shown that a sequence of a Mann-type iteration algorithm is strongly convergent to the solutions in this class of variational inclusion problems.

AB - An existence theorem for a new class of multi-valued variational inclusion problems is established in smooth Banach spaces. Further, it is shown that a sequence of a Mann-type iteration algorithm is strongly convergent to the solutions in this class of variational inclusion problems.

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AN - SCOPUS:7044227671

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JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 5

ER -

Existence and convergence theorems for a class of multi-valued variational inclusions in Banach spaces

Abstract

All Science Journal Classification (ASJC) codes

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