Existence Theorem for Vector Quasi-Variational-like Inequalities

Lee, Byung-Soo; Salahuddin, Salahuddin

doi:10.5899/2012/jnaa-00121

Journal of Nonlinear Analysis and Application

2012

DOI: 10.5899/2012/jnaa-00121

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Existence Theorem for Vector Quasi-Variational-like Inequalities

Byung-Soo Lee¹,

Salahuddin Salahuddin²

Abstract: In this paper, using the maximal element theorem, we prove some existence theorem for vector quasi-variational-like inequalities without monotonicity and without compactness.

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2016

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References 19 publications

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Iterative Algorithm for extended mixed equilibrium problem

Ahmad¹,

Rizvi²,

Kılıçman³

2016

ntmsci

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Abstract:In this paper, we introduce and study an extended mixed equilibrium problem by using auxiliary principle technique. A generalized predictor-corrector iterative algorithm is defined for solving extended mixed equilibrium problem. The convergence of the method mentioned requires some condition ( * ), g-relatively relaxed Lipschitz continuity and relatively g-relaxed monotonicity of the mappings.

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Iterative Algorithm for extended mixed equilibrium problem

Ahmad¹,

Rizvi²,

Kılıçman³

2016

ntmsci

View full text Add to dashboard Cite

show abstract

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Existence Theorem for Vector Quasi-Variational-like Inequalities

Abstract: In this paper, using the maximal element theorem, we prove some existence theorem for vector quasi-variational-like inequalities without monotonicity and without compactness.

Cited by 1 publication

References 19 publications

Iterative Algorithm for extended mixed equilibrium problem

Iterative Algorithm for extended mixed equilibrium problem

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