Existence Results of a Generalized Mixed Exponential Type Vector Variational-Like Inequalities

N K Mahato,R N Mohapatra

doi:10.1007/978-981-10-4642-1_18

Existence Results of a Generalized Mixed Exponential Type Vector Variational-Like Inequalities

N K Mahato, R N Mohapatra

https://doi.org/10.1007/978-981-10-4642-1_18

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Publication Date: Jan 1, 2017

Affiliation: University of Central Florida

#Monotone Mapping #Mixed Variational-like Inequality Problems + Show 8 more

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Abstract

In this paper, we introduce a new generalized mixed exponential type vector variational-like inequality problems (GMEVVLIP) and \(\alpha \)-relaxed exponentially \((p,\eta )\)-monotone mapping. We prove the existence results of (GMEVVLIP) by utilizing the KKM technique and Nadlar’s results with \(\alpha \)-relaxed exponentially \((p,\eta )\)-monotone mapping in Euclidian spaces. The present work extends some corresponding results of (GMEVVLIP) [1].

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