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

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Mathematics and Computing (ICMC 2017)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 655))

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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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Authors and Affiliations

  1. Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur, India

    N. K. Mahato

  2. Central University Florida, Orlando, USA

    R. N. Mohapatra

Authors
  1. N. K. Mahato
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  2. R. N. Mohapatra
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Corresponding author

Correspondence to N. K. Mahato .

Editor information

Editors and Affiliations

  1. Haldia Institute of Technology, Haldia, India

    Debasis Giri

  2. University of Central Florida, Orlando, Florida, USA

    Ram N. Mohapatra

  3. Freie Universität Berlin, Berlin, Germany

    Heinrich Begehr

  4. Fordham University, Bronx, New York, USA

    Mohammad S. Obaidat

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© 2017 Springer Nature Singapore Pte Ltd.

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Mahato, N.K., Mohapatra, R.N. (2017). Existence Results of a Generalized Mixed Exponential Type Vector Variational-Like Inequalities. In: Giri, D., Mohapatra, R., Begehr, H., Obaidat, M. (eds) Mathematics and Computing. ICMC 2017. Communications in Computer and Information Science, vol 655. Springer, Singapore. https://doi.org/10.1007/978-981-10-4642-1_18

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

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-4641-4

  • Online ISBN: 978-981-10-4642-1

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