Araştırma Makalesi

Mixed Variational-like Inequality Problems in Abstract Convex Spaces

Cilt: 3 Sayı: 2 30 Haziran 2020
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Mixed Variational-like Inequality Problems in Abstract Convex Spaces

Abstract

P.K. Das and G.C. Nayak [3] introduced the concept of generalized variational like inequalities in H-spaces in the presence of $T$-$\eta$-invex function. There the existence theorems of mixed generalized variational like inequalities are studied in H-spaces and also in Riesz spaces in the presence of $T$-$\eta$-invex function. In the present note, we extend their results to partial KKM spaces, which contain H-spaces as very particular subclass.

Keywords

Kaynakça

  1. [1] C. Bardaro, R. Ceppitelli, Some further generalizations of Knaster-Kuratowski-Mazurkiewicz theorem and minimax in- equalities, J. Math. Anal. Appl. 132(2) (1988), 484-490.
  2. [2] C. Bardaro and R. Ceppitelli, Applications of generalized of Knaster-Kuratowski-Mazurkiewicz theorem to variational inequalities, J. Math. Anal. Appl. 137(1) (1989), 46-58.
  3. [3] P.K. Das and G.C. Nayak, Mixed variational-like inequality problems in H-space, Adv. Nonlinear Variat. Ineq. 22(1) (2019), 14-23.
  4. [4] C.D. Horvath, Contractibility and generalized convexity, J. Math. Anal. Appl. 156 (1991), 341-357.
  5. [5] G.C. Nayak and P.K. Das, S-η-invex function and its associated generalized variational inequalities, PanAmerican Math. J. 24(2) (2014), 41-55.
  6. [6] S. Park, The KKM principle in abstract convex spaces: Equivalent formulations and applications, Nonlinear Anal. 73 (2010), 1028-1042.
  7. [7] S. Park, A genesis of general KKM theorems for abstract convex spaces: Revisited, J. Nonlinear Anal. Optim. 4(2) (2013), 127-132.
  8. [8] S. Park, Review of recent studies on the KKM theory, II, Nonlinear Funct. Anal. Appl. 19(1) (2014), 143-155.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Haziran 2020

Gönderilme Tarihi

18 Mart 2020

Kabul Tarihi

27 Mayıs 2020

Yayımlandığı Sayı

Yıl 2020 Cilt: 3 Sayı: 2

Kaynak Göster

APA
Lee, W. (2020). Mixed Variational-like Inequality Problems in Abstract Convex Spaces. Results in Nonlinear Analysis, 3(2), 59-67. https://izlik.org/JA85TB39AA
AMA
1.Lee W. Mixed Variational-like Inequality Problems in Abstract Convex Spaces. RNA. 2020;3(2):59-67. https://izlik.org/JA85TB39AA
Chicago
Lee, Wanbok. 2020. “Mixed Variational-like Inequality Problems in Abstract Convex Spaces”. Results in Nonlinear Analysis 3 (2): 59-67. https://izlik.org/JA85TB39AA.
EndNote
Lee W (01 Haziran 2020) Mixed Variational-like Inequality Problems in Abstract Convex Spaces. Results in Nonlinear Analysis 3 2 59–67.
IEEE
[1]W. Lee, “Mixed Variational-like Inequality Problems in Abstract Convex Spaces”, RNA, c. 3, sy 2, ss. 59–67, Haz. 2020, [çevrimiçi]. Erişim adresi: https://izlik.org/JA85TB39AA
ISNAD
Lee, Wanbok. “Mixed Variational-like Inequality Problems in Abstract Convex Spaces”. Results in Nonlinear Analysis 3/2 (01 Haziran 2020): 59-67. https://izlik.org/JA85TB39AA.
JAMA
1.Lee W. Mixed Variational-like Inequality Problems in Abstract Convex Spaces. RNA. 2020;3:59–67.
MLA
Lee, Wanbok. “Mixed Variational-like Inequality Problems in Abstract Convex Spaces”. Results in Nonlinear Analysis, c. 3, sy 2, Haziran 2020, ss. 59-67, https://izlik.org/JA85TB39AA.
Vancouver
1.Wanbok Lee. Mixed Variational-like Inequality Problems in Abstract Convex Spaces. RNA [Internet]. 01 Haziran 2020;3(2):59-67. Erişim adresi: https://izlik.org/JA85TB39AA