[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.22771/nfaa.2021.26.03.03

STUDY OF SOME GENERALIZED h-VARIATIONAL INEQUALITY PROBLEMS IN H-PSEUDOSPACE

Das, Prasanta K. (School of Applied Sciences(Mathematics) KIIT Deemed to be University)
Mishra, Satya N. (Department of Mathematics Bhadrak Institute of Engineering and Technology)
Samal, Sapan K. (School of Applied Sciences(Mathematics) KIIT Deemed to be University)

Publication Information

Nonlinear Functional Analysis and Applications / v.26, no.3, 2021 , pp. 475-496 More about this Journal

Abstract

The main aim is to define a new class of generalized h-variational inequality problems and its generalized h-variational inequality problems. We define the class of h-𝜂-invex set, h-𝜂-invex function and H-pseudospace. Existence of the solution of the problems are established in H-pseudospace with the help of H-KKM mapping theorem and HC_*-condition of 𝜂 associated with the function h.

Keywords

H-pseudospace; h- ${\eta}$ -invex set; $HC_*$ -condition; generalized h-variational inequality problems; H-KKM mapping;

Citations & Related Records

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