In this paper, we establish two matching theorems involving three maps. As applications, KKM type theorems, intersections theorems, analytic alternatives and minimax inequalities are obtained. AMS subject classifications: 54H25, 54C60

This paper is devoted to the existence of solutions for generalized variational like inequalities with fuzzy mappings in topological vector spaces by using a particular form of the generalized KKM-Theorem.

The concept of generalized KKM maps was initiated by Kassay-Kolumbán in 1990 and Chang-Zhang 1991. Recently, Balaj his colleagues extended w.r.t. a multimap to weak applied them various problems the theory. However, their results are mainly concerned within realm topological vector spaces. Our aim this article is extend some abstract convex Some related facts also discussed.

Kuliah Kerja Mahasiswa (KKM) merupakan kegiatan pengabdian masyarakat yang harus ditempuh oleh mahasiswa S1. Kondisi pandemi covid mengubah konsep KKM biasa menjadi Tematik. Kegiatan ini berkonsep pada pendampingan mitra secara berkelanjutan di sekitar Universitas Serang Raya (Unsera) dan tempat tinggal mahasiswa. Pendampingan dilakukan dalam beberapa diantaranya: KKM-UM (Unsera Mengajar), KKM-...

In this paper, we introduce the notion of extended relaxed -monotonicity. We obtain existence solution of the generalized mixed equilibrium problems in reflexive Banach spaces with extended relaxed -monotonicity by using the KKM technique. Our results extend and improve the corresponding results in the existing literature.

In this paper, we introduce the concept of generalized relaxed αpseudomonotonicity for vector valued bi-functions. By using the KKM technique, we obtain some substantial results of the vector equilibrium problems with generalized relaxed α-pseudomonotonicity assumptions in reflexive Banach spaces. Several examples are provided to illustrate our investigations.

We apply the KKM technique to study generalized vector implicit variational inequality problem. Our results generalize the works of Huang and Li [8], Li and Huang [11], and represent variant of result of Lee and Farajzadeh [10]. We also obtain a version of best approximations theorem in cone metric spaces.