In the present paper, slightly modifying the topological KKM Theorem of Park and Kim (1996), we obtain a new existence theorem for generalized vector equilibrium problems related to an admissible multifunction. We work here under the general framework of G-convex space which does not have any linear structure. Also, we give applications to greatest element, fixed point and vector saddle point p...

In this paper, we introduced the generalized vector variational inequality-type problem and the generalized vector complementarity-type problem in the setting of topological vector space. By utilizing a modified version of the Fan–KKM theorem, we investigated the nonemptyness and compactness of solution sets of these problems without the demipseudomonotonicity assumption. Further, we prove that...

This paper provides necessary and sufficient conditions for the existence of solutions for some important problems from optimization and non-linear analysis by replacing two typical conditions—continuity and quasiconcavity with a unique condition, weakening topological vector spaces to arbitrary topological spaces that may be discrete, continuum, non-compact or non-convex. We establish a single...

The aim of this paper is to establish the existence of at least one solution for a general inequality of quasi-hemivariational type, whose solution is sought in a subset K of a real Banach space E . First, we prove the existence of solutions in the case of compact convex subsets and the case of bounded closed and convex subsets. Finally, the case when K is the whole space is analyzed and necess...

We establish the existence of a best proximity pair for which the best proximity set is nonempty for a finite family of multimaps whose product is either an Ac -multimap or a multimap T : A → 2 such that both T and S ◦ T are closed and have the KKM property for each Kakutani multimap S : B → 2. As applications, we obtain existence theorems of equilibrium pairs for free n-person games as well as...

Penelitian ini dilatarbelakangi oleh rendahnya keterlibatan siswa sehingga berdampak pada hasil belajar kelas VIII SMP. menggunakan pendekatan kualitatif dengan penelitian tindakan kelas, terdiri dari empat langkah yaitu persiapan, pelaksanaan, observasi, dan refleksi. Hasil matematika meningkat karena yang telah dilakukan. dilakukan terhadap 44 VIII-5 genap satu semester di salah SMP Bekasi. T...

قابها-p روی فضاهای باناخ توسیع مستقیمی از قابها روی فضاهای هیلبرت می باشند. برخلاف انواع دیگر قابها، نگاشت -قابها به دلیل خطی نبودن نگاشت دوگانی، خاصیت خطی و عملگری خود را از دست داده و مانند یک نگاشت غیر خطی -p قاب مانند -pقابها خواصی از نگاشت -p به دوگان آن عمل می کند. در این مقاله با گذاشتن شرایطی روی X از فضای باناخ ،$T^{perp}$با الحاق عملگر U بطور ضعیف پیوستگی، یکن...