An ideal I of a ring R is called right Baer-ideal if there exists an idempotent e 2 R such that r(I) = eR. We know that R is quasi-Baer if every ideal of R is a right Baer-ideal, R is n-generalized right quasi-Baer if for each I E R the ideal In is right Baer-ideal, and R is right principaly quasi-Baer if every principal right ideal of R is a right Baer-ideal. Therefore the concept of Baer idea...

We introduce a new system of generalized vector quasiequilibrium problems which includes system of vector quasiequilibrium problems, system of vector equilibrium problems, and vector equilibrium problems, and so forth in literature as special cases.We prove the existence of solutions for this system of generalized vector quasi-equilibrium problems. Consequently, we derive some existence results...

Two generalized uniform structures namely fuzzy quasi-uniformity and fuzzy local quasi-uniformity are introduced. Conditions of fuzzy quasi-uniformizability and quasi-metrizability are examined. Mathematics Subject Classification: 54E15, 54A20

The aim of the present paper is to extend classical fractal theory using condensing maps and generalized contractions semimetric spaces. Our method independent from approach Hutchinson: It based on Kuratowski measure noncompactness avoids completely Blaschke Completeness Theorem.

Abstract The purpose of this article is to present, under weaker assumptions, some local fixed point theorems for Ćirić–Reich–Rus, Chatterjea and Berinde type generalized contractions. Then, as applications we will obtain open mapping continuation principles these classes mappings.

In this paper, we prove the existence of a common random fixed point of two random multivalued generalized contractions by using functional expressions.

In this paper, we introduce and study a new class of generalized nonlinear mixed quasi-variational inequalities involving maximal η-monotone mapping. Using the resolvent operator technique for maximal η-monotone mapping, we prove the existence of solution for this kind of generalized nonlinear multi-valued mixed quasi-variational inequalities without compactness and the convergence of iterative...

In this paper, a new class of (h, η)-proximal mappings for proper functionals in Hilbert spaces is introduced. The existence and Lipschitz continuity of the (h, η)-proximal mappings for proper functionals are proved. A class of generalized nonlinear quasi-variational-like inclusions in Hilbert spaces is introduced. A perturbed three-step iterative algorithm with errors for the generalized nonli...