In this paper, we obtain the results of coincidence and common fixed points in b-metric spaces. We work with a new type multivalued quasi-contractive mapping nonlinear comparison functions. Our generalize improve several recent results. Additionally, give an application obtained to dynamical systems.

After the appearance of relation-theoretic contraction principle due to Alam and Imdad, domain fixed point theory applied relational metric spaces has attracted much attention. Existence uniqueness fixed/coincidence points satisfying different types contractivity conditions in framework space have been studied recent times. Such results great advantage solve certain matrix equations boundary va...

In this paper, by using the concept of belongingness (∈) and quasi-coincidence (q) between fuzzy points and fuzzy sets, we introduce (α, β)-fuzzy positive implicative ideals in BCK-algebras where α, β are any of {∈, q, ∈ ˅ q, ∈ ˄ q} with α ≠ ∈ ˄ q.

We introduce the concept of (γ, δ)-bifuzzy Lie subalgebra, where γ, δ are any two of {∈, q, ∈∨q, ∈∧q} with γ ≠ ∈∧q, by using belongs to relation (∈) and quasi-coincidence with relation (q) between bifuzzy points and bifuzzy sets and discuss some of its properties. Then we introduce bifuzzy soft Lie subalgebras and investigate some of their properties.

In this paper, we prove existence of coincidence points and a common fixed point theorem for four maps under contractive conditions in cone metric spaces for non continuous mappings and relaxation of completeness in the space. These results extend and improve several well known comparable results in the existing literature. Mathematics Subject Classification: 47H10, 54H25.

This paper characterizes the existence of equilibria in minimax inequalities without assuming any form of quasiconcavity of functions and convexity or compactness of choice sets. A new condition, called “local dominatedness property”, is shown to be necessary and further, under some mild continuity condition, sufficient for the existence of equilibrium. We then apply the basic result obtained i...

Nielsen theory, originally developed as a homotopy-theoretic approach to fixed point theory, has been translated and extended to various other problems, such as the study of periodic points, coincidence points and roots. In this paper, the techniques of Nielsen theory are applied to the study of intersections of maps. A Nielsen-type number, the Nielsen intersection number NI(f, g), is introduce...

We discuss the possibility to measure entropy of the system created in heavy ion collisions using the Ma coincidence method.

Using the belongs to relation (∈) and quasi-coincidence with relation (q) between fuzzy points and fuzzy sets, the concept of (α, β)-fuzzy subalgebras where α, β are any two of {∈, q, ∈∨ q, ∈ ∧ q} with α 6=∈ ∧ q is introduced, and related properties are