Without knowledge of the issues, the right tools, and a well-thought out development methodology, floating-point applications can in fact suffer the same problems as fixed-point equivalents. The reduced precision and range of fixed-point numbers means that fixed-point applications encounter stability problems more easily than floating-point applications, but both types of applications encounter...

Keywords: Upper and lower solutions p-Laplacian operator Fractional differential equation Integral boundary condition Eigenvalue a b s t r a c t In this paper, we are concerned with the eigenvalue problem of a class of singular p-Lapla-cian fractional differential equations involving the Riemann–Stieltjes integral boundary condition. The conditions for the existence of at least one positive sol...

We ask whether strictly causal components form well defined systems when arranged in feedback configurations. The standard interpretation for such configurations induces a fixed-point constraint on the function modelling the component involved. We define strictly causal functions formally, and show that the corresponding fixed-point problem does not always have a well defined solution. We exami...

*Correspondence: [email protected] Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia Abstract We study the existence and uniqueness of fixed points for self-operators defined in a b-metric space and belonging to the class of (α,ψ )-type contraction mappings. The obtained results generalize and unify several existing fixed point theor...

In this paper, we give some definitions and conclusions in dislocated quasimetric spaces. Also, we establish two fixed point theorems for multivalued mappings in these spaces.

Some results regarding the existence of a fixed point for a multivalued non-expansive mapping defined on an unbounded subset of a reflexive Banach space are established.