In this note we investigate the stability of game theoretic and economic solution concepts under input perturbations. The existence of many of these solutions is proved using fixed point theorems. We note that fixed point theorems, in general, do not provide stable solutions, and we show how some commonly studied solution concepts are indeed not stable under perturbation of the inputs.

The aim of this paper is to obtain some common fixed point theorems for hybrid pairs of single and multi-valued occasionally weakly compatible mappings using a symmetric derived from an ordinary symmetric d in b-metric space.

Much has been written about systems in which each constant is a solution and each solution approaches a constant. It is a small step to conjecture that functions promoting such behavior constitute harmless perturbations of stable equations. That idea leads to a new way of avoiding delay terms in a functional-differential equation. In this paper we use fixed point theory to show that such a conj...

In this paper the authors study the existence and asymptotic stability in p-th moment of mild solutions to stochastic neutral partial differential equation with impulses. Their method for investigating the stability of solutions is based on the fixed point theorem.

In this work, we discuss the definition of the Reich contraction single or multivalued mappings defined in a modular metric space. In our investigation, we prove the existence of fixed point results for these mappings. c ©2016 All rights reserved.

The objective of this paper is to obtain some common fixed point theorems for hybrid pairs of single and multi-valued occasionally weakly compatible mappings in b-metric space.

In this paper we present some common fixed point theorems for occasionally weakly compatible mapping in fuzzy metric spaces.

We present a constructive proof of Brouwer’s fixed point theorem with sequentially at most one fixed point, and apply it to the mini-max theorem of zero-sum games.

Banach's contraction principle has been improved and extensively studied on several generalized metric spaces. Recently, complex-valued $S$-metric spaces have been introduced and studied for this purpose. In this paper, we investigate some generalized fixed point results on a complete complex valued $S$-metric space. To do this, we prove some common fixed point (resp. fixed point) theorems usin...

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...