Fixed Point Theorems for Nonlinear Operators

Fixed point theorems for sums of operators

Quadruple fixed point theorems for nonlinear contractions

The notion of coupled fixed point is introduced by Gnana-Bhaskar and Lakshmikantham. Very recently, the concept of tripled fixed point was introduced by Berinde and Borcut. In this manuscript, a quadruple fixed point is considered and some new related fixed point theorems are obtained. We also give some examples to illustrate our results. © 2012 Elsevier Ltd. All rights reserved.

Fixed point theorems for middle point linear operators in L

In this paper we introduce the notion of middle point linear operators. We prove a fixed point result for middle point linear operators in L. We then present some examples and, as an application, we derive a Markov-Kakutani type fixed point result for commuting family of α-nonexpansive and middle point linear operators in L.

Fixed Point Theorems for Middle Point Linear Operators in L1

Approximate fixed point theorems for Geraghty-contractions

The purpose of this paper is to obtain necessary and suffcient conditionsfor existence approximate fixed point on Geraghty-contraction. In this paper,denitions of approximate -pair fixed point for two maps Tα , Sα and theirdiameters are given in a metric space.