Add to ORKGIf is a complete metric space and is a contraction on , then the conclusion of the Banach-Caccioppoli contraction principle is that the sequence of successive approximations of starting from any point converges to a unique fixed point. In this paper, using the concept of -distance, we obtain simple, sufficient, and necessary conditions of the above conclusion.</p
Abstract. In this paper we present some equivalent statements with the fixed point property of a met...
Abstract Results dealing with a Fixed Point for a map need not be continuous on a metric space, whic...
In this paper, we prove several fixed point theorems, which are generalizations of the Banach contra...
Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any m...
Stability of fixed points of contraction mappings has been studied by Bonsall (cf. [2]) and Nadler (...
AbstractIn this paper, we prove fixed point theorems in a complete metric space using the concept of...
Banach fixed point theorem (contraction theorem) is a unique fixed point theorem on a mapping calle...
Abstract. This paper will study contractions of metric spaces. To do this, we will mainly use tools ...
In Chapter I of this thesis, we attempt to give a comprehensive survey of most of the well known res...
This is a monograph on fixed point theory, covering the purely metric aspects of the theory–particul...
Abstract. Stability of fixed points of contraction mappings has been studied by Bonsall (cf. [2]) an...
Diaz and Metcalf [2] have some interesting results on the set of successive approximations of a self...
We prove some general theorems on the convergence of successive approximations xn=Axn-1 to a fixed p...
Here we introduce a generalisation of the Banach contraction mapping principle. We show that the res...
The main aim of this thesis is to investigate fixed and periodic points under contraction or distanc...
Abstract. In this paper we present some equivalent statements with the fixed point property of a met...
Abstract Results dealing with a Fixed Point for a map need not be continuous on a metric space, whic...
In this paper, we prove several fixed point theorems, which are generalizations of the Banach contra...
Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any m...
Stability of fixed points of contraction mappings has been studied by Bonsall (cf. [2]) and Nadler (...
AbstractIn this paper, we prove fixed point theorems in a complete metric space using the concept of...
Banach fixed point theorem (contraction theorem) is a unique fixed point theorem on a mapping calle...
Abstract. This paper will study contractions of metric spaces. To do this, we will mainly use tools ...
In Chapter I of this thesis, we attempt to give a comprehensive survey of most of the well known res...
This is a monograph on fixed point theory, covering the purely metric aspects of the theory–particul...
Abstract. Stability of fixed points of contraction mappings has been studied by Bonsall (cf. [2]) an...
Diaz and Metcalf [2] have some interesting results on the set of successive approximations of a self...
We prove some general theorems on the convergence of successive approximations xn=Axn-1 to a fixed p...
Here we introduce a generalisation of the Banach contraction mapping principle. We show that the res...
The main aim of this thesis is to investigate fixed and periodic points under contraction or distanc...
Abstract. In this paper we present some equivalent statements with the fixed point property of a met...
Abstract Results dealing with a Fixed Point for a map need not be continuous on a metric space, whic...
In this paper, we prove several fixed point theorems, which are generalizations of the Banach contra...