A general fixed point theorem for mappings satisfying  an  phi - implicit relation in complete G - metric spaces

Valeriu POPA; Alina-mihaela PATRICIU

Makale detayları

A general fixed point theorem for mappings satisfying an phi - implicit relation in complete G - metric spaces

Yazarlar:

Valeriu POPA | Alina-mihaela PATRICIU

Yayıncı:

Gazi University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Gazi University Journal of Science 2012 Vol.25 Issue 2, pp.403-408

Belge Tipi:

Makale

Yayın Tarihi:

4/2012

Belge Dili:

İngilizce

Document ID (Org No.):

2000429357

eISSN:

2147-1762

Özet:

 

  

 

In this paper a general fixed point theorem for mappings satisfying an phi - implicit relation is proved, which generalize the results from [3] and [13].In [4], [5] Dhage introduced a new class of generalized metric space, called D - metric space. Mustafa and Sims [12], [13] proved that most of the claims concerning the fundamental topological structures of D - metric spaces are incorrect and introduced an appropriate notion of generalized metric space, named G - metric space. In fact, Mustafa and other authors [3], [7] – [15], [18] studied many fixed point results for self mappings in a G - metric space under certain conditions. In [6] and [18] some fixed point theorems for mappings satisfying φ - maps are proved. In [16], [17], Popa initiated the study of fixed points for mappings satisfying implicit relations. In [2] Altun and Turkoglu introduced a new type of implicit relations satisfying a φ - map. The purpose of this paper is to prove a general fixed point theorem in G - metric spaces for mappings satisfying an φ - implicit relation which generalize the results from [3] and [14]. 

 

.

Makale detayları

A general fixed point theorem for mappings satisfying an phi - implicit relation in complete G - metric spaces

Yazarlar: Valeriu POPA | Alina-mihaela PATRICIU

Yayıncı: Gazi University

Ana Başlıklar: Uygulamalı fizik

Dergi: Gazi University Journal of Science 2012 Vol.25 Issue 2, pp.403-408

Belge Tipi: Makale

Yayın Tarihi: 4/2012

Belge Dili: İngilizce

Document ID (Org No.): 2000429357

eISSN: 2147-1762

Sayı

Yazarlar:

Valeriu POPA | Alina-mihaela PATRICIU

Yayıncı:

Gazi University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Gazi University Journal of Science 2012 Vol.25 Issue 2, pp.403-408

Belge Tipi:

Makale

Yayın Tarihi:

4/2012

Belge Dili:

İngilizce

Document ID (Org No.):

2000429357

eISSN:

2147-1762