“…Several classical fixed point theorems and common fixed point theorems have been unified considering a general condition by an implicit function [7], [8] and in other papers. The study of fixed points for mappings satisfying implicit relations in G -metric spaces is initiated in [9] - [11] and in other papers.…”
In this paper we introduce a new type of implicit relation and we prove a general fixed point theorem in G -metric spaces using two auxiliary functions, generalizing Theorem 3.3 [1].2000 Mathematics Subject Classification: 54H25, 47H10.
“…Several classical fixed point theorems and common fixed point theorems have been unified considering a general condition by an implicit function [7], [8] and in other papers. The study of fixed points for mappings satisfying implicit relations in G -metric spaces is initiated in [9] - [11] and in other papers.…”
In this paper we introduce a new type of implicit relation and we prove a general fixed point theorem in G -metric spaces using two auxiliary functions, generalizing Theorem 3.3 [1].2000 Mathematics Subject Classification: 54H25, 47H10.
“…The study of fixed points for mappings in G -metric spaces satisfying implicit relations is initiated in [32] - [36] and in other papers. The study of fixed points for mappings satisfying an implicit relation in partial metric spaces is initiated in [44].…”
The purpose of this paper is to prove a general fixed point theorem in complete Gp-metric spaces for mappings satisfying a new type of implicit relation. If Gp-metric is symmetric, we prove that the fixed point problem is well posed.
“…The study of fixed points for mappings in G -metric spaces is initiated in [33], [34], [35], [36], [37] and in other papers. The study of fixed point for mappings satisfying an implicit relation in partial metric spaces is initiated in [45].…”
The purpose of this paper is to prove a general fixed point theorem in Gp-metric space for mappings satisfying an implicit relation. If Gp-metric is symmetric, we prove that the fixed point problem is well posed.
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