We prove some fixed point results for mappings satisfying various contractive conditions on Complete G-metric Spaces. Also the Uniqueness of such fixed point are proved, as well as we showed these mappings are G-continuous on such fixed points.
We prove some fixed point results for mapping satisfying sufficient conditions on complete Gmetric space, also we showed that if the G-metric space X, G is symmetric, then the existence and uniqueness of these fixed point results follow from well-known theorems in usual metric space X, d G , where X, d G is the usual metric space which defined from the G-metric space X, G .
In this paper, we introduce a modified version of ordered partial b-metric spaces. We demonstrate a fundamental lemma for the convergence of sequences in such spaces. Using this lemma, we prove some fixed point and common fixed point results for (ψ , ϕ)-weakly contractive mappings in the setup of ordered partial b-metric spaces.Finally, examples are presented to verify the effectiveness and applicability of our main results. MSC: 47H10; 54H25
The purpose of this paper is to prove the existence of fixed points of contractive mapping defined on G-metric space where the completeness is replaced with weaker conditions. Moreover, we showed that these conditions do not guarantee the completeness of G-metric spaces.
the authors claimed that every G-metric space is D *-metric. In this short paper we present examples to show that D *-metric need not be G-metric as well as the G-metric need not be D *-metric.
In this paper several fixed point theorems for a class of mappings defined on a complete G-metric space are proved. In the same time we show that if the G-metric space (X, G) is symmetric then the existence and uniqueness of these fixed point results follows from the Hardy-Rogers theorem in the induced usual metric space (X, dG). We also prove fixed point results for mapping on a G-metric space (X, G) by using the Hardy-Rogers theorem where (X, G) need not be symmetric.
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