G-metric Spaces
Cyclic contractions via auxiliary functions on G-metric spaces
... The two upper mentioned topics, cyclic mappings and G-metric spaces, have been com- bined by Aydi in [] and Karapınar et al. in []. In these papers, the existence and unique- ness of fixed points ...
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Coincidence point theorems in quasi-metric spaces without assuming the mixed monotone property and consequences in G-metric spaces
... quasi-metric spaces that can be applied to operators which not necessarily have the mixed monotone ...of metric spaces, partially ordered metric spaces and G-metric ...
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Nonlinear generalized ϕ-contractions in complete G-metric spaces and applications
... Fixed point theory has a variety of interesting applications in disciplines such as physics, chemistry, and engineering. In physics and engineering fixed point technique has been used in areas like image retrieval, ...
11
Ω-Distance and coupled fixed point in G-metric spaces
... Saadati et al. (Math. Comput. Model. 52:797-801, 2010) introduced the concept of -distance in generalized metric spaces and studied some nice fixed point theorems. Very recently, Jleli and Samet (Fixed Point ...
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Approximate fixed point in G-metric spaces for various types of operators
... in metric space for contraction ...on G−metric spaces, and we give some qualitative and quantitative results regarding approximate fixed point by considering a cyclic map T : A ∪B ∪ C → A ∪ B ...
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9. Coincidence and fixed points in $G$-metric spaces
... D-metric spaces are invalid and thereafter, they introduced a new generalized metric space structure and called it, G-metric ...of spaces a non-negative real number is assigned ...
9
Menger-Hausdorff metric and common fixed point theorems in Menger probabilistic G-metric spaces
... Menger-Hausdorff G ∗ -metric in Menger probabilistic G-metric spaces, and we prove that ( ∗ , G ∗ , ) is also a Menger probabilistic G-metric ...probabilistic ...
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Remarks on G-metric spaces and fixed point theorems
... ((X, G) is symmetric), many fixed point the- orems on G-metric spaces are particular cases of existing fixed point theorems in metric ...such spaces have a quasi-metric type ...
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Fixed Point Theorems in Complete G - Metric Spaces
... Sims,fixed point theorems for contractive mappings in complete G-metric spaces, Fixed Point Theory and Applications, Volume 2009, Article ID 917175. Rhoades, Fixed Point [r] ...
5
G-β-ψ-contractive type mappings in G-metric spaces
... complete metric space has a unique fixed ...a G-metric space and characterized the Banach fixed point theorem in the context of a G-metric ...of G-metric spaces; see, ...
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On coupled fixed point results in asymmetric G metric spaces
... Using a combination of techniques introduced by Jleli and Samet (Fixed Point Theory Appl. 2012:210, 2012) and Samet et al. (Int. J. Anal. 2013:917158, 2013) on the one hand, and by Kadelburg et al. (Bull. Math. Anal. ...
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Common Fixed Point Results in G Metric Spaces and Applications
... A common fixed point theorem using EA-property for four weakly compatible maps is obtained in the setting of G- metric spaces without exploiting the notion of continuity. Our results generalize the ...
5
Remarks on some coupled fixed point theorems in G-metric spaces
... of metric spaces is one of the centers of interests in nonlinear functional anal- ...complete metric space (X, d) has a unique fixed point if there exists ≤ k < such that d(Tx, Ty) = kd(x, y) ...
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Common fixed point theorems for fuzzy mappings in G-metric spaces
... different metric spaces. In , Mustafa and Sims [] introduced the G-metric space as a gener- alization of metric ...in G-metric spaces in ...
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Meir-Keeler type contractions in partially ordered G-metric spaces
... There are three main motivations for this paper. The first is the introduction of the concept of a G-metric space and fixed point theorems on G-metric spaces. The second is the works on ...
10
A note on some coupled fixed point theorems on G metric spaces
... In nonlinear functional analysis, one of the most productive tools is the fixed-point the- ory, which has numerous applications in many quantitative disciplines such as biology, chemistry, computer science, and ...
9
Existence of Fixed Point Results in G Metric Spaces
... generalized metric spaces see 9, which are called G-metric spaces as generalization of metric space X, d, to develop and introduce a new fixed point theory for various mappings ...
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FIXED POINT RESULTS FROM SOFT METRIC SPACES AND SOFT QUASI METRIC SPACES TO SOFT G-METRIC SPACES
... soft metric, soft G-metric and soft quasi-metric are ...soft G-metric spaces can be obtained directly from fixed point theorems on soft metrics or soft quasi-metric ...
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Coupled fixed point theorems on partially ordered G-metric spaces
... of g(x), where g : X → X and x ∈ X, for ...(X, G, ) be a partially ordered G-metric ...and g : X → X be mappings such that F has the mixed g-monotone property, and let ...
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On coupled fixed point theorems on partially ordered G metric spaces
... and g : X → X be two mappings. Then F is said to have mixed g -monotone property if F(x, y) is monotone g-non-decreasing in x and is monotone g-non-increasing in y, that is, for any x, y ∈ ...
13