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Fixed point theorem and iterated function system in φ-metric modular space
We introduce and study the concept of φ -metric modular space and, then define φ - α -Meir-Keeler contraction on it and explore its fixed point. Further,...
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Fixed point results for multivalued contraction map**s in modular and non-Archimedean modular metric spaces
In this paper, we defined multivalued contraction map**s in the setting of modular metric space and non-Archimedean modular metric space endowed...
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Some Fixed Point Results for Meir–Keeler Contraction Version in Modular Metric Spaces Endowed With Graph and in Fuzzy Metric Space
In this article, first we introduce a new definition of Meir–Keeler contraction and investigate fixed point results for such contraction in modular...
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A study of some new multivalued fixed point results in a modular like metric space with graph
The purpose of this paper is to setup some new fixed point results for multivalued map**s. We prove fixed point results for multivalued map**s...
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On the Linear Dilatation of the Map**s Satisfying an Inverse Poletsky Modular Inequality in Metric Spaces
We study the linear dilatation of the map**s satisfying an inverse Poletsky inequality in metric spaces. We also show that under certain conditions...
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Fixed point theorems in modular G-metric spaces
We prove the existence and uniqueness of fixed points of some generalized contractible operators defined on modular G -metric spaces and also prove...
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Common fixed point for some generalized contractive map**s in a modular metric space with a graph
In this paper, we investigate the existence and the uniqueness of a common fixed point of a pair of self-map**s satisfying new contractive type...
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Common fixed point theorems in modular metric spaces with applications to nonlinear integral equation of Urysohn type
The aim of this paper is to prove some common fixed point theorems for certain nonlinear map**s satisfying rational contractive conditions in...
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A Weil–Petersson Type Metric on the Space of Fano Kähler–Ricci Solitons
In this paper, we define a Weil–Petersson type metric on the space of (shrinking) Kähler–Ricci solitons and prove a necessary and sufficient...
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Common fixed point theorems for several multivalued map**s on proximinal sets in regular modular space
In this paper, we found a common fixed point for several multivalued map**s on proximinal sets in regular modular metric space. Also, we introduced...
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Local rigidity of the Teichmüller space with the Thurston metric
We show that every ℝ-linear surjective isometry between the cotangent spaces to the Teichmüller space equipped with the Thurston norm is induced by...
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Weil–Petersson geodesics on the modular surface
We consider the Weil–Petersson (WP) metric on the modular surface. We lift WP geodesics to the universal cover of the modular surface, and analyse...
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A fixed point result in generalized metric spaces
Extending the concept of a modular space, we introduce generalized metric spaces and prove a fixed point result for Rakotch type contractive...
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On a pair of fuzzy map**s in modular-like metric spaces with applications
The aim of this work is to establish results in fixed point theory for a pair of fuzzy dominated map**s which forms a rational fuzzy dominated V -con...
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Fixed-Point Theorems in Generalized Modular Metric Spaces
Modular function spaces are one of the unique conditions of modular vector spaces which were defined by Nakano [37] in 1950. Later on, Khamsi,...
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Some Fixed Point Results for Suzuki \(W-\) Contractions Involving Quadratic Terms in Modular \(b-\) Metric Spaces
In this study, we established some common fixed point theorems for two self-map**s and obtained some results for a self-map** in the frame of...
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Cluster sets theorems on metric measure spaces
We generalize some theorems of Tsuji and Iversen concerning cluster sets of plane holomorphic map**s to the class of open, light map**s between...
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Fixed point theorems for asymptotically T-regular map**s in preordered modular G-metric spaces applied to solving nonlinear integral equations
Our aim in this paper is to prove some interesting fixed point theorems for the class of asymptotically T -regular map**s in the framework of...