From Caristi’s Theorem to Ekeland’s Variational Principle in 0σ-Complete Metric-Like Spaces by Mohamed Jleli, Bessem Samet, Calogero Vetro, Francesca Vetro

“…Then, we show that these extensions can be obtained via the corresponding results in standard metric spaces.…”
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Cyclic Mappings and Further Results in B-Metric-Like Spaces by Shengquan Weng, Quanxin Zhu, Baoying Du, Kaibo Shi

“…Fixed point problem of many mappings has been widely studied in the research work of fixed point theory. The generalized metric space is one of the research objects of fixed point theory. …”
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Some New Sets of Sequences of Fuzzy Numbers with Respect to the Partial Metric by Uğur Kadak, Muharrem Ozluk

“…We examine the relationships between these sets and their classical forms and give some properties including definitions, propositions, and various kinds of partial metric spaces of fuzzy level sets. Furthermore, we study some of their properties like completeness and duality. …”
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Expansive Fixed Point Theorems for tri-simulation functions by Priya Shahi, Laxmi Rathour, Vishnu Narayan Mishra

“…Imdad, Italian Journal of Pure and Applied Mathematics -N, 45 (2021) 419-430] in a metric space. Further, we shall use these mappings to study various fixed point results in complete metric spaces. …”
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Some Remarks on Fixed Point Theorems for Interpolative Kannan Contraction by Youssef Errai, El Miloudi Marhrani, Mohamed Aamri

“…In this paper, we use interpolation to obtain fixedpoint and common fixed point results for a new type of Kannan contraction mappings in complete metric and b-metric spaces. Our results extend and improve some results on fixed point theory in the literature. …”
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Existence of Mild Solutions for Fuzzy Fractional Evolution Equations via Krasnosel’skii Fixed Point Theorem by Ismail Airou, Ali El Mfadel, Elomari Mhamed

“…The proofs are based on fuzzy strongly continuous semigroups, a new Krasnoselskii fixed point theorem appropriate for fuzzy metric spaces, and some elementary fuzzy fractional calculus tools.…”
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Set-Valued SU-Type Fixed Point Theorems via Gauge Function with Applications by Amjad Ali, Monairah Alansari, Fahim Uddin, Muhammad Arshad, Awais Asif, Ghada Ali Basendwah

“…In this article, we have designed two existence of fixed point theorems which are regarding to set-valued SU-type θη-contraction and Γα-contraction via gauge function in the setting of metric spaces. An extensive set of nontrivial example will be given to justify our claim. …”
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Exciting Fixed Point Results on a Novel Space with Supportive Applications by Hasanen A. Hammad, Hassen Aydi, Yaé Ulrich Gaba

“…The goal of this paper is to present a new space, a complex valued controlled rectangular b-metric space (for short, υℂ-metric space). Some examples and topological properties of υℂ-metric spaces are given. …”
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Some New Results of Interpolative Hardy–Rogers and Ćirić–Reich–Rus Type Contraction by Youssef Errai, El Miloudi Marhrani, Mohamed Aamri

“…In this paper, we present new concepts on completeness of Hardy–Rogers type contraction mappings in metric space to prove the existence of fixed points. …”
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Fixed Point Results for α-ψ-Contractive Mappings Including Almost Contractions and Applications by Gonca Durmaz, Gülhan Mınak, Ishak Altun

“….), the authors introduced the concept of α-admissible maps on metric spaces. Using this new concept, they presented some nice fixed point results. …”
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Double Controlled Quasi-Metric Type Spaces and Some Results by Abdullah Shoaib, Sabeena Kazi, Asifa Tassaddiq, Shaif S. Alshoraify, Tahair Rasham

“…Abdeljawad et al. (2018) introduced a new concept, named double controlled metric type spaces, as a generalization of the notion of extended b-metric spaces. In this paper, we extend their concept and introduce the concept of double controlled quasi-metric type spaces with two incomparable functions and prove some unique fixed point results involving new types of contraction conditions. …”
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Dynamic Processes, Fixed Points, Endpoints, Asymmetric Structures, and Investigations Related to Caristi, Nadler, and Banach in Uniform Spaces by Kazimierz Włodarczyk, Robert Plebaniak

“…Results are new also in locally convex and metric spaces. Examples are provided.…”
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Common Fixed Point Results for Intuitionistic Fuzzy Hybrid Contractions with Related Applications by Mohammed Shehu Shagari, Shazia Kanwal, Akbar Azam, Hassen Aydi, Yaé Ulrich Gaba

“…In order to entrench hybrid fixed notions in fuzzy mathematics, this paper focuses on introducing a new idea under the name intuitionistic fuzzy p-hybrid contractions in the realm of -metric spaces. Sufficient conditions for the existence of common intuitionistic fuzzy fixed points for such maps are established. …”
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Solving Integral Equations by Means of Fixed Point Theory by E. Karapinar, A. Fulga, N. Shahzad, A. F. Roldán López de Hierro

“…In this paper, we study a very general class of integral equations by means of a novel family of contractions in the setting of metric spaces. The main advantage of this family is the fact that its general contractivity condition can be particularized in a wide range of ways, depending on many parameters. …”
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An Easy-to-Understand Method to Construct Desired Distance-Like Measures by Wen Qing Fu, Sheng Gang Li, Harish Garg, Heng Liu, Ahmed Mostafa Khalil, Jingjing Zhao

“…Moreover, some WIVP-metrics pertinent to quantitative logic theory or interval-valued fuzzy graphs are constructed, and fixed point theorems and common fixed point theorems in weak interval-valued metric spaces are also presented. Topics and strategies for further study are also put forward concretely and clearly.…”
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A Strong Law of Large Numbers for Random Sets in Fuzzy Banach Space by R. Ghasemi, A. Nezakati, M. R. Rabiei

“…The main purpose of this paper is to consider the strong law of large numbers for random sets in fuzzy metric space. Since many years ago, limited theorems have been expressed and proved for fuzzy random variables, but despite the uncertainty in fuzzy discussions, the nonfuzzy metric space has been used. …”
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Common α-Fuzzy Fixed Point Results for Kannan Type Contractions with Application by Amer Hassan Albargi, Jamshaid Ahmad

“…The purpose of this paper is to utilize complex valued extended b-metric space and obtain common α-fuzzy fixed point theorems under Kannan type contractions. …”
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On Metrization of the Topologies Induced by Fuzzy Metrics by Jianrong Wu, Hao Yang

“…In this paper, we focus on finding the metric functions in a fuzzy metric space. After introducing the concept of a stratified function in a fuzzy metric space, we prove that the topology generated by the family of stratified functions coincides with the topology generated by the fuzzy metric. …”
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ON Modified (α-η)-Contractive Mappings by Marwan Amin Kutbi, Muhammad Arshad, Aftab Hussain

“…Hussain et al. (2013) established new fixed point results in complete metric space. In this paper, we prove fixed point results of α-admissible mappings with respect to η, for modified contractive condition in complete metric space. …”
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A Note on tvs-G-Cone Metric Fixed Point Theory by Ing-Jer Lin, Chi-Ming Chen, Chao-Hung Chen, Tien-Ying Cheng

“…For a tvs-G-cone metric space (𝑋,𝐺) and for the family 𝒜 of subsets of X, we introduce a new notion of the tvs-ℋ-cone metric ℋ with respect to G, and we get a fixed result for the 𝒞ℬ𝒲-tvs-G-cone-type function in a complete tvs-G-cone metric space (𝒜,ℋ). …”
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