Fixed Point Results in Fuzzy Strong Controlled Metric Spaces with an Application to the Domain Words by Aftab Hussain, Umar Ishtiaq, Hamed Al Sulami

“…In this manuscript, we introduce the notions of fuzzy strong controlled metric spaces, fuzzy strong controlled quasi-metric spaces, and non-Archimedean fuzzy strong controlled quasi-metric spaces and generalize the famous Banach contraction principle. …”
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Best Proximity Point Theorems for Single and Multivalued Mappings in Fuzzy Multiplicative Metric Space by Misbah Farheen, Tayyab Kamran, Azhar Hussain

“…In this paper, we introduce fuzzy multiplicative metric space and prove some best proximity point theorems for single-valued and multivalued proximal contractions on the newly introduced space. …”
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New Results of Fixed-Point Theorems and Their Applications in Complete Complex Dc∗-Metric Spaces by Nassar Aiman Majid, Alaa. M. F. AL. Jumaili, Zhen Chuan Ng, See Keong Lee

“…The first objective of the present manuscript is to introduce the notion of complex-valued Dc∗-metric spaces as generalizing and improving the idea of D∗-metric spaces by using the context of complex-valued metric space and D∗-metric spaces. …”
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A Common Fixed Point Theorem in Metric Space under General Contractive Condition by Sunny Chauhan, Zoran Kadelburg, Sumitra Dalal

“…We prove a common fixed point theorem for two pairs of compatible and subsequentially continuous (alternately subcompatible and reciprocally continuous) mappings satisfying a general contractive condition in a metric space. Some illustrative examples are furnished to highlight the realized improvements. …”
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Common Coupled Fixed Point Theorems on C⋆-Algebra-Valued Partial Metric Spaces by Gunaseelan Mani, Arul Joseph Gnanaprakasam, Precious B. Khumalo, Yaé U. Gaba

“…In this paper, we prove common coupled fixed point theorems on complete C⋆-algebra-valued partial metric spaces. An example and application to support our result are presented.…”
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A Novel Generalization of Strong Probabilistic $b$-Metric Spaces and Fixed Point Theorems by Youssef Achtoun, Abderrahim Mbarki, Ismail Tahiri, Mohammed Lamarti Sefian

Subjects: “…controlled strong probabilistic $b$-metric spaces…”
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Fixed Point Results for Single and Multivalued Maps on Partial Extended b-Metric Spaces by Hassen Aydi, Samina Batul, Muhammad Aslam, Dur-e-Shehwar Sagheer, Eskandar Ameer

“…This article is based on the concept of partial extended b-metric spaces, which is inspired by the notions of new extended b-metric spaces and partial metric spaces. …”
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Ordered Uniform Convexity in Ordered Convex Metric Spaces with an Application to Fixed Point Theory by Ismat Beg

“…In this paper, we introduce the concept of ordered uniform convexity in ordered convex metric spaces and study some properties of order uniform convexity. …”
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Coincidence Fixed-Point Theorems for p-Hybrid Contraction Mappings in Gb-Metric Space with Application by Lucas Wangwe

“…By combining the notions of G-metric space and b-metric space, in this paper, we present coincidence fixed-point theorems for p-hybrid mappings in Gb-metric spaces. …”
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Extension of Kirk-Saliga Fixed Point Theorem in a Metric Space with a Reflexive Digraph by Karim Chaira, Abderrahim Eladraoui, Mustapha Kabil, Samih Lazaiz

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Set-valued mappings and best proximity points: A study in $ \mathcal{F} $-metric spaces by Amer Hassan Albargi

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Fixed Point Results via G-Function over the Complete Partial b-Metric Space by Sara Salem Alzaid, Andreea Fulga, Badr Alqahtani

“…In this paper, we consider an auxiliary function G to combine and unify several existing fixed point theorems in the setting of the complete partial b-metric space. We consider also some examples to support the observed main results.…”
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Some Coincidence and Common Fixed Point Results in Fuzzy Metric Space with an Application to Differential Equations by Saif Ur Rehman, Iqra Shamas, Naeem Jan, Abdu Gumaei, Mabrook Al-Rakhami

“…In this paper, we study some coincidence point and common fixed point theorems in fuzzy metric spaces by using three-self-mappings. We prove the uniqueness of some coincidence point and common fixed point results by using the weak compatibility of three-self-mappings. …”
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Iterating Fixed Point via Generalized Mann’s Iteration in Convex b-Metric Spaces with Application by A. Asif, M. Alansari, N. Hussain, M. Arshad, A. Ali

“…An important approach used in the article is, though a subset closed ball of a complete convex b-metric space is not necessarily complete, the convergence of the Cauchy sequence is confirmed in the subset closed ball. …”
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Some Rational Coupled Fuzzy Cone Contraction Theorems in Fuzzy Cone Metric Spaces with an Application by Saif Ur Rehman, Muhammad Talha Waheed, Naeem Jan, Abdu Gumaei, Mabrook Al-Rakhami

“…In this paper, we establish the new concept of rational coupled fuzzy cone contraction mapping in fuzzy cone metric spaces and prove some unique rational-type coupled fixed-point theorems in the framework of fuzzy cone metric spaces by using “the triangular property of fuzzy cone metric.” …”
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Quadruple Fixed Point Theorems under Nonlinear Contractive Conditions in Partially Ordered Metric Spaces by Erdal Karapınar, Wasfi Shatanawi, Zead Mustafa

“…We prove a number of quadruple fixed point theorems under 𝜙-contractive conditions for a mapping 𝐹∶𝑋4→𝑋 in ordered metric spaces. Also, we introduce an example to illustrate the effectiveness of our results.…”
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Fixed Point Results for Generalized α,ψ-Contraction Mapping in Rectangular b-Metric Spaces by Mustefa Abduletif Mamud, Kidane Koyas Tola

“…In this paper, we introduce generalized α,ψ-contraction mappings in the setting of rectangular b-metric spaces and established existence and uniqueness of fixed points for the mappings introduced. …”
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An Approach of Integral Equations in Complex-Valued b-Metric Space Using Commuting Self-Maps by Rashad A. R. Bantan, Saif Ur Rehman, Shahid Mehmood, Waleed Almutiry, Amani Abdullah Alahmadi, Mohammed Elgarhy

“…This application illustrates how complex-valued b-metric space can be used in other types of integral operators.…”
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New Generalizations of Set Valued Interpolative Hardy-Rogers Type Contractions in b-Metric Spaces by Muhammad Usman Ali, Hassen Aydi, Monairah Alansari

“…Debnath and De La Sen introduced the notion of set valued interpolative Hardy-Rogers type contraction mappings on b-metric spaces and proved that on a complete b-metric space, whose all closed and bounded subsets are compact, the set valued interpolative Hardy-Rogers type contraction mapping has a fixed point. …”
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On Some New Common Fixed Point Results for Finite Number of Mappings in Fuzzy Metric Spaces by Ayush Bartwal, Junaid Ahmad, R. C. Dimri, Gopi Prasad, Ebenezer Bonyah

“…We essentially suggest the concept of mutual sequences and Cauchy mutual sequence and utilize the same to prove the existence and uniqueness of common fixed point results for finite number of self- and non-self-mappings using fuzzy ℤ∗-contractive mappings in fuzzy metric spaces. Our main result was obtained under generalized contractive condition in the fuzzy metric spaces. …”
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