Terminal Value Problem for Implicit Katugampola Fractional Differential Equations in b-Metric Spaces by Salim Krim, Saïd Abbas, Mouffak Benchohra, Erdal Karapinar

“…This manuscript deals with a class of Katugampola implicit fractional differential equations in b-metric spaces. The results are based on the α−φ-Geraghty type contraction and the fixed point theory. …”
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Self-similar random fractal measures using contraction method in probabilistic metric spaces by József Kolumbán, Anna Soós, Ibolya Varga

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Fixed Point Results of Locally Contractive Mappings in Ordered Quasi-Partial Metric Spaces by Abdullah Shoaib, Muhammad Arshad, Jamshaid Ahmad

“…Fixed point results for a self-map satisfying locally contractive conditions on a closed ball in an ordered 0-complete quasi-partial metric space have been established. Instead of monotone mapping, the notion of dominated mappings is applied. …”
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Coincidence Point Theorems for (α,β,γ)-Contraction Mappings in Generalized Metric Spaces by Chaiporn Thangthong, Anchalee Khemphet

“…The result of our study is that a coincidence point of two mappings P and Q can be achieved when the ordered pair (P,Q) is an (α,β,γ)-contraction with respect to a generalized metric space. Moreover, with some additional condition, a common fixed point can be obtained as a consequence of our main theorems. …”
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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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