Some Common Fixed Point Theorems for F-Contraction Type Mappings in 0-Complete Partial Metric Spaces by Satish Shukla, Stojan Radenović

“…We prove some common fixed point theorems for F-contractions in 0-complete partial metric spaces. Our results extend, generalize, and unify several known results in the literature. …”
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On common fixed points of pairs of a single and a multivalued coincidentally commuting mappings in D-metric spaces by B. C. Dhage, A. Jennifer Asha, S. M. Kang

“…Our result generalizes more than a dozen known fixed-point theorems in D-metric spaces including those of Dhage (2000) and Rhoades (1996).…”
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DIMD-DETR: DDQ-DETR With Improved Metric Space for End-to-End Object Detector on Remote Sensing Aircrafts by Huan Liu, Xuefeng Ren, Yang Gan, Yongming Chen, Ping Lin

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Multi-valued mappings on Pompeiu-Hausdorff fuzzy b-metric spaces and a common fixed point result by Noreddine Makran, Stojan N. Radenović

Subjects: “…fuzzy metric space…”
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C∗-Algebra-Valued Extended Rectangular Hb-Metric Spaces and Presić-Type Fixed Point Theorem with an Application by Madjid Kohi, Hasan Hosseinzadeh, Rasoul Abazari, Ali Bagheri, Vahid Parvaneh

“…In this article, we introduce the concept of C∗-algebra-valued extended rectangular Hb-metric spaces and use it to prove the Banach contraction principle (BCP). …”
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Coupled Coincidence Point Theorems for New Types of Mixed Monotone Multivalued Mappings in Partially Ordered Metric Spaces by Chalongchai Klanarong, Suthep Suantai

“…We introduce and study new types of mixed monotone multivalued mappings in partially ordered complete metric spaces. We give relationships between those two types of mappings and prove their coupled fixed point and coupled common fixed point theorems in partially ordered complete metric spaces. …”
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Ulam-Hyers Stability and Well-Posedness of Fixed Point Problems for α-λ-Contraction Mapping in Metric Spaces by Marwan Amin Kutbi, Wutiphol Sintunavarat

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Unified Fixed Point Theorems via Common Limit Range Property in Modified Intuitionistic Fuzzy Metric Spaces by Mohammad Imdad, Sunny Chauhan, Sumitra Dalal

“…The purpose of this paper is to emphasize the role of “common limit range property” to ascertain the existence of common fixed points in modified intuitionistic fuzzy metric spaces enjoying an implicit function utilized in Tanveer et al. (2012) and Imdad et al. (2012). …”
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Some Fixed Point Theorems for Boyd and Wong Type Contraction Mapping in Ordered Partial Metric Spaces with an Application by Santosh Kumar, Faustine Nziku

“…This paper establishes and proves a fixed point theorem for Boyd and Wong type contraction in ordered partial metric spaces. In doing so, we have extended several existing results into ordered complete partial metric spaces. …”
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Cyclic G‐Ω-Weak Contraction-Weak Nonexpansive Mappings and Some Fixed Point Theorems in Metric Spaces by Sahar Mohamed Ali Abou Bakr

“…This paper introduces novel concepts of joint Y,Z cyclic G‐ΩS,T,abef-weak contraction and joint Y,Z cyclic G‐ΩS,T,abef-weak nonexpansive mappings and then proves the existence of a unique common fixed point of such mappings in case of complete and compact metric spaces, respectively, in particular, it proves the existence of a unique fixed point for both cyclic G‐ΩS,abef-weak contraction and cyclic G‐ΩS,abef-weak nonexpansive mappings, and hence, it also proves the existence of a unique fixed point for both cyclic ΩS,abef-weak contraction and cyclic ΩS,abef-weak nonexpansive mappings. …”
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A New Approach to Fuzzy Differential Equations Using Weakly-Compatible Self-Mappings in Fuzzy Metric Spaces by Iqra Shamas, Saif Ur Rehman, Naeem Jan, Abdu Gumaei, Mabrook Al-Rakhami

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Hβ-Hausdorff Functions and Common Fixed Points of Multivalued Operators in a b-Metric Space and Their Applications by Fahad Sameer Alshammari, Naif R. Alrashedi, Reny George

“…Hβ-Hausdorff functions for β∈0,1 are introduced, and common fixed-point theorems for a pair of multivalued operators satisfying generalized contraction conditions are proven in a b-metric space. Our results are proper extensions and new variants of many contraction conditions existing in literature. …”
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Coupled Fixed Point Theorems with Rational Type Contractive Condition in a Partially Ordered G-Metric Space by K. Chakrabarti

“…Coupled fixed point theorems for a map satisfying mixed monotone property and a nonlinear, rational type contractive condition are established in a partially ordered G-metric space. The conditions for uniqueness of the coupled fixed point are discussed. …”
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Coupled Fixed Point Theorems for Some Type of Contraction Mappings in b-Cone and b-Theta Cone Metric Spaces by Sahar Mohamed Ali Abou Bakr

“…This paper proves the existence of a unique coupled fixed point of some type of contraction mappings defined on a complete b-cone and b-theta cone metric spaces; consequently, it extends and generalizes many previous coupled fixed point theorems.…”
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A general lemma for fixed-point theorems involving more than two maps in D-metric spaces with applications by B. C. Dhage, Smrati Arya, Jeong Sheok Ume

“…A general procedural lemma for fixed-point theorems for three and four maps in a D-metric space is proved, and it is further applied for proving the common fixed-point theorems of three and four maps in a D-metric space satisfying certain contractive conditions.…”
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On Nonunique Fixed Point Theorems via Interpolative Chatterjea Type Suzuki Contraction in Quasi-Partial b-Metric Space by Pragati Gautam, Shiv Raj Singh, Santosh Kumar, Swapnil Verma

“…In the present research paper, Chatterjea type contraction is defined and discussed in the framework of quasi-partial b-metric space. Further, some common fixed point results are proved using the notion of interpolation. …”
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Some Valid Generalizations of Boyd and Wong Inequality and ψ,ϕ-Weak Contraction in Partially Ordered b−Metric Spaces by Noor Jamal, Thabet Abdeljawad, Muhammad Sarwar, Nabil Mlaiki, Panda Sumati Kumari

“…In this manuscript, we use ψ,ϕ-weak contraction to generalize coincidence point results which are established in the context of partially ordered b-metric spaces. The presented work explicitly generalized some recent results from the existing literature. …”
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Fixed point and coincidence point theorems for a pair of single-valued and multi-valued maps on a metric space by S. Venkata Ratnam Naidu

“…We obtain fixed point and coincidence point theorems for a pair of single-valued and multi-valued maps on a metric space satisfying a generalized nonexpansive type condition.…”
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Common Fixed Point for Three Pairs of Self-Maps Satisfying Common (E.A) Property in Generalized Metric Spaces by Feng Gu, Yun Yin

“…Using the concept of common (E.A) property, we prove a common fixed point theorem for three pairs of weakly compatible self-maps satisfying a new contractive condition in the framework of a generalized metric space. Our results do not rely on any commuting or continuity condition of mappings. …”
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Generalized Reich–Ćirić–Rus-Type and Kannan-Type Contractions in Cone b-Metric Spaces over Banach Algebras by Yan Han, Shaoyuan Xu

“…At last, we prove that the completeness of cone b-metric spaces over Banach algebras is necessary if the generalized Kannan-type contraction has a fixed point in X. …”
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