New Existence Results and Generalizations for Coincidence Points and Fixed Points without Global Completeness by Wei-Shih Du

“…Some new existence theorems concerning approximate coincidence point property and approximate fixed point property for nonlinear maps in metric spaces without global completeness are established in this paper. …”
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Fixed Point Results for Rational Orbitally (Θ,δb)-Contractions with an Application by Zhenhua Ma, Jamshaid Ahmad, Abdullah Eqal Al-Mazrooei, Durdana Lateef

“…The purpose of this paper is to define a rational orbitally (Θ,δb)-contraction and prove some new results in the context of b-metric spaces. Our results extend, generalize, and unify some known results in the literature. …”
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Fixed Points for ψ-Graphic Contractions with Application to Integral Equations by N. Hussain, S. Al-Mezel, P. Salimi

“…The aim of this paper is to define modified weak α-ψ-contractive mappings and to establish fixed point results for such mappings defined on partial metric spaces using the notion of triangular α-admissibility. …”
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Coupled Coincidence Point and Coupled Fixed Point Theorems via Generalized Meir-Keeler Type Contractions by Hassen Aydi, Erdal Karapınar, İnci M. Erhan

“…We prove coupled coincidence point and coupled fixed point results of 𝐹∶𝑋×𝑋→𝑋 and 𝑔∶𝑋→𝑋 involving Meir-Keeler type contractions on the class of partially ordered metric spaces. Our results generalize some recent results in the literature. …”
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The Study of Fixed Point Theory for Various Multivalued Non-Self-Maps by Wei-Shih Du, Erdal Karapınar, Naseer Shahzad

“…We establish some fixed/coincidence point theorems for multivalued non-self-maps in the context of complete metric spaces.…”
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Some Results on Fixed and Best Proximity Points of Multivalued Cyclic Self-Mappings with a Partial Order by M. De la Sen

“…This paper is devoted to investigate the fixed points and best proximity points of multivalued cyclic self-mappings on a set of subsets of complete metric spaces endowed with a partial order under a generalized contractive condition involving a Hausdorff distance. …”
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Global Optimal Solutions for Proximal Fuzzy Contractions Involving Control Functions by Abdelhamid Moussaoui, Nawab Hussain, Said Melliani

“…In this study, we introduce new concepts of α−FZ-contraction and α−ψ−FZ-contraction and we discuss existence results of the best proximity points of such types of non-self-mappings involving control functions in the structure of complete fuzzy metric spaces. Our results extend, generalize, enrich, and improve diverse existing results in the current literature.…”
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Admissible Almost Type Z-Contractions and Fixed Point Results by Said Melliani, Abdelhamid Moussaoui, L. S. Chadli

“…In this paper, we introduce a new concept of α-admissible almost type Z-contraction and prove some fixed point results for this new class of contractions in the context of complete metric spaces. The presented results generalize and unify several existing results in the literature.…”
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On Multivalued Hybrid Contractions with Applications by Monairah Alansari, Shehu Shagari Mohammed, Akbar Azam, Nawab Hussain

“…Recently, a notion of b-hybrid contraction for single-valued mappings in the framework of b-metric spaces which unify and improve several significant existing results in the corresponding literature was introduced. …”
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Fixed Point, Data Dependence, and Well-Posed Problems for Multivalued Nonlinear Contractions by Iram Iqbal, Nawab Hussain, Hamed H. Al-Sulami, Shanza Hassan

“…The aim of the paper is to discuss data dependence, existence of fixed points, strict fixed points, and well posedness of some multivalued generalized contractions in the setting of complete metric spaces. Using auxiliary functions, we introduce Wardowski type multivalued nonlinear operators that satisfy a novel class of contractive requirements. …”
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Discussion on Generalized-(αψ, βφ)-Contractive Mappings via Generalized Altering Distance Function and Related Fixed Point Theorems by Maher Berzig, Erdal Karapınar, Antonio-Francisco Roldán-López-de-Hierro

“…This allows us to consider contractive conditions that generalize a wide range of nonexpansive mappings in the setting of metric spaces provided with binary relations that are not necessarily neither partial orders nor preorders. …”
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Some New Aspects of Metric Fixed Point Theory by Khalil Javed, Fahim Uddin, Hüseyin Işık, Tareq M. Al-shami, Faizan Adeel, Muhammad Arshad

“…In this manuscript, we prove fixed point results in Rm-metric spaces endowed with an amorphous binary relation. …”
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Common Fixed Points of (α,η) − (θ,ϝ) Rational Contractions with Applications by Mujahid Abbas, Hira Iqbal, Manuel De La Sen

“…We present the notion of set valued (α,η)-(θ,ϝ) rational contraction mappings and then some common fixed point results of such mappings in the setting of metric spaces are established. Some examples are presented to support the concepts introduced and the results proved in this paper. …”
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Related Fixed Point Theorems via General Approach of Simulations Functions by Kastriot Zoto, Nabil Mlaiki, Hassen Aydi

“…In this work, we extend and complement some results in view of general and wider structures, such as b−metric spaces. By considering existing classes of Ζ−contractions and Ψ−simulating functions with a solid impact in database results of fixed point theory, we introduce a new general class of simulating functions, called as Ψ−s simulation functions, and also types of κψ−s− contractions in a more general framework. …”
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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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