Fixed Point Theorems via Auxiliary Functions by Erdal Karapınar, Peyman Salimi

“…We prove new fixed point theorems in the framework of partially ordered metric spaces. The main result is an extension and a generalization of many existing results in the literature. …”
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Best Periodic Proximity Points for Cyclic Weaker Meir-Keeler Contractions by Chiming Chen, Chingju Lin

“…The purpose of this paper is to present the existence of the best period proximity point for cyclic weaker Meir-Keeler contractions and asymptotic cyclic weaker Meir-Keeler contractions in metric spaces.…”
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Some Results on Generalized Pata–Suzuki Type Contractive Mappings by Merve Aktay, Murat Özdemir

“…In this work, we establish new fixed point theorems for generalized Pata–Suzuki type contraction via α-admissible mapping in metric spaces and to prove some fixed point results for such mappings. …”
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On Some Metric Inequalities and Applications by Hassen Aydi, Bessem Samet

“…We derive a new inequality in metric spaces and provide its geometric interpretation. …”
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Fixed Point Results for Multivalued Mappings with Applications by Arshad Khan, Muhammad Sarwar, Farhan Khan, Habes Alsamir, Hasanen A. Hammad

“…In this manuscript, using the concept of multivalued contractions, some new Banach- and Caristi-type fixed point results are established in the context of metric spaces. For the reliability of the presented results, some examples and applications to Volterra integral type inclusion are also studied. …”
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Generalized 𝜶-𝝍 Contractive Type Mappings and Related Fixed Point Theorems with Applications by Erdal Karapınar, Bessem Samet

“…As consequences of our main results, we obtain fixed point theorems on metric spaces endowed with a partial order and fixed point theorems for cyclic contractive mappings. …”
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On Geraghty Contractive Mappings and an Application by S. Batul, F. Mehmood, D-e-Shehwar Sagheer, M. Sohail Ashraf, H. Aydi, Y. U. Gaba

“…In this article, certain fixed point results for Geraghty-type contractions in the setting of Gr-Complete extended fuzzy b-metric spaces are established. An example is elaborated, and a supporting application is also established. …”
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Fixed Point Results via Real-Valued Function Satisfying Integral Type Rational Contraction by Naveen Mani, Amit Sharma, Rahul Shukla

“…In this article, we mainly discuss the existence and uniqueness of fixed point satisfying integral type contractions in complete metric spaces via rational expression using real-valued functions. …”
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Existence of Best Proximity Point with an Application to Nonlinear Integral Equations by Shagun Sharma, Sumit Chandok

“…Using the idea of modified ϱ-proximal admissible mappings, we derive some new best proximity point results for ϱ−ϑ-contraction mappings in metric spaces. We also provide some illustrations to back up our work. …”
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Fixed Points and Stability for Integral-Type Multivalued Contractive Mappings by Zhefu An, Mengyao Li, Liangshi Zhao

“…The existence and iterative approximations of fixed points concerning two classes of integral-type multivalued contractive mappings in complete metric spaces are proved, and the stability of fixed point sets relative to these multivalued contractive mappings is established. …”
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Common Fixed Points for Nonlinear Quasi-Contractions of Ćirić Type by Fei He

“…Furthermore, using the scalarization method, we deduce some results of common fixed point in tvs-cone metric spaces with a c-distance. As application, we give a positive answer to the question of Ćirić et al. posed in 2012. …”
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A Note on the Fixed Point of Generalized Eventual Cyclic Gross Contractive Mappings by Jin Liang, Sheng-Hua Yan

“…., in press, we introduce a concept of generalized eventual cyclic gross contractive mapping in metric spaces, which is a generalization of the eventual cyclic gross contractions. …”
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Some Fixed Point Results for TAC-Type Contractive Mappings by Sumit Chandok, Kenan Tas, Arslan Hojat Ansari

“…We prove some fixed point results for new type of contractive mappings using the notion of cyclic admissible mappings in the framework of metric spaces. Our results extend, generalize, and improve some well-known results from literature. …”
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Fixed Points for Contractive Mappings of Integral Type Involving ω-Distance and Applications by Haiyan Gao, Na Liu, Liangshi Zhao

“…In this paper, we use ω-distance to prove the existence, uniqueness, and iterative approximations of fixed points for a few contractive mappings of integral type in complete metric spaces. The proved results are used to investigate the solvability of certain nonlinear integral equations. …”
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Common fixed point theorems for compatible mappings by Kenan Taş, Mustafa Telci, Brian Fisher

“…By using a compatibility condition due to Jungck we establish some common fixed point theorems for four mappings on complete and compact metric spaces These results also generalize a theorem of Sharma and Sahu.…”
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Ulam-Hyers Stability for MKC Mappings via Fixed Point Theory by Anisa Mukhtar Hassan, Erdal Karapınar, Hamed H. Alsulami

“…We consider some extension of MKC mappings in the framework of complete dislocated metric spaces. Besides the theoretical results, we also consider some illustrative examples. …”
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Remarks of Fixed Point for (ψ,φ)-Weakly Contractive Mappings by Zhiqun Xue, Guiwen Lv

“…In this paper, we obtain a new fixed point theorem for weak contraction mappings on complete generalized metric spaces. Our result is different from that of (ψ,φ)-weakly contractive mappings which had been obtained by Lakzian–Samet’s [Appl. …”
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Existence and Uniqueness of Fixed Points of Generalized F-Contraction Mappings by A. P. Farajzadeh, M. Delfani, Y. H. Wang

“…The existence and uniqueness of fixed points for a self-mapping on complete metric spaces by the new constructed contraction are investigated. …”
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On Extended b-Rectangular and Controlled Rectangular Fuzzy Metric-Like Spaces with Application by Naeem Saleem, Salman Furqan, Fahd Jarad

“…In this article, we introduce the notions of extended b-rectangular and controlled rectangular fuzzy metric-like spaces that generalize many fuzzy metric spaces in the literature. We give examples to justify our newly defined fuzzy metric-like spaces and prove that these spaces are not Hausdorff. …”
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Contractive mappings on a premetric space by C. Y. Shen, A. Sound

“…The applications of these results to topological vector spaces and to metric spaces are also discussed.…”
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