Existence Results for ψ-Hilfer Fractional Integro-Differential Hybrid Boundary Value Problems for Differential Equations and Inclusions by Chanakarn Kiataramkul, Sotiris K. Ntouyas, Jessada Tariboon

“…Existence results are established for single and multivalued cases, by using suitable fixed-point theorems for the product of two single or multivalued operators. …”
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Integral Type F-Contractions in Partial Metric Spaces by Vildan Ozturk

“…In this work, we defined generalized integral type F-contractions and proved common fixed point theorems for four mappings satisfying this type (Branciari type) of contractions in partial metric spaces.…”
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Existence of Nontrivial Solutions for Unilaterally Asymptotically Linear Three-Point Boundary Value Problems by Hongyu Li

“…Using fixed point theorems in ordered Banach spaces with the lattice structure, we consider the existence of nontrivial solutions under the condition that the nonlinear term can change sign and study the existence of sign-changing solutions for some second order three-point boundary value problems. …”
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Impulsive Fractional Semilinear Integrodifferential Equations with Nonlocal Conditions by Xue Wang, Bo Zhu

“…Based on the semigroup theory and some fixed point theorems, the existence theory of PC-mild solutions is established under the condition of compact resolvent operator. …”
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Common α-Fuzzy Fixed Point Results with Applications to Volterra Integral Inclusions by Abdullah Eqal Al-Mazrooei, Jamshaid Ahmad

“…The purpose of this paper is to establish some common α-fuzzy fixed point theorems for a pair fuzzy mappings and obtain some results of literature for multivalued mappings. …”
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Caristi Type Selections of Multivalued Mappings by Calogero Vetro, Francesca Vetro

“…Also we prove fixed point and quasi-fixed point theorems.…”
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Generalization Contractive Mappings on Rectangular b-Metric Space by Jayshree Patil, Basel Hardan, Ahmed A. Hamoud, Amol Bachhav, Homan Emadifar, Hatira Günerhan

“…In this paper, we introduce new coincidence fixed point theorems for generalized ϕ,ψ-contractive mappings fulfilling kind of an admissibility provision in a Hausdorff b-rectangular metric space with the support of C-functions. …”
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Multiple Positive Solutions for Quadratic Integral Equations of Fractional Order by Hui-Sheng Ding, Man-Man Liu, Juan J. Nieto

“…In this paper, the existence of multiple positive solutions for a class of quadratic integral equation of fractional order is obtained, by utilizing Avery-Henderson and Leggett-Williams multiple fixed point theorems on cones. An example is given to illustrate the applicability of our results. …”
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Existence and Uniqueness of Solutions for a Fractional Hybrid System with Nonseparated Integral Boundary Hybrid Conditions by M. Hannabou, M. Bouaouid, K. Hilal

“…We are going to use Banach’s and Leray-Schauder alternative fixed point theorems to obtain the main results. Lastly, we are giving two examples to show the effectiveness of the main results.…”
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Positive Solutions for the Initial Value Problem of Fractional Evolution Equations by He Yang, Yue Liang

“…By using the fixed point theorems and the theory of analytic semigroup, we investigate the existence of positive mild solutions to the Cauchy problem of Caputo fractional evolution equations in Banach spaces. …”
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Edge Theoretic Extended Contractions and Their Applications by R. Rajagopalan, Ekta Tamrakar, Fahad. S. Alshammari, H. K. Pathak, Reny George

“…Edge theoretic extended contractions are introduced and coincidence point theorems and common fixed-point theorems are proved for such contraction mappings in a metric space endowed with a graph. …”
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An Easy-to-Understand Method to Construct Desired Distance-Like Measures by Wen Qing Fu, Sheng Gang Li, Harish Garg, Heng Liu, Ahmed Mostafa Khalil, Jingjing Zhao

“…Moreover, some WIVP-metrics pertinent to quantitative logic theory or interval-valued fuzzy graphs are constructed, and fixed point theorems and common fixed point theorems in weak interval-valued metric spaces are also presented. …”
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Common Fixed Point and Coupled Coincidence Point Theorems for Geraghty’s Type Contraction Mapping with Two Metrics Endowed with a Directed Graph by P. Charoensawan, W. Atiponrat

“…The purpose of this paper is to present some existence and uniqueness results for common fixed point theorems for θ-ϕ contraction mappings with two metrics endowed with a directed graph. …”
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Existence Results for Langevin Fractional Differential Inclusions Involving Two Fractional Orders with Four-Point Multiterm Fractional Integral Boundary Conditions by Ahmed Alsaedi, Sotiris K. Ntouyas, Bashir Ahmad

“…Our study relies on standard fixed point theorems for multivalued maps and covers the cases when the right-hand side of the inclusion has convex as well as nonconvex values. …”
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Some Existence Results for a System of Nonlinear Fractional Differential Equations by Eskandar Ameer, Hassen Aydi, Hüseyin Işık, Muhammad Nazam, Vahid Parvaneh, Muhammad Arshad

“…This paper presents some common fixed point theorems and an application to resolve a system of nonlinear fractional differential equations. …”
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Fixed-Point Results in Elliptic-Valued Metric Spaces with Applications by Badriah Alamri

“…The primary objective of this research is to investigate the notion of elliptic-valued metric spaces and prove new fixed-point theorems for diverse generalized contractions. …”
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θ‐ϕ‐Contraction on α,η‐Complete Rectangular b‐Metric Spaces by Abdelkarim Kari, Mohamed Rossafi, El Miloudi Marhrani, Mohamed Aamri

“…Further, we establish some fixed point theorems for this type of mappings defined on such spaces. …”
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Quantum Difference Langevin System with Nonlocal q-Derivative Conditions by Surang Sitho, Sorasak Laoprasittichok, Sotiris K. Ntouyas, Jessada Tariboon

“…Some new existence and uniqueness results for coupled systems are obtained by using fixed point theorems. The existence and uniqueness of solutions are established by Banach’s contraction mapping principle, while the existence of solutions is derived by using Leray-Schauder’s alternative. …”
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Fixed Point Problems for Nonexpansive Mappings in Bounded Sets of Banach Spaces by Xianbing Wu

“…The purpose of this paper is to establish fixed point theorems of nonexpansive mappings for bounded sets in Banach spaces. …”
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New Fixed Point Results in F-Quasi-Metric Spaces and an Application by Ehsan Lotfali Ghasab, Hamid Majani, Erdal Karapinar, Ghasem Soleimani Rad

“…The main goal of the present paper is to obtain several fixed point theorems in the framework of F-quasi-metric spaces, which is an extension of F-metric spaces. …”
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