Rectangular Metric-Like Type Spaces and Related Fixed Points by N. Mlaiki, K. Abodayeh, H. Aydi, T. Abdeljawad, M. Abuloha

“…In this paper, we introduce the concept of a rectangular metric-like space, along with its topology, and we prove some fixed point theorems for different contraction types. We also introduce the concept of modified metric-like spaces and we prove some topological and convergence properties under the symmetric convergence. …”
Get full text

Fixed points for non-surjective expansion mappings by B. K. Sharma, D. R. Sahu, M. Bounias, A. Bonaly

“…Math. 1990, 23, 213-218) were further improved for four non-surjective expansion mappings, and some common fixed point theorems under semi-compatible pairs of mappings are proved. …”
Get full text

Common random fixed points of compatible random operators by Ismat Beg, Mujahid Abbas

“…We construct a random iteration scheme and study necessary conditions for its convergence to a common random fixed point of two pairs of compatible random operators satisfying Meir-Keeler type conditions in Polish spaces. Some random fixed point theorems for weakly compatible random operators under generalized contractive conditions in the framework of symmetric spaces are also proved.…”
Get full text

Fixed-Point Results for Generalized Rational Contractions in Graphical b-Metric Spaces with Applications by Amer Hassan Albargi

“…The aim of this paper is to define generalized rational contractions in the setting of graphical b-metric spaces and obtain some fixed-point theorems. Our results are significant generalizations and extensions of some well-known results in the existing theory. …”
Get full text

Solution of Sequential Hadamard Fractional Differential Equations by Variation of Parameter Technique by Mohammed M. Matar

“…Firstly, we obtain the solution of the linear equations using variation of parameter technique, and next we investigate the existence theorems of the corresponding nonlinear types using some fixed-point theorems. Finally, some examples are given to explain the theorems.…”
Get full text

Positive Solutions for Singular Complementary Lidstone Boundary Value Problems by Fanglei Wang, Yukun An

“…By using fixed-point theorems of a cone, we investigate the existence and multiplicity of positive solutions for complementary Lidstone boundary value problems: (−1)𝑛𝑢(2𝑛+1)(𝑡)=ℎ(𝑡)𝑓(𝑢(𝑡)), in 0<𝑡<1, 𝑢(0)=0, 𝑢(2𝑖+1)(0)=𝑢(2𝑖+1)(1)=0, 0≤𝑖≤𝑛−1, where 𝑛∈𝑁.…”
Get full text

Existence and Uniqueness of Positive Solutions for a Coupled System of Fractional Differential Equations by Hanying Feng, Xiaofeng Zhang

“…Firstly, we give Green’s functions and prove their properties; secondly, the existence and uniqueness of positive solutions are obtained by using some fixed point theorems. In addition, two examples are presented to demonstrate the application of our main results.…”
Get full text

On Neutrosophic 2-Metric Spaces with Application by Ali Asghar, Aftab Hussain, Khaleel Ahmad, Umar Ishtiaq, Hamed Al Sulami, Nawab Hussain

“…In this situation, we prove various fixed point theorems. The findings support previous methodologies in the literature and are backed up by various examples and an application.…”
Get full text

Existence and Ulam–Hyers stability results for Caputo–Hadamard fractional differential equations with non-instantaneous impulses by Mesfin Teshome Beyene, Mitiku Daba Firdi, Tamirat Temesgen Dufera

“…By employing Banach’s and Schaefer’s fixed-point theorems, we attain the required results. Finally, we provide examples that support the main findings we arrived at.…”
Get full text

Existence of Solutions for Anti-Periodic Fractional Differential Inclusions with ψ-Caupto Fractional Derivative by Dandan Yang, Chuanzhi Bai

“…By means of some standard fixed point theorems, sufficient conditions for the existence of solutions for the fractional differential inclusions with ψ-Caputo derivatives are presented. …”
Get full text

Existence Results for Fractional Differential Inclusions with Multivalued Term Depending on Lower-Order Derivative by Xiaoyou Liu, Zhenhai Liu

“…Some existence results are obtained by using standard fixed point theorems. A possible generalization for the inclusion problem with integral boundary conditions is also discussed. …”
Get full text

On Some Interpolative Contractions of Suzuki Type Mappings by Andreea Fulga, Seher Sultan Yeşilkaya

“…We present some fixed point theorems for interpolative contraction operators using w-admissible maps which satisfy Suzuki type mappings. …”
Get full text

Random fixed points and random differential inclusions by Nikolaos S. Papageorgiou

“…Then we prove two fixed point theorems for random multifunctions with stochastic domain that satisfy certain tangential conditions. …”
Get full text

Some Extensions of Fixed Point Results over Quasi-JS-Spaces by Maha Noorwali, Hamed H. Alsulami, Erdal Karapınar

“…Our results unify and cover several existing fixed point theorems in distinct structures (such as standard quasi-metric spaces, quasi-b-metric spaces, dislocated quasi-metric spaces, and quasi-modular spaces) in the literature.…”
Get full text

Best Proximity Point Theorems for Single and Multivalued Mappings in Fuzzy Multiplicative Metric Space by Misbah Farheen, Tayyab Kamran, Azhar Hussain

“…As corollaries of our results, we prove some fixed-point theorems. Also, we present best proximity point theorems for Feng-Liu-type multivalued proximal contraction in fuzzy metric space. …”
Get full text

Hilfer-Hadamard Nonlocal Integro-Multipoint Fractional Boundary Value Problems by Chanon Promsakon, Sotiris K. Ntouyas, Jessada Tariboon

“…The existence of a unique solution is obtained via Banach contraction mapping principle, while the existence results are established by applying Schaefer and Krasnoselskii fixed point theorems as well as Leray-Schauder nonlinear alternative. …”
Get full text

On Best Proximity Points under the -Property on Partially Ordered Metric Spaces by Mohamed Jleli, Erdal Karapinar, Bessem Samet

“…In this paper, motivated by this mentioned work, we show that the most best proximity point results on a metric space endowed with a partial order (under the -property) can be deduced from existing fixed-point theorems in the literature. We present various model examples to illustrate this point of view.…”
Get full text

Common Fixed Points for Nonlinear Quasi-Contractions of Ćirić Type by Fei He

“…We establish common fixed points theorems for two self-mappings satisfying a nonlinear contractive condition of Ćirić type with a Q-function. …”
Get full text

Existence of Solutions for Riemann-Liouville Fractional Boundary Value Problem by Wenzhe Xie, Jing Xiao, Zhiguo Luo

“…By using the method of upper and lower solutions and fixed point theorems, the existence of solutions for a Riemann-Liouville fractional boundary value problem with the nonlinear term depending on fractional derivative of lower order is obtained under the classical Nagumo conditions. …”
Get full text

Coupled Coincidence Points in Partially Ordered Cone Metric Spaces with a c-Distance by Wasfi Shatanawi, Erdal Karapınar, Hassen Aydi

“…Cho et al. (2012) proved some coupled fixed point theorems in partially ordered cone metric spaces by using the concept of a c-distance in cone metric spaces. …”
Get full text