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601
Generalised Presic Type Operators in Modular Metric Space and an Application to Integral Equations of Caratheodory Type Functions
Published 2021-01-01“…Extending the Presic type operators to modular spaces, we introduce generalised Presic type w-contractive mappings and strongly w-contractive mappings in a modular metric space and establish fixed-point theorems for such contractions in modular spaces. …”
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602
On Extended b-Rectangular and Controlled Rectangular Fuzzy Metric-Like Spaces with Application
Published 2022-01-01“…We use fuzzy contraction and prove Banach fixed point theorems in these spaces. As an application, we utilize our main results to solve the uniqueness of the solution of a differential equation occurring in the dynamic market equilibrium.…”
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603
Existence of Solutions for Nonlinear Integral Equations in Tempered Sequence Spaces via Generalized Darbo-Type Theorem
Published 2022-01-01“…We first demonstrate the generalized Darbo-type fixed point theorems involving the concept of continuous functions. …”
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604
Some Coincidence and Common Fixed Point Results in Fuzzy Metric Space with an Application to Differential Equations
Published 2021-01-01“…In this paper, we study some coincidence point and common fixed point theorems in fuzzy metric spaces by using three-self-mappings. …”
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605
Coupled Coincidence Point Theorems for New Types of Mixed Monotone Multivalued Mappings in Partially Ordered Metric Spaces
Published 2013-01-01“…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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606
Fixed-Point Results for Generalized α-Admissible Hardy-Rogers’ Contractions in Cone b2-Metric Spaces over Banach’s Algebras with Application
Published 2020-01-01“…Furthermore, using α-admissible Hardy-Rogers’ contractive conditions, we have proven fixed-point theorems for self-mappings, which generalize and strengthen many of the conclusions in existing literature. …”
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607
On nonlinear fractional Hahn integrodifference equations via nonlocal fractional Hahn integral boundary conditions
Published 2024-12-01“…To establish these results, we apply the Banach and Schauder fixed-point theorems. Furthermore, the Hyers-Ulam stability of solutions is studied.…”
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608
Common Fixed Points of Two Mappings regarding a Generalized c-Distance over a Banach Algebra
Published 2021-01-01“…In this article, applying the concept of a generalized c-distance in cone b-metric spaces over Banach algebra with a nonnormal solid cone therein, we establish several common fixed point theorems for two noncontinuous mappings satisfying the Han-Xu-type contraction. …”
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609
Analysis of a Coupled System of Nonlinear Fractional Langevin Equations with Certain Nonlocal and Nonseparated Boundary Conditions
Published 2021-01-01“…In this article, we use some fixed point theorems to discuss the existence and uniqueness of solutions to a coupled system of a nonlinear Langevin differential equation which involves Caputo fractional derivatives of different orders and is governed by new type of nonlocal and nonseparated boundary conditions consisting of fractional integrals and derivatives. …”
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610
(m1,m2)-pseudo almost periodic solutions of Clifford-valued high-order fuzzy cellular neural networks with time delays
Published 2025-03-01“…This article mainly focuses on exploring the pseudo periodic dynamics of a class of Clifford-valued high-order fuzzy cellular neural networks (FCNNs) using non decomposition methods. By utilizing fixed point theorems, inequality techniques, and contradiction methods, the existence and stability of pseudo periodic solutions for this type of neural network (NN) were obtained. …”
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611
Existence of a unique solution to a fourth-order boundary value problem and elastic beam analysis
Published 2024-09-01“…The primary tools employed in this study include the application of Banach's and Rus's fixed point theorems. Our theoretical results are applied to elastic beam deflections when the beam is subjected to a loading force and both ends are clamped. …”
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612
Fixed-Point Results Related to b-Intuitionistic Fuzzy Metric Space
Published 2022-01-01“…Subsequently, we simplify the proofs of manifold fixed-point theorems in the intuitionistic fuzzy b-metric spaces under the prominent contraction conditions. …”
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613
An Approach of Integral Equations in Complex-Valued b-Metric Space Using Commuting Self-Maps
Published 2022-01-01“…This paper is aimed at establishing some unique common fixed point theorems in complex-valued b-metric space under the rational type contraction conditions for three self-mappings in which the one self-map is continuous. …”
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614
The Existence and Uniqueness of a Class of Fractional Differential Equations
Published 2014-01-01“…By using inequalities, fixed point theorems, and lower and upper solution method, the existence and uniqueness of a class of fractional initial value problems, D0+qx(t)=f(t,x(t), D0+q-1x(t)), t∈(0,T), x(0)=0, D0+q-1x(0)=x0, are discussed, where f∈C([0,T]×R2,R),D0+qx(t) is the standard Riemann-Liouville fractional derivative, 1<q<2. …”
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615
Hβ-Hausdorff Functions and Common Fixed Points of Multivalued Operators in a b-Metric Space and Their Applications
Published 2022-01-01“…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. …”
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616
Multiple Positive Solutions of a Second Order Nonlinear Semipositone m-Point Boundary Value Problem on Time Scales
Published 2010-01-01“…The arguments are based upon fixed-point theorems in a cone.…”
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617
Qualitative Analyses of Fractional Integrodifferential Equations with a Variable Order under the Mittag-Leffler Power Law
Published 2022-01-01“…Next, we prove the existence and uniqueness of analytic results by application of Krasnoselskii’s and Banach’s fixed point theorems. Besides, the guarantee of the existence of solutions is shown by different types of Ulam-Hyer’s stability. …”
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618
Multiple Positive Solutions to Multipoint Boundary Value Problem for a System of Second-Order Nonlinear Semipositone Differential Equations on Time Scales
Published 2013-01-01“…The arguments are based upon fixed-point theorems in a cone.…”
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619
Best Proximity Point Results for Modified --Proximal Rational Contractions
Published 2013-01-01“…Several interesting consequences of our obtained results are presented in the form of new fixed point theorems which contain famous Banach's contraction principle and some of its generalizations as special cases. …”
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620
Multipoint BVP for the Langevin Equation under φ-Hilfer Fractional Operator
Published 2022-01-01“…Next, we investigate and develop sufficient conditions for the existence and uniqueness of solutions by means of semigroups of operator approach and the Krasnoselskii fixed point theorems as well as Banach contraction principle. …”
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