An Ulam stability result on quasi-b-metric-like spaces
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In this article, a class of general type α-admissible contraction mappings on quasi-b-metric-like spaces are defined and the existence and uniqueness of fixed points for this class of mappings are discussed and the results are applied to Ulam stability problems.Abstract:
Abstract In this paper a class of general type α-admissible contraction mappings on quasi-b-metric-like spaces are defined. Existence and uniqueness of fixed points for this class of mappings is discussed and the results are applied to Ulam stability problems. Various consequences of the main results are obtained and illustrative examples are presented.read more
Citations
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Uniqueness of solution for higher-order nonlinear fractional differential equations with multi-point and integral boundary conditions
TL;DR: In this paper, the existence and uniqueness of nonlinear fractional differential equations of higher-order with integral and multi-point boundary conditions are studied. But the authors focus on the problem of self-mappings with contractive iterates in a b-metric-like space.
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A numerical schemes and comparisons for fixed point results with applications to the solutions of Volterra integral equations in dislocatedextendedb-metricspace
TL;DR: In this article, a generalization of both b-metric and dislocated metric, namely, dislocated extended b-measure space, was proposed, and a relatively simple solution for a Volterra integral equation by using the technique of fixed point was proposed.
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A Short Survey on the Recent Fixed Point Results on $b$-Metric Spaces
TL;DR: The aim of this short survey is to collect and combine basic notions and results in the fixed point theory in the context of $b$-metric spaces and show that there are still enough rooms for several researchers in this interesting direction and a huge application potential.
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A Solution of Fredholm Integral Equation by Using the Cyclic η s q -Rational Contractive Mappings Technique in b-Metric-Like Spaces
TL;DR: The notion of cyclic η s q -rational contractive mappings is discussed and some fixed point theorems in the context of complete b-metric-like spaces are showed and new common fixed point outcomes in a directed graph are demonstrated.
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Different Types of Hyers-Ulam-Rassias Stabilities for a Class of Integro-Differential Equations
A. M. Simões,Luis P. Castro +1 more
TL;DR: In this paper, the authors introduce the notion of semi-Hyers-Ulam-Rassias stability, which is a type of stability somehow in-between the Hyers Ulam and HUlam Rassias stabilities.
References
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On the Stability of the Linear Functional Equation
TL;DR: This program includes in particular the complete theory of the convergence and divergence of formal series, the explicit determination of the essential transcendental invariants, the inverse Riemann theory both for the neighborhood of x = o and in the complete plane, explicit integral representation of the solutions, and finally the definition of q-sigma periodic matrices.
Book
Stability of Functional Equations in Several Variables
TL;DR: Approximate additive and approximately linear mappings stability of the quadratic functional equation generalizations, the method of invariant means approximately multiplicative mappings, superstability stability of functional equations for trigonometric and similar functions functions functions with bounded nth differences, stability of generalized orthogonality functional equation stability and set-valued mappings Stability of stationary and minimum points functional congruences quasi-additive functions and related topics as mentioned in this paper.
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Fixed point theorems for α–ψ-contractive type mappings
TL;DR: In this paper, the authors introduce a new concept of α - ψ -contractive type mappings and establish fixed point theorems for such mappings in complete metric spaces.
Fixed points for mappings satisfying cyclical contractive conditions
TL;DR: In this article, the authors considered the problem of non-pansive mappings of the type f : Ai → Ai+1, i = 1, 2, · · ·, p + 1, with Ap+1 = Ap, where the contractive assumptions are restricted to pairs (x, y) ∈ Ai×Ai+1.
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Generalized - Contractive Type Mappings and Related Fixed Point Theorems with Applications
Erdal Karapınar,Bessem Samet +1 more
TL;DR: In this paper, fixed point theorems for cyclic contractive mappings are established for metric spaces endowed with a partial order and for a class of contractive mapping mappings.