Abstract The aim of this work is to establish results in fixed point theory for a pair fuzzy dominated mappings which forms rational V -contraction modular-like metric spaces. Some via partial order and using the graph concept are also developed. We apply our ensure existence solution nonlinear Volterra-type integral equations.

Abstract In this work, we investigate h - ϕ contraction mappings with two metrics endowed a directed graph which involve auxiliary functions. The achievement allows us to obtain applications for the existence of solutions Caputo fractional boundary value problems integral condition type. addition, also give examples and numerical experiments supporting our main results.

In this paper, we prove fixed point theorem via orthogonal Geraghty type α-admissible contraction map in an complete Branciari b-metric spaces context. An example is presented to strengthen our main result. We provided application find the existence and uniqueness of a solution Volterra integral equation. have compared approximate exact numerically.

In this paper, we prove some new fixed point theorems involving set-valued F-contractions in the setting of quasi-ordered metric spaces. Our results are significant since present Banach contraction principle a different manner from that which is known literature. Some examples and an application to existence solution Volterra-type integral equation given support obtained

In this article, we introduce a new concept of admissible contraction and prove fixed point theorems which generalize Banach principle in different way more than the known results from literature. The article includes an example shows validity our results, additionally obtain solution integral equation by mapping setting b-metric spaces.

In this paper, we introduce a new contraction-type mapping and provide fixed-point theorem which generalizes improves some existing results in the literature. Thus, prove that Boyd Wong (1969) and, more recently, due to Wardowski (2012), Turinici Piri Kumam (2016), Secelean Proinov (2020), others are consequences of our main result. An application integral equations illustrative examples indica...

We use the contraction mapping theorem to present existence and uniqueness of solutions in a short time system non-linear Volterra integral equations certain type direct-sum H[a; b] Hilbert space V[a; b]. extend local global proposed problem. Because kernel function is transcendental on interval [a; b], results are novel very important numerical approximation.

‎we study dual integral equations which appear in formulation of the‎ ‎potential distribution of an electrified plate with mixed boundary‎ ‎conditions‎. ‎these equations will be converted to a system of‎ ‎singular integral equations with cauchy type kernels‎. ‎using‎ ‎chebyshev polynomials‎, ‎we propose a method to approximate the‎ ‎solution of cauchy type singular integral equation which will ...

fractional calculus is the field of mathematical analysis which deals with the investigation and applications of integrals and derivatives of arbitrary order.the purpose of this work is to use hadamard fractional integral to establish some new integral inequalities of gruss type by using one or two parameters which ensues four main results . furthermore, other integral inequalities of reverse m...