In the setting of hyperbolic spaces, we show that convergence Browder-type sequences and Halpern iterations respectively entail their viscosity version with a Rakotch map. We also hybrid Krasnoselskii-Mann iteration follows from Browder type sequence. Our results follow proof-theoretic techniques (proof mining). From an analysis theorems due to T. Suzuki, extract transformation rates for origin...

In this paper, we introduce two iterative schemes by a modified Krasnoselskii-Mann algorithm for finding a common element of the set of solutions of equilibrium problems and the set of fixed points of multivalued nonexpansive mappings in Hilbert space. We prove that the sequence generated by the proposed method converges strongly to a common element of the set of solutions of equilibruim proble...

Fractional calculus, which deals with the concept of fractional derivatives and integrals, has become an important area research, due to its ability capture memory effects non-local behavior in modeling real-world phenomena. In this work, we study a new class Volterra–Fredholm integro-differential equations, involving Caputo–Katugampola derivative. By applying Krasnoselskii Banach fixed-point t...

The study of the interconnections between chemical systems is known as graph theory. Through use star graphs, a limited group researchers has examined space possible solutions for boundary-value problems. They recognized that their strategy to function, they needed core node related other nodes but not itself; result, opted graphs. In this sense, graphs neopentane will be helpful in extending s...

The Langevin system is an important mathematical model to describe Brownian motion. research shows that fractional differential equations have more advantages in viscoelasticity. exploration of dynamics novel and valuable. Compared with the Caputo or Riemann–Liouville (RL) derivatives, Mittag–Leffler (ML)-type derivatives can eliminate singularity such solution has better analytical properties....