Strong Convergence Theorems for Strictly Asymptotically Pseudocontractive Mappings in Hilbert Spaces

We propose a new (CQ) algorithm for strictly asymptotically pseudo-contractive mappings and obtain a strong convergence theorem for this class ofmappings in the framework of Hilbert spaces.DOI : http://dx.doi.org/10.22342/jims.16.1.29.25-3

Coupled fixed point theorems with applications to fractional evolution equations

Abstract In this paper, we first prove some coupled fixed point theorems in partially ordered Φ-orbitally complete normed linear spaces. And then apply the obtained fixed point theorems to a class of semilinear evolution systems of fractional order for proving the existence of coupled mild solutions under some weaker monotone conditions. An example is given to illustrate the application of the abstract results

Solution and Stability of Quartic Functional Equations in Modular Spaces by Using Fatou Property

We propose a novel generalized quartic functional equation and investigate its Hyers–Ulam stability in modular spaces using a fixed point technique and the Fatou property in this paper

Discussion on the existence of mild solution for fractional derivative by Mittag–Leffler kernel to fractional stochastic neutral differential inclusions

Fractional calculus is now used to accurately depict a range of real occurrences because it can explain the “long-tail memory” phenomena that have been seen through empirical research. Standard differential equations with integer order derivatives cannot predict this influence since the future state in this case depends on a number of prior states that is equal to the maximum order of derivatives present in the differential equation. This paper is mainly focusing the existence outcomes of Atangana-Baleanu fractional stochastic systems as well as fractional neutral stochastic systems. The essential findings are developed utilizing ideals and principles of stochastic systems, multivalued map theory, fractional derivative, and fixed point approaches. We start by focusing on the existence of mild solutions for the abstract systems and we extend the analysis to the neutral system. Finally, an illustration is presented to define our primary findings