Nonlinear Differential Equations and Mixture of Tarig Transform and Differential Transform Method

In this paper, we apply a new integral transform ''Tarig transform'' with the differential transform method to solve some nonlinear differential equations. The method is based on Tarig transform and differential transform methods. The nonlinear terms can be easily handled by the use of differential transform metho

Differential Sandwich Theorems for p-valent Analytic Functions Defined by Cho–Kwon–Srivastava Operator

By using of Cho–Kwon–Srivastava operator, we obtain some subordinations and superordinations results for certain normalized p-valent an­alytic functions

Some Notes on Fixed Point Theorems in ν-generalized Metric Spaces

We study ν-generalized metric spaces. We first study the concept of Cauchy sequence. We next give a proof of the Banach contraction principle in ν-generalized metric spaces. The proof is similar to the proof of the original Banach contraction principle in metric spaces. Also, we give proofs of Kannan’s and Ciric’s fixed point theorems in ν-generalized metric spaces

On some Mann's type iterative algorithms

AbstractFirst we present some interesting variants of Mann's method. In the last section, we show that many existing results in the literature are concrete realizations of our general scheme under varying assumptions on the coefficients

Caristi’s Fixed Point Theorem and Subrahmanyam’s Fixed Point Theorem in ν

We discuss the completeness of ν-generalized metric spaces in the sense of Branciari. We also prove generalizations of Subrahmanyam’s and Caristi’s fixed point theorem

Sufficient conditions to solve two systems of integral equations via fixed point results

Abstract The purpose of this paper is to study the solution of two systems of nonlinear integral equations via fixed point results in a complete dislocated b-metric space. Also the notion of graphic contractions on a closed set for two families of graph dominated multivalued mappings is introduced. Our results generalize some previous results in the existing literature

Fixed Point Theory in Bicomplex Metric Spaces: A New Framework with Applications

This paper investigates the existence of common fixed points for mappings satisfying generalized rational type contractive conditions in the framework of bicomplex valued metric spaces. Our findings extend well-established results in the existing literature. As an application of our leading result, we explore the existence and uniqueness of solutions of the Volttera integral equation of the second kind