Nonlinear fuzzy approximation of a mixed type ACQ functional equation via fixed point alternative

The Fixed Point Method for Fuzzy Approximation of a Functional Equation Associated with Inner Product Spaces

Th. M. Rassias 1984 proved that the norm defined over a real vector space X is induced by an inner product if and only if for a fixed integer n ≥ 2, ∑ni 1 ‖xi − 1/n ∑n j 1 xj‖ ∑n i 1 ‖xi‖ − n‖ 1/n ∑ni 1 xi‖ holds for all x1, . . . , xn ∈ X. The aim of this paper is to extend the applications of the fixed point alternative method to provide a fuzzy stability for the functional equation ∑n i 1 f ...

Fixed point theorems in locally convex spaces and a nonlinear integral equation of mixed type

*Correspondence: [email protected] School of Mathematics and Physics, Changzhou University, Changzhou, Jiangsu 213164, China Abstract In this paper, we provide a new approach for discussing the solvability of a class of operator equations by establishing fixed point theorems in locally convex spaces. Our results are obtained extend some Krasnosel’skii type fixed point theorems. As an applicatio...

Stability of a Mixed Type Functional Equation on Multi-Banach Spaces: A Fixed Point Approach

A Fixed Point Approach to the Stability of a Mixed Type Additive and Quadratic Functional Equation

In this paper, we investigate the stability problems for a functional equation f(ax + y) + af(x − y) − a2+3a 2 f(x) −a(a−1) 2 f(−x)− f(y) − af(−y) = 0 by using the fixed point method. Mathematics Subject Classification: Primary 39B82, 39B62; Secondary 47H10

Approximation the fuzzy solution of the non linear fuzzy Volterra integro differential equation using fixed point theorems