Common fixed points and S-best coapproximation in 2-Banach spaces

Abstract

In this paper, we studied the sufficient conditions for the existence of common fixed point theorem in a closed convex subset of 2-Banach spaces for a compatible pair of self-maps. Which is used to discover the connection between common fixed points and S-best coapproximation in 2-Banach spaces, Where the most theorem in the literature about these construct discuss many concepts, the first one concepts of convergence. Fixed point theorem may exhibit radically different doing for various course of instruction of mappings, it could not be convergent for others. Therefore, it is important to determine whether an iteration theorem converges to fixed point of a mapping. The second concept is the pace of convergence of iteration theorems, after examining convergence it is important to check whether this iteration theorem is faster than some well-known iteration theorems or not. If it is faster than some current iteration theorems, then it could be more useful than the other. The final examination concept is the stableness of fixed point theorems. The topic of stability, as an application of the hypothesis of fixed point.In this paper, we studied the sufficient conditions for the existence of common fixed point theorem in a closed convex subset of 2-Banach spaces for a compatible pair of self-maps. Which is used to discover the connection between common fixed points and S-best coapproximation in 2-Banach spaces, Where the most theorem in the literature about these construct discuss many concepts, the first one concepts of convergence. Fixed point theorem may exhibit radically different doing for various course of instruction of mappings, it could not be convergent for others. Therefore, it is important to determine whether an iteration theorem converges to fixed point of a mapping. The second concept is the pace of convergence of iteration theorems, after examining convergence it is important to check whether this iteration theorem is faster than some well-known iteration theorems or not. If it is faster than some current iteration theorems, then it could be more useful than the other. The final examination concept is the...