Fixed point theorems for Ciric type generalized contractions defined on cyclic representations

Abstract

The purpose of this paper is to investigate the properties of someĆirić type generalized contractions defined on cyclic representations in a metric space.

Coupled fixed points and coupled best proximity points for cyclic Ćirić type operators

“…We introduce now the following new concept. The following theorem (which is a particular case of Theorem 3.2 in [16]) will be used to prove our results presented in this section. for any x ∈ A and y ∈ B , then the following statements hold:…”

“…The following theorem (which is a particular case of Theorem 3.2 in [16]) will be used to prove our results presented in this section.…”

“…Theorem 3.1 ( [ 16 ] ) . Let false(X,dfalse) be a complete metric space, A,B∈Pcl(X) , ϕ:ℝ+ →ℝ+ be a strong comparison function and f:A∪B→A∪B be an operator such that f(A) ⊆ B and f(B) ⊆ A .…”