C-class functions with new approach on coincidence point results for generalized $$(\psi ,\varphi )$$ ( ψ , φ ) -weakly contractions in ordered b-metric spaces

Abstract

In this paper, by using the C-class functions and a new approach we present some coincidence point results for four mappings satisfying generalized -weakly contractive condition in the setting of ordered b-metric spaces. Also, an application and example are given to support our results.

Common Fixed Point Results of Set Valued Maps for Aφ-Contraction and Generalized ϕ-Type Weak Contraction

“…There have been enormous developments in the area of existence and uniqueness of fixed point for multi valued and set valued mappings in various directions-see [5][6][7][8][9][10][11][12][13][14][15][16]. Some references that have been instrumental for the current work are [17][18][19][20][21][22][23][24][25][26][27].…”

Common fixed point theorems for two pairs of self-mappings in partial metric space using C-class functions on (ψ,φ)-contractive condition

“…In 2014 the concept of C-class functions (see Definition 1.6) was introduced by Ansari in [3]. For more results on common fixed point for different metric spaces see the references [2,[10][11][12][18][19][20][21][22][23][24][25][26][27].…”