Inverse-C-class function on weak semi compatibility and fixed point theorems for expansive mappings in G-metric spaces

Common Fixed Point Theorems via Inverse C k − Class Functions in Metric Spaces

“…We also give a brief discussion on the relation between new notions and other existing types of compatibility. Motivated by the notion of inverse C-class functions, a distinct concept of inverse C k class functions is introduced which extends the notion of inverse C-class functions introduced by Saleem et al [1,21]. Moreover, some common fixed point theorems are stated under some compatible conditions such as semicompatibility, semicompatibility of type (A), weak semicompatibility, conditional semicompatibility, and S τ -compatibility in metric spaces via inverse C k class functions which are a valuable supplement to the common fixed point theory.…”

“…Afterward, by the motivation of C− class functions, Saleem et al [1,21] introduced a new notion of inverse C− class functions as follows.…”

On Generalized Rational α − Geraghty Contraction Mappings in G − Metric Spaces

“…Hussain et al [12] established a generalized form of α− admissible mappings in order to prove coincidence points and common fixed points in the framework of G-metric spaces. Furthermore, several authors obtained different kinds of generalization of Banach contraction principle in different spaces (see for details [13][14][15][16][17][18][19][20]).…”

Common Fixed-Point Theorems of Generalizedψ,φ−Weakly Contractive Mappings inb−Metric-Like Spaces and Application

“…In 2020, Abbas et al [12] introduced the concepts of ψ-contraction and monotone ψ-contraction correspondence in fuzzy b-metric spaces and obtained fixed-point results for these contractive mappings. Ansari et al [13] introduced the concept of inverse C-class function in G-metric setting and established some fixed-point theorems. Recently, Saleem et al [14] proved some new fixed-point theorems, coincidence point theorems, and common fixed-point theorems for multivalued F-contractions involving a binary relation that is not necessarily a partial order, in the context of generalized metric spaces (in the sense of Jleli and Samet).…”