Coincidence and fixed points of multivalued F-contractions in generalized metric space with application

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]).…”

Some best proximity point results for multivalued mappings on partial metric spaces

“…This famous principle is a very useful tool for the existence and uniqueness of the solution of problems in various fields such as differential equations, integral equations, partial differential equations. Because of its applicability, many authors have studied to generalize this principle [4,8,16,18,24,26,27]. One of the interesting and famous generalizations was proved by Nadler [22] by taking into account multivalued mappings on metric spaces as follows.…”

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

“…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).…”