On a Fixed Point for Generalized Contractions in Generalized Metric Spaces

Some Fixed Point Theorems for Generalized Contractions in Metric Spaces with a Graph

Jachymski [ Proc. Amer. Math. Soc., 136 (2008), 1359-1373] gave modified version of a Banach fixed point theorem on a metric space endowed with a graph. In the present paper, (G, Φ)-graphic contractions have been de ned by using a comparison function and studied the existence of fixed points. Also, Hardy-Rogers G-contraction have been introduced and some fixed point theorems have been proved. S...

Fixed point for generalized contractions on G- metric spaces

We present fixed point results for generalized homotopy contractions on spaces with two G -metric. The focus is on continuation results for such type of mappings. MSC: 54H25 • 46J10

Some Fixed Point Results for the Generalized $F$-suzuki Type Contractions in $b$-metric Spaces

Compared with the previous work, the aim of  this paper is to introduce the more general concept of the generalized $F$-Suzuki type contraction mappings in $b$-metric spaces, and to establish some fixed point theorems in the setting of $b$-metric spaces. Our main results unify, complement and generalize the previous works in the existing literature.

A Fixed Point Theorem in Generalized D-metric Spaces

some fixed point theorems for generalized contractions in metric spaces with a graph

jachymski [ proc. amer. math. soc., 136 (2008), 1359-1373] gave modified version of a banach fixed point theorem on a metric space endowed with a graph. in the present paper, (g, φ)-graphic contractions have been de ned by using a comparison function and studied the existence of fixed points. also, hardy-rogers g-contraction have been introduced and some fixed point theorems have been proved. s...