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A fixed point theorem for ψF-Geraghty contraction on metric-like spaces

Acar Ö., Altun I.

Fasciculi Mathematici

2017

Nr 59

5--12

In this paper, we define a new type Geraghty type contraction, ψF-Geraghty contraction, and prove a fixed point theorem for this type contraction and give an illustrative example.

Some properties of T-metric spaces and a common fixed point theorem

Sedghi S., Altun I., Shobe N.

Fasciculi Mathematici

2012

Nr 48

105--118

In this paper, we introduce the new definitions of T-metric space and give some properties of it. Also, we prove a common fixed point theorem for for four mappings under the condition of weakly compatible in complete T-metric spaces. A lot of fixed point theorems on ordinary metric space are special case of our main result, since every ordinary metric space is also T-metric space.

Some fixed point theorems for mappings satisfying contractive condition of integral type on d-complete topological spaces

Altun I., Turkoglu D.

Fasciculi Mathematici

2009

Nr 42

5-15

In this paper, we prove two fixed point theorems for mappings satisfying contractive condition of integral type on d-complete Hausdorff topological spaces.

Fixed point theorem for sequences of maps

Türkoğlu D., Altun I., Fisher B.

Demonstratio Mathematica

2005

Vol. 38, nr 2

461--468

In this paper, we prove a common fixed point theorem for sequences of maps under the condition of compatible mappings on complete metric space. We extend and generalize several fixed point theorems on complete metric space.