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Common fixed point of four mappings satisfying implicit generalized weak contractive type condition

Sedghi S., Shobe N., Abbas M.

Demonstratio Mathematica

2014

Vol. 47, nr 2

396--410

In this paper, common fixed point for four maps using an implicit contractive condition in a complete metric space is proved. Some periodic point results for such mappings are also obtained. These results extend and generalize several comparable results in the current literature.

Common fixed point theorems under contractive conditions of integral type in symmetric spaces

Merghadi F., Godet-Thobie C.

Demonstratio Mathematica

2013

Vol. 46, nr 4

757--780

The purpose of this paper is to prove common fixed point theorems for a family of mappings in symmetric spaces using the property (E.A) and weak compatibility or occasionally weak compatibility. Our results extend some recent results.

Common fixed points for weakly compatible maps satisfying implicit relations without continuity

Akkouchi M.

Demonstratio Mathematica

2011

Vol. 44, nr 1

151--158

The purpose of this paper is to prove a common fixed point theorem for a set of four mappings on a complete metric space, using weak compatibility and a general implicit relation without appeal to continuity. Our results improve and generalize all the results obtained by A. Djoudi in a paper published in 2003.

Compatible maps and compatible maps of types (alpha) and (beta) in instutionstic fuzzy metric spaces

Turkoglu D., Alaca C., Yildiz C.

Demonstratio Mathematica

2006

Vol. 39, nr 3

671-684

In this paper, we first formulate the definition of compatible maps and compatible maps of types (alpha) and (beta) in intuitionistic fuzzy metric spaces and give some relations between the concepts of compatible maps and compatible maps of types (alpha) and (beta).

General fixed point theorems for weakly compatible maps

Djoudi A.

Demonstratio Mathematica

2005

Vol. 38, nr 1

197--205

The purpose of this note is to use general expanssive conditions and minimal type commutativity without continuity requirements to prove some fixed point theorems. The theorems extend known results from the class of compatible continuous expansive maps to a wider class of mappings.

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.

Common fixed point theorems for three expansive self-maps in D-metric spaces

Singh B., Jain S.

Demonstratio Mathematica

2005

Vol. 38, nr 3

703--713

B. Singh and R. K. Sharma [Demonstratio Math. Vol. 36, No.l (2003), 215-220] have proved two common fixed point theorems for two self-maps satisfying an expansive condition in D- metric spaces. This note offers generalization for these theorems for three self-maps using weak- compatibility and reduces the domain of z to an orbit only. The last theorem proves that the continuity of none of two or three maps is required in the setting of D- metric space.