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Some results on common fixed points for weakly compatible mappings satisfying Altman integral type contraction

Pathak H., Rodriquez-Lopez R.

Demonstratio Mathematica

2009

Vol. 42, nr 1

143-162

In this paper, a common fixed point theorem for two pairs of weakly compatible mappings satisfying Altman integral type contraction in a metric space is proved. Our result extends and improves several known results.

Pathak H., Mishra S.

Demonstratio Mathematica

2001

Vol. 34, nr 4

859-872

Common fixed point theorems with applications to nonlinear integral equations

Pathak H., Mishra S., Kalinde A.

Demonstratio Mathematica

1999

Vol. 32, nr 3

547-564

Various definitions of compatible maps are characterized and compared in terms of continuity of maps, fixed points and certain limits. Common fixed point theorems for a new class of compatible maps on complete metric spaces are proved. Subsequently, the main result is applied to prove the existence of solutions of two systems of nonlinear integral equation.

A fixed point theorem in Banach spaces over topological semifields and an application

Pathak H., Lakshmi V., Tas K., Fisher B.

Demonstratio Mathematica

1999

Vol. 32, nr 1

139-143

A fixed point theorem for three mappings on a Banach space x over a topological semifield is proved. An application is given for the solvability of certain non-linear functional equations in X.

Compatible mappings of type (C) and common fixed point theorems of Gregus type

Pathak H., Cho Y., Kang S., Madharia B.

Demonstratio Mathematica

1998

Vol. 31, nr 3

499-518

In this paper, we introduce the concept of compatible mappings of type (C) in normed spaces and compare these mappings with compatible mappings of type (A) and compatible mappings of type (B). In the sequel, we establish a common fixed point theorem for two pairs of compatible mappings of type (C) for Gregus type contraction condition. Our main result improves, extends and modifies several known results.