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A Common Fixed Point Theorem Connected to a Result of V. Popa and H. K. Pathak
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Mohamed Akkouchi
Published/Copyright:
March 10, 2010
Abstract
In this paper, we prove a common fixed point theorem for two pairs of weakly compatible self-mappings of a complete metric space without requiring continuity. Our result generalizes a theorem obtained by V. Popa and H. K. Pathak in 1998 and a result obtained by B. Fisher and S. Sessa in 1986.
Key words and phrases:: Common fixed points in metric spaces; weakly commuting mappings; compatible mappings; compatible mappings of type (A); compatible mappings of type (B); weakly compatible mappings
Received: 2005-01-10
Published Online: 2010-03-10
Published in Print: 2006-March
© Heldermann Verlag
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Articles in the same Issue
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- Holomorphic Vector Bundles on Holomorphically Convex Complex Manifolds
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- On Generating Relations Involving Generalized Gegenbauer Polynomials
- On Some Mutual Positions of Hyperplanes in a Finite-Dimensional Affine Space
- The Maximal Operator in Variable Spaces 𝐿 𝑝(·)(Ω, ρ) with Oscillating Weights
- A Rational Model for the Evaluation Map
- The Pseudo-Spectral Collocation Method for Resonant Long-Short Nonlinear Wave Interaction
- A Vector-Valued Sharp Maximal Inequality on Morrey Spaces with Non-Doubling Measures
- A Noether Theorem on Unimprovable Conservation Laws for Vector-Valued Optimization Problems in Control Theory
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