Two fixed-point theorems for mappings satisfying a general contractive condition of integral type

By B. Rhoades. 2003

264 citations recorded by the source corpus.

We establish two fixed-point theorems for mappings satisfying a general contractive inequality of integral type. These results substantially extend the theorem of Branciari (2002).

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/a39c143ebc3a92739ab4f4e289969ba63ecdf1d3

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In Geometry and Topology

1. Mujahid Abbas
2. Bessem Samet
3. Ishak Altun
4. D. Türkoğlu
5. Valeriu Popa
6. M. Mocanu
7. E. Karapınar
8. B. Rhoades

Citations in the corpus

• Common Fixed Point Theorems for Hybrid Pairs of Occasionally Weakly Compatible Mappings Satisfying Generalized Contractive Condition of Integral Type (2007, background): “Rhoades [6] proved two fixed point theorems involving more general contractive conditions (see also [7–9]).”
• SOME FIXED POINT THEOREMS FOR WEAKLY COMPATIBLE MAPPINGS SATISFYING AN IMPLICIT RELATION (2009, background): “Theorem 1 has been generalized in [4, 21] and [31].”
• A FIXED POINT THEOREM IN A GENERALIZED METRIC SPACE FOR MAPPINGS SATISFYING A CONTRACTIVE CONDITION OF INTEGRAL TYPE (2009, background): “(5) Assume that y = fy, then d(y, fy) > 0, and by (3), we obtain ∫ d(y,fy)”
• Altering Distance and Common Fixed Points under Implicit Relations (2009, background): “Some fixed point theorems in symmetric spaces for compatible and weakly compatible mappings are proved in [1], [11], [20], [17] and other papers.”
• Fixed Points of Weakly Compatible Maps Satisfying a General Contractive Condition of Integral Type (2007, background): “This result substantially extends the theorems of [1, 4, 6].”