Meir-Keeler Type Multidimensional Fixed Point Theorems in Partially Ordered Metric Spaces

By E. Karapınar, Antonio Roldán, Juan Martínez-Moreno, Concepción Roldán. 2013

56 citations recorded by the source corpus.

We study the existence and uniqueness of a fixed point of the multidimensional operators which satisfy Meir-Keeler type contraction condition. Our results extend, improve, and generalize the results mentioned above and the recent results on these topics in the literature.

View Paper: https://www.semanticscholar.org/paper/bf592f73c311de156d4c639d62071ac8f78c9694

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1. Antonio Roldán
2. Juan Martínez-Moreno
3. Concepción Roldán

Citations in the corpus

• Multidimensional Fixed-Point Theorems in Partially Ordered Complete Partial Metric Spaces under ()-Contractivity Conditions (2013, background): “If τ is a permutation ofΛ n , and we reorder (4), then we deduce that every coincidence point may be seen as a coincidence point associated to the identity mapping on Λ n (see, for instance, [28]).”
• Discussion on Generalized-(αψ, β)-Contractive Mappings via Generalized Altering Distance Function and Related Fixed Point Theorems (2014, unknown): “[9–11], among others.”