Fixed Point Theorems in Cone Banach Spaces

By E. Karapınar. 2009

110 citations recorded by the source corpus.

In this manuscript, a class of self-mappings on cone Banach spaces which have at least one fixed point is considered. More precisely, for a closed and convex subset of a cone Banach space with the norm , if there exist , , and satisfies the conditions and for all , then has at least one Fixed point.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/00c96dc56282a7659be0d7866ee60aa4b0b4d871

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In Applied Mathematics

In Computational Theory and Mathematics

In Geometry and Topology

Citations in the corpus

On cone metric spaces: A survey (2011, background): “Soon after this work many articles concerned with cone spaces with normal cones appeared (see [9–53]).”
Fixed point theorems for multivalued maps in cone metric spaces (2011, background): “And the authors [24,25] obtained fixed point results in cone Banach spaces.”
Fixed Point Theorem for Cyclic Maps on Partial Metric spaces (2012, background): “Among these spaces are the metric spaces, quasi-metric spaces [6,9] cone metric spaces [10,11], Menger (statistical) spaces [20], fuzzy metric spaces [17].”
Couple Fixed Point on Cone Metric Spaces (2011, unknown): “[7, 13, 16, 17, 1, 2, 3, 4, 8, 9, 5] ).”
Some Common Coupled Fixed Point Results in Cone Metric Spaces (2010, background): “For a survey of coincidence point theory over cone metric spaces, we refer the reader (as examples) to [1-4,6-14].”