Fixed Point Theorems in Partially Ordered Metric Spaces and Existence Results for Integral Equations.
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| Title: | Fixed Point Theorems in Partially Ordered Metric Spaces and Existence Results for Integral Equations. |
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| Authors: | Nashine, HemantKumar1 (AUTHOR), Samet, Bessem2 (AUTHOR) bessem.samet@gmail.com, Vetro, Calogero3 (AUTHOR) |
| Source: | Numerical Functional Analysis & Optimization. Nov2012, Vol. 33 Issue 11, p1304-1320. 17p. |
| Subjects: | Fixed point theory, Partially ordered spaces, Metric spaces, Existence theorems, Integral equations, Contractions (Topology), Proof theory |
| Abstract: | We derive some new coincidence and common fixed point theorems for self-mappings satisfying a generalized contractive condition in partially ordered metric spaces. As applications of the presented theorems, we obtain fixed point results for generalized contraction of integral type and we prove an existence theorem for solutions of a system of integral equations. [ABSTRACT FROM PUBLISHER] |
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| Database: | Engineering Source |
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| Abstract: | We derive some new coincidence and common fixed point theorems for self-mappings satisfying a generalized contractive condition in partially ordered metric spaces. As applications of the presented theorems, we obtain fixed point results for generalized contraction of integral type and we prove an existence theorem for solutions of a system of integral equations. [ABSTRACT FROM PUBLISHER] |
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| ISSN: | 01630563 |
| DOI: | 10.1080/01630563.2012.675395 |
