Abstract and Applied Analysis

Krasnosel’skii Type Hybrid Fixed Point Theorems and Their Applications to Fractional Integral Equations

H. M. Srivastava, Sachin V. Bedre, S. M. Khairnar, and B. S. Desale

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Abstract

Some hybrid fixed point theorems of Krasnosel’skii type, which involve product of two operators, are proved in partially ordered normed linear spaces. These hybrid fixed point theorems are then applied to fractional integral equations for proving the existence of solutions under certain monotonicity conditions blending with the existence of the upper or lower solution.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 710746, 9 pages.

Dates
First available in Project Euclid: 27 February 2015

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1425048172

Digital Object Identifier
doi:10.1155/2014/710746

Mathematical Reviews number (MathSciNet)
MR3266301

Zentralblatt MATH identifier
06662991

Citation

Srivastava, H. M.; Bedre, Sachin V.; Khairnar, S. M.; Desale, B. S. Krasnosel’skii Type Hybrid Fixed Point Theorems and Their Applications to Fractional Integral Equations. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 710746, 9 pages. doi:10.1155/2014/710746. https://projecteuclid.org/euclid.aaa/1425048172


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