Existence and uniqueness of continuous solution of mixed type integra equations in cone metric space

Authors

  • HL Tidke Department of Mathematics, Maharashtra University, Jalgaon
  • CT Aage Department of Mathematics, Maharashtra University, Jalgaon
  • JN Salunke Department of Mathematics, Maharashtra University, Jalgaon

DOI:

https://doi.org/10.3126/kuset.v7i1.5421

Keywords:

Cone metric space, Contractive mapping, ordered Banach space.

Abstract

In this paper we investigate the existence and uniqueness for Volterra-Fredholm type integral equations in cone metric spaces. The result is obtained by using the some extensions of Banach's contraction principle in complete cone metric space.

Mathematics Subject Classification: 45N05, 47G20, 34K05, 47H10.

Keywords: Cone metric space, Contractive mapping, ordered Banach space.

DOI: http://dx.doi.org/ 10.3126/kuset.v7i1.5421

KUSET 2011; 7(1): 48-55

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How to Cite

Tidke, H., Aage, C., & Salunke, J. (2011). Existence and uniqueness of continuous solution of mixed type integra equations in cone metric space. Kathmandu University Journal of Science, Engineering and Technology, 7(1), 48–55. https://doi.org/10.3126/kuset.v7i1.5421

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Section

Original Research Articles