PPF dependent fixed point theorems for an "Equation missing" No EquationSource Format="TEX", only image and EquationSource Format="MATHML" -admissible non-self mapping in the Razumikhin class-Reference-Cited by-同舟云学术

PPF dependent fixed point theorems for an "Equation missing" No EquationSource Format="TEX", only image and EquationSource Format="MATHML" -admissible non-self mapping in the Razumikhin class

Published:2013-11-08 Issue:1 Volume:2013 Page:
ISSN:1687-1812
Container-title:Fixed Point Theory and Applications
language:en
Short-container-title:Fixed Point Theory Appl

Author:

Agarwal Ravi P,Kumam Poom,Sintunavarat Wutiphol

Abstract

Abstract In this paper, we introduce the concept of α c -admissible non-self mappings and prove the existence and convergence of the past-present-future (briefly, PPF) dependent fixed point theorems for such mappings in the Razumikhin class. We use these results to prove the PPF dependent fixed point of Bernfeld et al. (Appl. Anal. 6:271-280, 1977) and also apply our results to PPF dependent coincidence point theorems. MSC:47H09, 47H10.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology

Link

https://link.springer.com/content/pdf/10.1186/1687-1812-2013-280.pdf

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