A comparison of various noncommuting conditions in metric fixed point theory and their applications

Author:

Agarwal Ravi P,Bisht Ravindra K,Shahzad Naseer

Abstract

Abstract This paper presents a survey that aims to provide a brief historical account of the development through the definitions and comparison of weaker forms of commuting mappings set brought together from some applications oriented point of view. MSC:47H10, 54H25, 41A50.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology

Reference144 articles.

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2. Joshi MC, Bose RK: Some Topics in Nonlinear Functional Analysis. Wiley Eastern, New Delhi; 1985.

3. Boyce WB: Commuting functions with common fixed point. Trans. Am. Math. Soc. 1969, 137: 77–92.

4. Huneke JP: On common fixed points of commuting continuous functions on an interval. Trans. Am. Math. Soc. 1969, 139: 371–381.

5. Goebel K: A coincidence theorem. Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 1968, 16: 733–735.

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