Related Fixed Point Theorem for Mappings on Three Metric Spaces

Bishwakumar, L.; Rohen, Yumnam

doi:10.12691/ajams-2-4-13

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2016

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“…L. Bishwakumar and Y. Rohen [34] generalized the result of Murthy and Fisher [7] to uniform space. Yumnam Rohen and L. Bishwakumar [35] generalized the result of Namdeo, Tiwari, Fisher and Tas [8] to uniform space.…”

Section: Introductionmentioning

confidence: 99%

“…They take three metric spaces of which one is a compact metric space. L. Bishwakumar and Y. Rohen [49] proved another version of the theorem of Fisher and Rao [48] by taking different inequality. Zaheer K. Ansari, Manish Sharma and Arun Garg [50] proved two related fixed point theorems in three complete metric spaces by considering three continuous mappings.…”

Section: Introductionmentioning

confidence: 99%

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Some Remarks on Related Fixed Point Theorems

Rohen¹,

Murthy²

2016

Int. J. of Pure and Appl. Math.

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In this paper we present a survey of related fixed point theorems in different spaces starting from the results of Fisher. It also includes results in set valued and implicit functions. Regarding the spaces we include metric space, uniform space, fuzzy metric space, menger space, symmetric space, partial metric space etc. Further, we prove two related fixed point theorems in three metric spaces by considering three set valued mappings.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%