Two fixed point theorems on H+-metric spaces

Hemant Kumar Nashine; Rajendra Pant

Two fixed point theorems on H+-metric spaces

Hemant Kumar Nashine, Rajendra Pant

Research output: Contribution to journal › Article › peer-review

Abstract

Singh, Mishra and Pant [New fixed point theorems for asymptotically regular multi-valued maps, Nonlinear Anal. 71(2009), no. 7-8, 3299-3304] extended the work of Proinov [Fixed point theorems in metric spaces, Nonlinear Anal. 64(2006), 546-557] for multi-valued maps. In this paper, we extend their results for multivalued mappings in the setting of H+-metric spaces. An example presented herein shows the usefulness of our results.

Original language	English
Pages (from-to)	1-10
Number of pages	10
Journal	Indian Journal of Mathematics
Volume	59
Issue number	1
Publication status	Published - Apr 2017
Externally published	Yes

Keywords

Contraction
Fixed point
Multivalued mapping
Pompeiu-hausdorff metric

ASJC Scopus subject areas

General Mathematics

Cite this

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title = "Two fixed point theorems on H+-metric spaces",

abstract = "Singh, Mishra and Pant [New fixed point theorems for asymptotically regular multi-valued maps, Nonlinear Anal. 71(2009), no. 7-8, 3299-3304] extended the work of Proinov [Fixed point theorems in metric spaces, Nonlinear Anal. 64(2006), 546-557] for multi-valued maps. In this paper, we extend their results for multivalued mappings in the setting of H+-metric spaces. An example presented herein shows the usefulness of our results.",

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AU - Pant, Rajendra

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AB - Singh, Mishra and Pant [New fixed point theorems for asymptotically regular multi-valued maps, Nonlinear Anal. 71(2009), no. 7-8, 3299-3304] extended the work of Proinov [Fixed point theorems in metric spaces, Nonlinear Anal. 64(2006), 546-557] for multi-valued maps. In this paper, we extend their results for multivalued mappings in the setting of H+-metric spaces. An example presented herein shows the usefulness of our results.

KW - Contraction

KW - Fixed point

KW - Multivalued mapping

KW - Pompeiu-hausdorff metric

UR - https://www.scopus.com/pages/publications/85020276865

M3 - Article

AN - SCOPUS:85020276865

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JO - Indian Journal of Mathematics

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IS - 1

ER -

Two fixed point theorems on H+-metric spaces

Abstract

Keywords

ASJC Scopus subject areas

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