New fixed point theorems for mappings satisfying a generalized weakly contractive condition with weaker control functions

Hemant Kumar Nashine

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Displaying similar documents to “New fixed point theorems for mappings satisfying a generalized weakly contractive condition with weaker control functions”

Some Common Fixed Point Theorems in Menger Spaces

Sunny Chauhan, B. D. Pant (2013)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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In this paper, we prove some common fixed point theorems for occasionally weakly compatible mappings in Menger spaces. An example is also given to illustrate the main result. As applications to our results, we obtain the corresponding fixed point theorems in metric spaces. Our results improve and extend many known results existing in the literature.

Common fixed points for $δ$ -compatible mappings.

Rashwan, R.A., Ahmed, M.A. (1996)

Southwest Journal of Pure and Applied Mathematics [electronic only]

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A note on “Some results on multi-valued weakly Jungck mappings in b-metric space”

Monica-Felicia Bota, Erdal Karapınar (2013)

Open Mathematics

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The proofs of Theorems 2.1, 2.2 and 2.3 from [Olatinwo M.O., Some results on multi-valued weakly jungck mappings in b-metric space, Cent. Eur. J. Math., 2008, 6(4), 610–621] base on faulty evaluations. We give here correct but weaker versions of these theorems.

On weakly zero-dimensional mappings

K. Kuperberg, W. Kuperberg (1971)

Colloquium Mathematicae

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Set-valued maps with fixed and coincidence points.

Pathak, H.K., Khan, M.S. (1996)

Southwest Journal of Pure and Applied Mathematics [electronic only]

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Some common fixed point theorems for weakly compatible mappings in metric spaces.

Ahmed, M.A. (2009)

Fixed Point Theory and Applications [electronic only]

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On common fixed point theorems for three and four self mappings satisfying contractive conditions

Hakima Bouhadjera (2010)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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In this contribution, we discuss some unique common fixed point theorems for three and four occasionally weakly compatible mappings satisfying different types of contractive condition.

On the weakly(α, ψ, ξ)-contractive condition for multi-valued operators in metric spaces and related fixed point results

Marwan Amin Kutbi, Wutiphol Sintunavarat (2016)

Open Mathematics

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The aim of this paper is to introduce the concept of a new nonlinear multi-valued mapping so called weakly (α, ψ, ξ)-contractive mapping and prove fixed point results for such mappings in metric spaces. Our results unify, generalize and complement various results from the literature. We give some examples which support our main results while previous results in literature are not applicable. Also, we analyze the existence of fixed points for mappings satisfying a general contractive...