Common fixed point theorems and applications

Pathak, H. K.; Chang, Shih Sen; Cho, Yeol Je; Jung, Jin Sup

doi:10.1155/s0161171297000033

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“…Also, this theory have been applied to show the existence and uniqueness of the solutions of differential equations, integral equations and many other branches of mathematics [16,30,31]. A basic result in fixed point theory is the Banach contraction principle.…”

Section: Introductionmentioning

confidence: 99%

On fixed soft element theorems in se-uniform spaces

Demir¹,

Ozbakir²,

Yildiz³

2016

J. Nonlinear Sci. Appl.

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First we introduce a new structure of uniform spaces, called se-uniform spaces, and provide some of their basic properties. Next, we present the notion of a soft E-distance in se-uniform spaces, which is a soft version of E-distance of Aamri and El Moutawakil [M. Aamri, D. El Moutawakil, Acta Math. Acad. Peadegog. Nyhazi., 20 (2004), 83-91]. Then, by using the soft E-distance, we establish some fixed soft element theorems for various mappings on se-uniform spaces, which are the main results of the paper. This is the first kind of such results in this direction.

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Section: Introductionmentioning

confidence: 99%

On fixed soft element theorems in se-uniform spaces

Demir¹,

Ozbakir²,

Yildiz³

2016

J. Nonlinear Sci. Appl.

View full text Add to dashboard Cite

show abstract

“…In particular, fixed point techniques have been applied in such diverse fields as Computer Science, Approximation Theory and Applied Mathematics (see, e.g., [6,7,9,11,13]). Results on multivalued functions have appeared in [1].…”

Section: Introductionmentioning

confidence: 99%