Fixed Point Theorems for Nonlinear Contractions in Menger Spaces | Zendy

Jeong Sheok Ume | Zendy

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Fixed Point Theorems for Nonlinear Contractions in Menger Spaces

Author(s) -

Jeong Sheok Ume

Publication year - 2011

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2011/143959

Subject(s) - mathematics , contraction (grammar) , fixed point theorem , fixed point , nonlinear system , extension (predicate logic) , type (biology) , class (philosophy) , pure mathematics , discrete mathematics , mathematical analysis , computer science , artificial intelligence , medicine , ecology , physics , quantum mechanics , biology , programming language

The main purpose of this paper is to introduce a new class of Ćirić-typecontraction and to present some fixed point theorems for this mapping as well asfor Caristi-type contraction. Several examples are given to show that our resultsare proper extension of many known results

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