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Öğe Common fixed point of mappings satisfying almost generalized (S,T)-contractive condition in partially ordered partial metric spaces(Elsevier Science Inc, 2012) Shobkolaei, N.; Sedghi, S.; Roshan, J. R.; Altun, I.In this paper, we present the concept of almost generalized (S,T)-contractive condition, and combine this idea with the concept of partial metric and prove some common fixed point results in such spaces. An example is presented to verify the effectiveness and applicability of our main result. (C) 2012 Elsevier Inc. All rights reserved.Öğe Common Fixed Point Theorems for four mappings in d* Metric spaces(Chiang Mai Univ, Fac Science, 2009) Sedghi, S.; Altun, I.; Shobe, N.In this paper, we introduce the concept of d* metric space and prove some common fixed point theorems for four maps in d* metric spaces. These theorems are version of some known results in ordinary metric spaces.Öğe Coupled fixed point results on metric spaces defined by binary operations(Vasyl Stefanyk Precarpathian Natl Univ, 2018) Karami, A.; Shakeri, R.; Sedghi, S.; Altun, IIn parallel with the various generalizations of the Banach fixed point theorem in metric spaces, this theory is also transported to some different types of spaces including ultra metric spaces, fuzzy metric spaces, uniform spaces, partial metric spaces, b-metric spaces etc. In this context, first we define a binary normed operation on nonnegative real numbers and give some examples. Then we recall the concept of T-metric space and some important and fundamental properties of it. A T-metric space is a 3-tuple (X, T, lozenge), where X is a nonempty set, lozenge is a binary normed operation and T is a T-metric on X. Since the triangular inequality of T-metric depends on a binary operation, which includes the sum as a special case, a T-metric space is a real generalization of ordinary metric space. As main results, we present three coupled fixed point theorems for bivariate mappings satisfying some certain contractive inequalities on a complete T-metric space. It is easily seen that not only existence but also uniqueness of coupled fixed point guaranteed in these theorems. Also, we provide some suitable examples that illustrate our results.Öğe A fixed point theorem for multi-maps satisfying an implicit relation on metric spaces(Univ Belgrade, Fac Electrical Engineering, 2008) Sedghi, S.; Altun, I.; Shobe, N.We present a fixed point theorem for multi-valued mapping satisfying an implicit relation on metric spaces.Öğe A New Approach to Caristi's Fixed Point Theorem on Non-Archimedean Fuzzy Metric Spaces(Univ Sistan & Baluchestan, 2015) Sedghi, S.; Shobkolaei, N.; Altun, I.In the present paper, we give a new approach to Caristi's fixed point theorem on non-Archimedean fuzzy metric spaces. For this we define an ordinary metric d using the non-Archimedean fuzzy metric M on a nonempty set X and we establish some relationship between (X, d) and (X, M, *). Hence, we prove our result by considering the original Caristi's fixed point theorem.Öğe Some fixed point theorems for maps with fuzzy distance in uniform space(Springer, 2013) Shobkolaei, N.; Sedghi, S.; Altun, I.The purpose of this paper is to define the notion of fuzzy A-distance in uniform spaces and give several new common fixed point results for weakly compatible contractive or expansive selfmappings on uniform spaces.