Special Sequences on Generalized Metric Spaces

On Generalized Probabilistic Metric Spaces

In the present paper we study some generalized probabilistic metric spaces. Relationships with another deterministic and probabilistic metric structures are analyzed. A contraction condition for mappings with values into such a generalized probabilistic metric space is given. Fixed point results are proved.

On Generalized Complete Metric Spaces

Sequences in Metric Spaces

The articles [15], [5], [17], [1], [16], [12], [18], [3], [4], [7], [8], [11], [9], [10], [2], [6], [13], and [14] provide the notation and terminology for this paper. For simplicity, we follow the rules: X is a metric space, x, y, z are elements of X , A is a non empty set, a is an element of A, G is a function from [:A, A :] into R, n, m are natural numbers, and r is a real number. Next we st...

Generalized multivalued $F$-contractions on complete metric spaces

In the present paper‎, ‎we introduce the concept of generalized multivalued $F$ -‎contraction mappings and give a fixed point result‎, ‎which is a proper‎ ‎generalization of some multivalued fixed point theorems including Nadler's‎.

Generalized multivalued $F$-weak contractions on complete metric spaces

In this paper,  we introduce the notion of  generalized multivalued  $F$- weak contraction and we prove some fixed point theorems related to introduced  contraction for multivalued mapping in complete metric spaces.  Our results extend and improve the results announced by many others with less hypothesis. Also, we give some illustrative examples.